Chapter 9. Chapters 5 8 Review, pages Analysing Graphs of Linear Relations, pages
|
|
- Alyson Barton
- 5 years ago
- Views:
Transcription
1 1. a) -7 No. Different sets of integers can have the same mean. Eample: {-, -1, 1, -,, -1} and {-, 9, -, 1,, } both have a sum of - and a mean of -7.. a decrease of 31 people per ear 3. 7 s. $7 Chapters Review, pages a). front top side front top side. a) (+) (+) = + (-) (-11) = + c) (-) (+) = -3 d) (-1) (-3) = a) Yes. Multiplication is repeated addition. Since the sum of an set of integers is an integer, the product of two integers is also an integer. No. Division of an integer b most other integers gives parts that do not contain a whole number of units. For eample, the quotient of divided b an integer greater than or less than - is not an integer.. $ ºC. 1 L 31. a) Chapter cm. a) area with bottom:. m area without bottom:.73 m. 3 m. 17. cm 7. clinder A: about 1 1 cm ; clinder B: about 39 cm. a) 1 das 1 das 9. 1 of a cake. 1 of the lifespan of a bison of Earth s surface 3 1. cm 13. a) winner: $; runner-up: $; third-place: $1 1. km/h 1. Method 1: Since 1 of the flagpole is m long, the remaining must be four times as long, which is m. Method : Since 1 of the flagpole is m long, the length of the whole flagpole is m, which equals m. The length of portion above ground is m - m, which equals m m 3 1. a) 1331 cm 3 about cm kg. a) cm 3 9 cm 3 1. cm 3. a) (+) (+3) = +1 (-1) (-) = + c) (-) (+) = -3 d) (-) (+) = - 3. Estimates ma var. a) and -; -1 and ; and -; - and ; and -; - and 9.1 Analsing Graphs of Linear Relations, pages a) The points appear to lie in a straight line. The total height increases b cm for each additional step. Number of Steps Total Height of Steps 1 3 c) total height on step : cm. a) The points appear to lie in a straight line. The number of students increases b si for each additional teacher. The pattern starts with one teacher and increases to four teachers. Number of Teachers Maimum Number of Students c) maimum number of students:. a) The quantities of banana chips range from g to g. The graph is linear because the points appear to lie in a straight line. Quantit (g) Cost ( ) 1 1 c) Yes, it is possible to bu amounts of banana chips that are not eactl multiples of g. 7. a) Yes, the points appear to lie in a straight line, so the graph shows a linear relation. The number of cubes varies from one to three. For ever increase of one cube, the height increases b cm. Answers MHR 1
2 Number of Cubes Height (cm) c) No, it is not possible to 1 include a point for c =.. The number of cubes must be whole numbers. 3. a) c) The points appear to lie in a straight line. For ever increase of one in the -value, there is an increase of two in the -value. d) value of when = 9: 1 9. a) Hours Worked Gross Pa ($) hourl rate of pa: $1 1 1 c) Yes, it is reasonable to include a point for h = 3.. An emploee could work 3 for three and a half hours. 7. a) Yes, it should be possible to purchase two flowers. There should be one point between the two points. 11. a) coordinates of point W: (, ) The number represents the amount of mone invested in dollars. The number represents the amount of interest earned b the $ investment after two ears, in dollars. c) The points lie in a straight line. For ever increase in $ invested there is an increase in $1 in the interest earned. d) simple interest earned on $1 after one ear: $9 1. a) Side Length, s (cm) Perimeter, P (cm) The points lie on a line. For ever increase of 1 cm in the side length of the square, there is an increase of cm in its perimeter. c) Yes, it is possible to have other points between those shown on the graph. It is possible to have squares with side lengths that are not whole numbers. Eample: A square might have a side length of 1.7 cm. d) Yes, the graph represents a linear relationship because the points lie in a straight line. 13. a) Quantit (g) Cost ( ) The points appear to lie in a straight line. The cost ranges 7 from 7 to. 1 c) estimated cost of g of dried apricots:. d) actual cost of g of dried apricots: 3. e) The difference in values was 3 - = a) Boes of Almonds Profit ($) 1 3 The points appear to lie in a straight line. There is an increase in profit of $1 for ever two boes of almonds sold. The profits range from $1 to $. c) profit on the sale of two boes of almonds: $1 d) value of P when the value b is : $1 This is the same value as in part c), since both questions refer to the same point on the graph. 1. a) The number refers to the number of minutes that Tom tped; refers to the number of words that he tped in the two minutes. The tping speed for point A is words per minute. c) Yes, it is a linear relation because the points appear to lie in a straight line. d) Answer ma var. Eample: No. Fatigue, error correcting, or distractions can affect tping speed. 1. a) Time (h) Test Score (%) Yes, the graph is a linear relation. The points appear to lie in a straight line. c) No, the rate cannot continue to increase at this same rate with more and more studing. Alana s test scores will reach % after five hours of studing. It is not possible for her success rate to improve beond %. 17. a) Susie s wages: red points Time (h) Total Pa for Mario ($) Total Pa for Susie ($) c) The two sets of points will meet at the point (1, 1). 1. a) Mark: red points Kendal will run out of mone in 1 das. c) das 9. Patterns in a Table of Values, pages d. t a. a) a w difference in value for consecutive -values: 1; difference in value for consecutive a-values: c) The value of a is equal to four times the value of. d) a = MHR Answers
3 7. a) d difference in value for consecutive n-values: 1; 3 difference in value for consecutive d-values: 1 c) The value of d is si 1 times the value of n. d) d = n 1 3 7n. a) The relationship is linear because d 1 the difference between consecutive 1 values of each variable is constant. 1 The graph confirms that the relationship is linear. 1 3 n The relationship ma be linear because the difference between three of the consecutive 1 1 values of each variable is constant. The graph confirms that the relationship is linear a) The relationship is not linear. The difference between successive q-values is the same but the difference between successive p-values is not the same. The relationship is linear. The difference between successive -values is the same and the difference between successive -values is the same.. a) Time, t (min) 1 3 Number of Words, w Yes, the relation is linear because the consecutive values for each variable have the same difference. c) w = 9t where w is the number of words and t is the time in minutes. d) words. 11. a) Increase in Mass Over kg, m (kg) Dosage, d (mg) Yes. Consecutive values of m increase each time b 1, and consecutive values of d increase each time b. c) m + d) (17) + =. The dosage is mg. e) Yes. The value of kg represents a child with a mass of kg. 1. a) The following five combinations of quarters and dimes each equal $.: quarters and dimes, quarters and dimes, 1 quarters and dimes, 1 quarters and dimes, and quarters and dimes. Number of Quarters, q Number of Dimes, d c) d 1 1 $. in Quarters and Dimes 1 1 q 13. a) Depth (m) Pressure (atm) 1 3 Pressure (atm) p Depth of Water and Atmospheric Pressure 7d Depth (m) Yes, the relation is linear because the points appear to lie in a straight line. d) largest possible number of dimes: ( quarters); largest possible number of quarters: ( dimes) Label the horizontal ais d for the depth and label the vertical ais p for pressure. c) Divers tend to become dizz at depths greater than m. 1. a) Figure Number Number of Small Squares s = 3n + 1 where n is the figure number and s is the number of squares. c) Figure : 1 squares d) squares 1. a) Number of Squares, n 1 3 Perimeter, P (cm) P Perimeter of 1 Squares 1 3 n Number of Squares Perimeter (cm) c) The perimeter increases b cm for each additional small square that is added to the pattern. d) P = n + e) Perimeter of squares: cm Answers MHR 3
4 1. a) Height (m) 1 7 Temperature (ºC) Temperature ( C) t Height and Temperature Height (m) h c) Yes, the relationship is linear. There is a common difference between the consecutive values for both variables. d) Height climbed if the temperature is 13 C: m 17. a) There is a common difference between the consecutive values for both variables. The prediction is that the graph will be linear. Distance (m) d Distance Travelled b Skdiver 1 1 t Time (s) Yes, the prediction was correct. c) The parachutist descends about m per second after the parachute opens. 1. a) Number of People, n Rental Cost, C ($) Rental Cost ($) C Rental Cost of Banquet Hall n Number of People c) C = n 19. a) Number of People, n Rental Cost ($) Rental Cost, C ($) 1 C Rental Cost of Banquet Hall n Number of People The points on the graph are moved up an equal distance from each of the points on the graph in #1. c) C = n + ; The variable n represents the number of people and the variable C represents the cost of renting the banquet hall.. a) Number of Additional Das 1 3 Rental Cost ($) C = 3n + c) $39; A better option would be to bu the snowboard equipment for $. 9.3 Linear Relationships, pages a) Time, t (min) 1 3 Cost, C ( ) C Cost of Long Distance Phone Plan Total Cost ( ) t Time (min) d Number of Dogs c) No. An part minutes will be rounded up to the nearest minute.. a) Number of Dogs, d 1 3 Wage, W ($) 1 W Wages Earned for Dog Walking Wage ($) 7. a) = 7 = -3 c) = d) =. a) = = - c) = 3 d) = 9. a) c) c) No, it is not reasonable to have points between the ones on the graph. The number of dogs walked will be a whole number. 1 MHR Answers
5 d) a) Answers ma var. Eample: c) d) a) = = 1. a) (, ) = -1 c) = a) Yes, it is reasonable to assume that there are points between the values given. Without an restrictions in the question, numbers with decimal values can be evaluated in linear relations. 1. a) Since the -values are consecutive integers, consecutive -values will have the same difference in the linear relation. The difference for this linear relation is two a) Mass of Purchase (g) Cost ( ) Answers ma var. Eample: The most logical value is g because the common 1 difference between consecutive values of mass is g. c) C Total Cost ( ) 1 m Mass of Purchase (g) 1. a) $1 $1 c) $ 17. a) Number of Pairs of Gloves, g 1 3 Total Cost, C ($) Total Cost ($) C g Pairs of Gloves 1. Amount Spent ($) Points Received c) Yes, the points appear to lie in a straight line on the graph. d) No. The values for g must be whole numbers because the represent the number of pairs of gloves. e) This number could represent the cost of shipping or administrative charges. c) $ 19. a) The difference between consecutive masses is 11 g ecept for the metal with a volume of 1 cm 3, which has a mass of 1 g in the given table. The correct mass is 13 g. m c) A straight line could 1 be drawn through the first four points and 1 etended to show that the correct mass associated with a volume of 1 cm 3 is 13 g. Mass (g) 1 V Volume (cm 3 ). a) $.; $7. Distance Travelled, d (m) 1 Tai Cost, C ( ) Answers MHR
6 c) Tai Cost ( ) C d) Yes, the relation is linear. The increase in cost for each m travelled after the first segment is constant. 1 d Distance (m) 1. a) The value of d is The -value is four more than the value of t. less than the -value. d t. a) Yes, the relation is linear. The difference between consecutive -values and the consecutive -values is constant. Chapter Review, pages epression. linear relation 3. formula. equation. variable. table of values 7. a) Time (h) Pa ($) Yes, the graph represents a linear relation. The points on the graph lie in a straight line and rate of pa is $9 for each hour worked. c) Yes, it is possible that Klaus works for part of an hour and is paid a portion of his hourl salar.. a) The graph shows the amount of mone earned at a grade car wash based on the number of cars washed. For ever car that is washed $ is collected. The points appear to lie in a straight line. c) cost of one car wash: $ d) Number of Cars Income ($) e) $ a) The points lie in a straight line. The -values range between and. The -values range between and c) = when = d) = 17 when =. a) B The difference in consecutive A-values is one. The difference in consecutive 1 B-values is four. c) In words: 1 For ever increase of one unit in the A-value there is a corresponding increase of four units in the B-value. As an epression: B = A + 1 A 11. a) Table 1: the m-variable increases b one unit; Table : the p-variable increases b two units; Table 3: the d-variable increases b one unit Table 1: the n-variable increases b two units; Table : the q-variable decreases b four units; Table 3: the C-variable increases alternatel b 3 units then b units. c) Table 1 Table n n m Table 3 n 1 m m 1. a) Number of Copies, n 1 3 Total Cost, C ($) 3 Yes, this is a linear relation for one or more copies. The consecutive values for both variables for one or more copies have a common difference. c) For one or more copies: C = n + 1 where C is the cost in dollars and n is the number of colour copies. d) $ a) The variable t represents the time the cclist travels in hours. The variable d represents the distance the cclist travels in kilometres. 1 represents the constant speed of 1 km/h travelled b the cclist. MHR Answers
7 c) Time (h) Distance (km) d) d t Time (h) e) Yes, it is reasonable to have points between the ones in the graph. The cclist can travel for times that are not whole numbers of hours. f) 1 km 1. Equation A: = Distance (km) 1 = -9 when = -7 Equation B: = = -3 when = -7 Equation C: = Distance Travelled b a Cclist = 17, when = a) Both graphs are linear relations and both graphs cross the -ais at (, 1). The points on the graph lie on straight lines that slant in different directions. The graph of = + 1 increases from left to right and the graph of = decreases from left to right. Chapter.1 Modelling and Solving One-Step Equations: a = b, = b, pages a. a) 3t = - - w = - c) = - d) - c =. a) - = m 3 -n = - c) -f = -1 d) p = a) j = - n = - c) k = -1 d) =. a) r = - p = c) t = - d) d = - 9. a) k = - t = -1. a) b = - = a) -3 - c) -9 d) 1. a) - c) d) a) s = -3 j = 13 c) j = - d) t = 1. a) f = -7 q = -9 c) h = 1 d) k = - 1. a) - 3 c) -1 d) a) 11-1 c) d) a) t = -3 h = -1 c) s = - d) = 7 1. a) = - k = c) b = - d) r = a) Yes. Yes. c) Yes. d) No.. a) No. No. c) No. d) Yes. 1. a) m = - m = -1 C. a) 13n = 31; n is the number of litres. L 3. a) p = ; p is the height of the pgm owl in centimetres. 17 cm. a) m = 1 m = 1 cm. Let be the percent of right-handed bos. 1 7 = 11 = 77 Therefore, 77% of bos are right-handed.. a) $1 $7 7. 1h = ; h = cm. 9 min 9. a) 99 m in fresh water; m in salt water Sandra. Modelling and Solving Two-Step Equations: a + b = c, pages a) = 1 g =. a) h = z =. a) = 3 t =-7. a) d = 3 z = 7. a) Add to both sides of the equation. Subtract 3 from both sides of the equation. c) Add to both sides of the equation. d) Add 1 to both sides of the equation.. a) Divide both sides of the equation b. Divide both sides of the equation b -3. c) Divide both sides of the equation b. d) Divide both sides of the equation b -9. Answers MHR 7
8 9. a) r = m = 1 c) g = d) f = 1.7. a) k = -7 n = - c) = -3 d) n =. 11. a) No. No. c) Yes. d) No. 1. a) 3s represents triple his current savings. B subtracting from 3s, Matt will have the amount he needs: $7. savings: $ c) Answers ma var. Eample: Algebra tiles could be used to determine Matt s savings etras 1. a) s + = 1 Percent of students who choose skiing: 3% 1. m - = 99; Jennifer has $17. in her account now. 1. w - 3 = 9; width of the classroom: m 17. a) The value of represents the number of metres that the eagle drops ever second. 11. s 1. m m. There are three possible values for m: 7,, and km/h.3 Modelling and Solving Two-Step Equations: a + b = c, pages a) = 1 b = -1. a) z = 1 d = -3. a) g = -1 n = - 7. a) f = n =. a) Subtract 1 from both sides of the equation. Add to both sides of the equation. c) Subtract from both sides of the equation. d) Subtract 11 from both sides of the equation. 9. a) Multipl both sides of the equation b -. Multipl both sides of the equation b 13. c) Multipl both sides of the equation b 1. d) Multipl both sides of the equation b 3.. a) m = c = 3 c) b = - d) n = a) j = -3 r = c) = -1 d) n = a) No. Yes. c) No. d) Yes. 13. a) Brian s age: ears old Answers ma var. Eample: Natasha is not getting enough sleep according to the formula. She needs.7 h of sleep. 1. a - = ; Cost of an adult ticket: $1 1. a) - C 9 m 1. m - 1 = ; 1% of students prefer math. 17. a) Calories 31 is greater than the recommended amount of Calories, which is 7. c) = 7. Modelling and Solving Two-Step Equations: a( + = c, pages a) = s =. a) = = -7. a) t = j = 7. a) p = 1 n =. a) r = -9 m = c) g = - d) f = a) k = - n = c) = 3 d) w = -11. a) No. No. c) Yes. d) No. 11. a) 3(s + 7) = 13 Length of each side of old fence: cm 1. a) 17 7 kj - C 13. a) ( + ) = 9 Maimum dimensions of the square picture: cm b cm 1. Rental time: h 1. Parking time: 3 h 1. a) Andrew s current speed: 1 km/h 9 km/h c) Answers ma var. Eample: Andrew would not be able to get to his grandfather s apartment in two hours if he was riding his biccle through a cit with several traffic lights and several steep hills. It would also depend on the tpes of roads and the terrain that he would have to biccle over, and on his athletic abilit. Chapter Review, pages 1 1. variable. equation 3. opposite operations. numerical coefficient. distributive propert. constant 7. linear equation. a) = -3 n = - c) d = d) = a) = r = -3 c) z = - d) t = -3. a) p = -1 n = -33 c) = 3 d) a = Answers ma var. Eample: Two equations which would result in an answer of five are -3p = -1 and =. 1. a) 3c + = ; c = = -1; = 13. a) Yes. Yes. c) Yes. d) No. 1. a) t = - j = - c) p = d) n = a) d - 3 = Zoë has seven DVDs. 1. a) v = - j = a) Subtract 13 from both sides of the equation. Then multipl both sides of the equation b -3. Add 7 to both sides of the equation. Then multipl both sides of the equation b 1. c) Subtract from both sides of the equation. Then multipl both sides of the equation b -. d) Add 1 to both sides of the equation. Then multipl both sides of the equation b a) v = 1 d = 1 c) = - d) n = b - 11 = 3 71; British Columbia had 1 soccer plaers in.. a) r = - w = - 1. a) q = 9 g = -11 c) k = -1 d) = 1. ( + ) = 37; Without the border, the quilt is 7 cm b 7 cm. 3. The sides of the original octagon were 9 cm long. MHR Answers
Chapter Representing Patterns, pages MHR Answers
. a) x -, x - b) Example: The processes are similar in that the like terms were combined. The processes are different in that one involved addition and the other involved subtraction.. Yes. Example: The
More informationLinear Relationships UNIT 3 Warm-Up A. Finding Percents Mentally Find 10% of each of the following numbers. (Move the decimal 1 place to the left.
Linear Relationships UNIT 3 Warm-Up A Find 10% of each of the following numbers. (Move the decimal 1 place to the left.) 1) 600 2) 50 3) 36 4) 574 5) 26.5 6) 900 7) 270 8)13.8 9) 246 10) 0.36 11) Record
More informationName: Period: Date: FOMP 10 Final Review Part 2 v1. Short Answer. Level 1-2 Questions. 1. What expression does the diagram represent?
Period: Date: FOMP 10 Final Review Part 2 v1 Short Answer Level 1-2 Questions 1. What expression does the diagram represent? 2. What is the factored form of the expression 5x 2 45? 3. What value of k makes
More informationSection 8.1 Extra Practice
Name: Section 8. Extra Practice Date:. BLM 8 6.. Solve each equation. Use a number line. a) c x b) 4 4. Solve each equation. Use models of your choice to represent the solutions. a) x 0.6 b) x. Solve each
More informationSection 1. State the equation of the line given the table of values: X Y First Differences What is the y-intercept of y= 2x-5
Section 1 1 What is the -intercept of = 2-5 7 State the equation of the line given the table of values: X Y First Differences -1 7 0 4 1 1 2-2 3-5 2 What do the first differences tell ou about a relation?
More informationEXAMPLE. 6 The answer is 3x x 1 1. Divide. a. A10x x 2 B 4 (1 + 2x) b. A9-6a 2-11aB a 5 3a 1. Step 1 Step 2. Step 3.
-. Plan Lesson Preview Check Skills You ll Need Adding and Subtracting Polnomials Lesson 9-: Eample Eercises 0 Etra Practice, p. 70 Multipling Binomials Lesson 9-: Eamples, Eercises 9 Etra Practice, p.
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Answer: No Correct Answer Was Provided. Provide an appropriate response. ) If a relation eists
More informationpar ( 12). His closest competitor, Ernie Els, finished 3 strokes over par (+3). What was the margin of victory?
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Tiger Woods won the 000 U.S. Open golf tournament with a score of 1 strokes under par
More informationChapter 6 Diagnostic Test
Chapter 6 Diagnostic Test STUDENT BOOK PAGES 310 364 1. Consider the quadratic relation y = x 2 6x + 3. a) Use partial factoring to locate two points with the same y-coordinate on the graph. b) Determine
More informationSolving Problems Involving Cost, Revenue, Profit. Max and Min Problems
Solving Problems Involving Cost, Revenue, Profit The cost function C(x) is the total cost of making x items. If the cost per item is fixed, it is equal to the cost per item (c) times the number of items
More informationGCSE Homework Unit 2 Foundation Tier Exercise Pack New AQA Syllabus
GCSE Homework Unit 2 Foundation Tier Exercise Pack New AQA Syllabus The more negative a number, the smaller it is. The order of operations is Brackets, Indices, Division, Multiplication, Addition and Subtraction.
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) C) 31.
Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the sentence as a mathematical statement. 1) Negative twent-four is equal to negative
More informationArithmetic Revision Sheet Questions 1 and 2 of Paper 1
Arithmetic Revision Sheet Questions and of Paper Basics Factors/ Divisors Numbers that divide evenly into a number. Factors of,,,, 6, Factors of 8,,, 6, 9, 8 Highest Common Factor of and 8 is 6 Multiples
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
INTRODUCTORY ALGEBRA/GRACEY CHAPTER 1-2.3 PRACTICE Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the algebraic expression for the
More informationMathematics General 2
07 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics General General Instructions Reading time 5 minutes Working time hours Write using black pen NESA approved calculators may be used A formulae and data
More informationTRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false.
MATH 143 - COLLEGE ALGEBRA/BUSN - PRACTICE EXAM #1 - FALL 2008 - DR. DAVID BRIDGE TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. Mark the statement as true or false.
More informationUnit 10 Independent Summer Packet
Unit 10 Independent Summer Packet Name For each skill in this packet, there are examples, explanations and definitions to read followed by practice problems for you to complete. Complex Fractions and Unit
More informationDay 3. Other Word Problems. Practice: Direct Variation
Name: Practice: Direct Variation Date: BLM 5.1.1... 1. Find the constant of variation for each direct variation. a) The cost for a long-distance telephone call varies directly with time. A 12-min phone
More informationPART I: NO CALCULATOR (200 points)
Prealgebra Practice Final Math 0 OER (Ch. -) PART I: NO CALCULATOR (00 points) (.). Find all divisors of the following numbers. a) b) 7 c) (.). Find the prime factorization of the following numbers. a)
More informationApplications. 1. Use the table to answer parts (a) (e). Typical Weights for Tiger Cubs
Applications. Use the table to answer parts (a) (e). Tpical Weights for Tiger Cubs Age (weeks) birth 7 9 Epected Bod Weight (kg)........7 7. 7..9 9.7 SOURCE: www.tigerlink.org a. What weight is predicted
More informationACTIVITY: Comparing Types of Growth
6.5 Eponential Growth growth? What are the characteristics of eponential ACTIVITY: Comparing Tpes of Growth Work with a partner. Describe the pattern of growth for each sequence and graph. How man of the
More informationName: Date: Page 1 of 7. What is Slope? There are four types of slope you can encounter. A slope can be positive, negative, zero, or undefined.
Name: Date: Page of 7 What is Slope? What is slope? If ou have ever walked up or down a hill, then ou have alread eperienced a real life eample of slope. Keeping this fact in mind, b definition, the slope
More informationG r a d e 1 1 E s s e n t i a l M a t h e m a t i c s ( 3 0 S ) Final Practice Exam
G r a d e 1 1 E s s e n t i a l M a t h e m a t i c s ( 3 0 S ) Final Practice Exam G r a d e 1 1 E s s e n t i a l M a t h e m a t i c s Final Practice Examination Name: Student Number: For Marker s
More informationGrade 11 Essential Math Practice Exam
Score: /42 Name: Grade 11 Essential Math Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following would not be a correct description
More informationMath 1101 Exam 1 Practice Problems
Math 1101 Eam 1 Practice Problems These problems are not intended to cover all possible test topics. Rather, the should serve as an activit in preparing for our test, but other stud is required to full
More information1 algebraic. expression. at least one operation. Any letter can be used as a variable. 2 + n. combination of numbers and variables
1 algebraic expression at least one operation 2 + n r w q Any letter can be used as a variable. combination of numbers and variables DEFINE: A group of numbers, symbols, and variables that represent an
More informationSolving Linear Equations
1.2 Solving Linear Equations GOAL Connect the solution to a linear equation and the graph of the corresponding relation. YOU WILL NEED grid paper ruler graphing calculator LEARN ABOUT the Math Joe downloads
More informationChapter 6 BLM Answers
Chapter 6 BLM Answers BLM 6 2 Chapter 6 Prerequisite Skills 1. a) 0.50, 50% 0.60, 60% 2.3, 233.3% d) 3, 300% 108 km/h 160 m/km 50 m/min 3. 1.99 m 4. a) Time Worked, t (h) Earnings, E ($) 2 30 4 60 6 90
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Chapter 7 and Practice The actual eam is different SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. The following circle graph displas Chris and Mar Smith's
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
12B Practice for the Final Eam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. If = -4 and = -2, evaluate the epression. 12-6 1) + 2 A) - 9 B) 0 C)
More informationREVIEW PROBLEMS FOR NUMERICAL SKILLS ASSESSMENT TEST-Rev 1 (Note: No calculators are allowed at the time of the test.)
- - REVIEW PROBLEMS FOR NUMERICAL SKILLS ASSESSMENT TEST-Rev (Note: No calculators are allowed at the time of the test.). 9 + 67 =. 97 7 =. 7 X 6 =. 6 7 =. = 6. 6 7 7. Anne saves $7 every month out of
More informationPre-Calculus Midterm Exam REVIEW January 2013
Pre-Calculus Midterm Eam REVIEW Januar 0 Name: Date: Teacher: Period: Your midterm eamination will consist of: 0 multiple-choice questions (including true/false & matching) these will be completed on the
More informationInt Math 1 Midterm Review Handout (Modules 1-5)
Int Math 1 Midterm Review Handout (Modules 1-5) 1 Short Answer: (Put answer in box below.) A small hotel with 4 rooms was destroyed in a fire. After the hotel was rebuilt, the owner took out a loan to
More informationNumber & Algebra: Strands 3 & 4
Number & Algebra: Strands 3 & 4 #1 A Relations Approach to Algebra: Linear Functions #2 A Relations Approach to Algebra: Quadratic, Cubic & Exponential Functions #3 Applications of Sequences & Series #4
More information3. Joyce needs to gather data that can be modeled with a linear function. Which situation would give Joyce the data she needs?
Unit 6 Assessment: Linear Models and Tables Assessment 8 th Grade Math 1. Which equation describes the line through points A and B? A. x 3y = -5 B. x + 3y = -5 C. x + 3y = 7 D. 3x + y = 5 2. The table
More informationFirrhill High School. Mathematics Department. Level 5
Firrhill High School Mathematics Department Level 5 Home Exercise 1 - Basic Calculations Int 2 Unit 1 1. Round these numbers to 2 significant figures a) 409000 (b) 837500000 (c) 562 d) 0.00000009 (e)
More informationList the quadrant(s) in which the given point is located. 1) (-10, 0) A) On an axis B) II C) IV D) III
MTH 55 Chapter 2 HW List the quadrant(s) in which the given point is located. 1) (-10, 0) 1) A) On an axis B) II C) IV D) III 2) The first coordinate is positive. 2) A) I, IV B) I, II C) III, IV D) II,
More information1. This question paper consists of 7 questions. Answer all the questions.
CAMI Education (Pty) Ltd Reg. No. 1996/017609/07 CAMI House Fir Drive, Northcliff P.O. Box 1260 CRESTA, 2118 Tel: +27 (11) 476-2020 Fax : 086 601 4400 web: www.camiweb.com e-mail: info@camiweb.com GRADE
More informationCUMULATIVE REVIEW CHAPTERS Simplify: 28. Write as an equivalent fraction with. denominator 48. [Section 3.1]
0- CHAPTERS 0 CUMULATIVE REVIEW. USED CARS The following ad appeared in The Car Trader. (O.B.O. means or best offer. ) If offers of $,70, $,7, $,900, $,0, $,00, $7,99, $,99, and $,9 were received, what
More informationTEST # 1 REVIEW MATH MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
TEST # REVIEW MATH Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Give the domain and range of the relation. ) {(-8, -), (, ), (9, 8), (-, ),
More informationEquations. Krista Hauri I2T2 Project
Applied Linear Equations Krista Hauri I2T2 Project Grade Level: 9 th Intergraded Algebra 1 Time Span : 5 (40 minute) days Tools: Calculator Base Ranger (CBR) at least 4 TI-84 Graphing Calculator for each
More informationThe City School PAF Chapter Prep Section. Mathematics. Class 8. First Term. Workbook for Intervention Classes
The City School PAF Chapter Prep Section Mathematics Class 8 First Term Workbook for Intervention Classes REVISION WORKSHEETS MATH CLASS 8 SIMULTANEOUS LINEAR EQUATIONS Q#1. 1000 tickets were sold. Adult
More informationIB Math Studies Name: page 1 Topic 1 TEST Review Worksheet Numbers and Algebra
IB Math Studies Name: page 1 Show all your work whenever there are formulas and computations involved! 1. A problem has an exact value of x = 0.3479. Write down the exact value of x in the form a 10 k,
More informationPearson Connected Mathematics Grade 7
A Correlation of Pearson Connected Mathematics 2 2012 to the Common Core Georgia Performance s Grade 7 FORMAT FOR CORRELATION TO THE COMMON CORE GEORGIA PERFORMANCE STANDARDS (CCGPS) Subject Area: K-12
More informationLaurie s Notes. Overview of Section 7.6. (1x + 6)(2x + 1)
Laurie s Notes Overview of Section 7.6 Introduction In this lesson, students factor trinomials of the form ax 2 + bx + c. In factoring trinomials, an common factor should be factored out first, leaving
More informationMATH 830/GRACEY EXAM 3 PRACTICE/CHAPTER 4. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MATH 830/GRACEY EXAM 3 PRACTICE/CHAPTER Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the sstem b the addition method. If there is no
More informationWiz. M ath. Slope - intercept Form y = mx + b. Solve and check answers. Practice Problems. 4. y = y = 3x + 7. y = x No. 3.
Slope - intercept Form y = mx + b Determine the equation of a line with y-intercept 7 and slope. Determine the equation of the horizontal line through (, -5). Determine the equation of a line with y-intercept
More information5.2E Lesson: Proportions in Tables and Graphs*
5.2E Lesson: Proportions in Tables and Graphs* Name: Period: 1. Use Graph A below to fill in the table relating calories to snacks. Number Number of Ordered Write a complete sentence describing the meaning
More informationFactor Quadratic Expressions of the Form ax 2 + bx + c. How can you use a model to factor quadratic expressions of the form ax 2 + bx + c?
5.5 Factor Quadratic Expressions of the Form ax 2 + bx + c The Ontario Summer Games are held every two years in even-numbered years to provide sports competition for youth between the ages of 11 and 22.
More information9-9A. Graphing Proportional Relationships. Vocabulary. Activity 1. Lesson
Chapter 9 Lesson 9-9A Graphing Proportional Relationships Vocabular unit rate BIG IDEA The graph of the pairs of positive numbers in a proportional relationship is a ra starting at (, ) and passing through
More informationLesson 4.5 Real-World Problems: Linear Equations
Lesson 4.5 Real-World Problems: Linear Equations Explain the meaning of the slope and y-intercept in real-world problems. Example A telecommunication company charges their customers a fee for phone calls.
More informationG r a d e 1 1 E s s e n t i a l M a t h e m a t i c s ( 3 0 S ) Final Practice Exam Answer Key
G r a d e 1 1 E s s e n t i a l M a t h e m a t i c s ( 3 0 S ) Final Practice Exam Answer Key G r a d e 1 1 E s s e n t i a l M a t h e m a t i c s Final Practice Examination Answer Key Name: Student
More informationName: Period: Distance: Distance: Distance: Distance:
Name: Period: Distance: Distance: Distance: Distance: 1 2 -2 + 2 + (-3) = -3 Shoes & Boots 3 4 1) Write each individual description below as an integer. Model the integer on the number line using an appropriate
More informationASSIGNMENT 3 DYLAN ZWICK S MATH 1010 CLASS
ASSIGNMENT 3 DYLAN ZWICK S MATH 1010 CLASS 1. Section 2.2 2.2.1: Find a number such that the sum of the number and 24 is 68. 2.2.3: You have accepted a job offer at an annual salary of $37,120. This salary
More informationMath 110 Sample Final. 8) x = x 4
Math 0 Sample Final Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve. ) Find the area.. miles.3 miles A) sq mi B). sq mi C). sq mi 0. sq
More informationHURLSTONE AGRICULTURAL HIGH SCHOOL TRIAL HIGHER SCHOOL CERTIFICATE EXAMINATION. General Mathematics
HURLSTONE AGRICULTURAL HIGH SCHOOL 2007 TRIAL HIGHER SCHOOL CERTIFICATE EXAMINATION General Mathematics Examiners: Mr. S. Faulds, Mr. G. Rawson, Mrs. S. Hackett General Instructions Reading Time 5 minutes
More informationMATH Workbook. Copyright: SEMANTICS reproduction of this in any form without express permission is strictly prohibited. 1
MATH Workbook 1 Foreword One of the prime objectives of education is to develop thinking skill in learners. Thinking skills is essential to success in education, career and life in general. Mathematical
More informationGeneral Mathematics 2006 HIGHER SCHOOL CERTIFICATE EXAMINATION. Total marks 100
006 HIGHER SCHOOL CERTIFICATE EXAMINATION General Mathematics General Instructions Reading time 5 minutes Working time hours Write using black or blue pen Calculators may be used A formulae sheet is provided
More informationBARUCH COLLEGE MATH 2003 SPRING 2006 MANUAL FOR THE UNIFORM FINAL EXAMINATION
BARUCH COLLEGE MATH 003 SPRING 006 MANUAL FOR THE UNIFORM FINAL EXAMINATION The final examination for Math 003 will consist of two parts. Part I: Part II: This part will consist of 5 questions similar
More informationMATH SPEAK - TO BE UNDERSTOOD AND MEMORIZED
FOM 11 T6 RATES AS GRAPHS 1 MATH SPEAK - TO BE UNDERSTOOD AND MEMORIZED 1) GRAPH a visual representation of a relationship between two different quantities. 2) SLOPE m a measure of the steepness of a graph
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Elementary and Intermediate Algebra Graphs and Models 5th Edition Bittinger TEST BANK Full download at: https://testbankreal.com/download/elementary-and-intermediate-algebra-graphsand-models-5th-edition-bittinger-test-bank/
More informationMathematics General 2
Student Name: Teacher s Name: KNOX GRAMMAR SCHOOL 06 Trial Higher School Certificate Examination Mathematics General General Instructions Reading time 5 minutes Total Marks - 00 Working time.5 hours Section
More informationMFM 1P. Foundations of Mathematics Grade 9 Applied Mitchell District High School. Unit 2 Proportional Reasoning 9 Video Lessons
MFM 1P Foundations of Mathematics Grade 9 Applied Mitchell District High School Unit 2 Proportional Reasoning 9 Video Lessons Allow no more than 14 class days for this unit! This includes time for review
More informationNumeracy Booklet A guide for pupils, parents and staff
Numeracy Booklet A guide for pupils, parents and staff The aim of this booklet is to ensure that there is a consistent approach throughout the academy and at home on basic mathematical concepts Place Value
More informationIn this section we want to review all that we know about polynomials.
R. Polnomials In this section we want to review all that we know about polnomials. We start with the basic operations on polnomials, that is adding, subtracting, and multipling. Recall, to add subtract
More informationLeith Academy. Numeracy Booklet Pupil Version. A guide for S1 and S2 pupils, parents and staff
Leith Academy Numeracy Booklet Pupil Version A guide for S1 and S2 pupils, parents and staff Introduction What is the purpose of the booklet? This booklet has been produced to give guidance to pupils and
More informationelementary and intermediate Algebra Warm-up Name atfm0303mk2810yes
MATH000 online PLACEMENT TEST 1 QUESTIONS 11-0-13 Fall 013 elementar and intermediate Algebra Warm-up Name atfm0303mkes www.alvarezmathhelp.com website PROGRAMS ALVAREZLAB (SAVE AND EXTRACT TO YOUR COMPUTER)
More informationLesson: Adding Negative Numbers Practice Set: Clarify expressions with parentheses
Lesson: Adding Negative Numbers Practice Set: Clarify expressions with parentheses Which of the following are the same as 3 7? There are 3 correct answers. Check all that are true. 3 + (-7) (3 7) (3) +
More informationFull download all chapters instantly please go to Solutions Manual, Test Bank site: testbanklive.com
Beginning and Intermediate Algebra 5th Edition Tobey Test Bank Full Download: http://testbanklive.com/download/beginning-and-intermediate-algebra-5th-edition-tobey-test-bank/ MULTIPLE CHOICE. Choose the
More informationMATHEMATICS AND STATISTICS 1.1
MATHEMATICS AND STATISTICS. Apply numeric reasoning in solving problems Internally assessed credits Factors, multiples and primes The set of whole numbers is infinite (continues without end). 0,, 2,,,
More informationTest # 1 Review Math MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Test # 1 Review Math 135 Name (Sections 1.3,.,3.7,..1,.3,11.1,11.,11.3,and 11.) _ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor out the greatest
More informationCost (in dollars) 0 (free) Number of magazines purchased
Math 1 Midterm Review Name *****Don t forget to study the other methods for solving systems of equations (substitution and elimination) as well as systems of linear inequalities and line of best fit! Also,
More informationLesson 4: Real World Problems Using Inequalities
Lesson 4: Real World Problems Using Inequalities Key Words in Real World Problems that Involve Inequalities Example 1 Keith must rent a truck for the day to clean up the house and yard. Home Store Plus
More informationSection 4.3 Objectives
CHAPTER ~ Linear Equations in Two Variables Section Equation of a Line Section Objectives Write the equation of a line given its graph Write the equation of a line given its slope and y-intercept Write
More information1 Interest: Investing Money
1 Interest: Investing Money Relating Units of Time 1. Becky has been working at a flower shop for 2.1 yr. a) How long is this in weeks? Round up. 2.1 yr 3 wk/yr is about wk b) How long is this in days?
More informationThe word gives a strong clue to its meaning. Per means out of and Cent means 100 so percentages are numbers out of 100 or 100
Numeracy Introduction to percentages Percentages are commonly used in everyday language to express fractional numbers as whole numbers mostly between zero and one hundred which is the range of numbers
More informationOnly to be used for arranged hours, Will count as two activites. Math 31 Activity # 5 Word Problems
Math 31 Activity # 5 Word Problems Your Name: USING MATH TO SOLVE REAL LIFE PROBLEMS 1. Read the question carefully till you understand it, then assign well- defined variable(s) to the unknown in complete
More information2015 Algebra 1 Semester Exam Review. Write an equation to represent the graph below. Which ray on the graph best represents a slope of 55 mph?
2015 Algebra 1 Semester Exam Review 1. Write an equation to represent the graph below. 2. 2. In the distance formula d = rt, r represents the rate of change, or slope. Which ray on the graph best represents
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
CHAPTER FORM A Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the given ordered pair is a solution of the given equation.
More information5.2 Partial Variation
5.2 Partial Variation Definition: A relationship between two variables in which the dependent variable is the sum of a number and a constant multiple of the independent variable. Notice: If we take the
More information2. a) What year had the biggest difference in ph between spring and fall?
Statistics Review Name: Use the following graph to answer the next 2 questions 1. In what year was ph the lowest? 2. a) What year had the biggest difference in ph between spring and fall? b) What was the
More information2. Does each situation represent direct variation or partial variation? a) Lily is paid $5 per hour for raking leaves.
MPM1D Date: Name: Relating Linear Equations, Graphs and Table of Values 1. Alan works part-time at a gas station. He earns $10/h. His pay varies directly with the time, in hours, he works. a) Choose appropriate
More informationMultiplying and Dividing Rational Expressions
COMMON CORE 4 Locker LESSON 9. Multiplying and Dividing Rational Expressions Name Class Date 9. Multiplying and Dividing Rational Expressions Essential Question: How can you multiply and divide rational
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MGF 1107 Practice Final Dr. Schnackenberg MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the equation. Select integers for x, -3 x 3. 1) y
More informationHonors Midterm Study Guide
Name Date Unit 1: Rational Numbers (No Calculator) Honors Midterm Study Guide Classify each number below. Use a check to indicate if a number is part of a given category. Leave the space blank if it does
More informationWord Expression Algebraic Expression Example. Let z first odd integer Then z 2 second consecutive odd integer z 4 third consecutive odd integer
3.6 Applications REVIEW from Section 1.6 Five Step Word Problem Method 1) Identify a variable. 2) Write an equation. 4) State your answer. 5) Check your answer. Consecutive Integers Word Expression Algebraic
More informationGRAAD 12 NATIONAL SENIOR CERTIFICATE GRADE 12 MLIT.1 MATHEMATICAL LITERACY P1 FEBRUARY/MARCH 2011
GRAAD 12 NATIONAL SENIOR CERTIFICATE GRADE 12 MLIT.1 MATHEMATICAL LITERACY P1 FEBRUARY/MARCH 2011 MARKS: 150 TIME: 3 hours This question paper consists of 12 pages and 3 annexures. MORNING SESSION Mathematical
More information1.3 Models and Applications
Models and Applications Section 6 Notes Page In this section we will look at solving word problems There is a five step strateg for solving word problems: Step : Read the problem carefull Attempt to state
More informationA. Linear B. Quadratic C. Cubic D. Absolute Value E. Exponential F. Inverse G. Square Root
UCS JH Algebra I REVIEW GD #2 1 Which family of function does each graph belong? A. Linear B. Quadratic C. Cubic D. Absolute Value E. Exponential F. Inverse G. Square Root 2 The coach of a basketball team
More informationRatios, Rates, and Conversions. Section 4-1 Part 1
Ratios, Rates, and Conversions Section 4-1 Part 1 Vocabulary Ratio Rate Unit Rate Conversion Factor Unit Analysis Definition Ratio is a comparison of two quantities by division. The ratio of a to b can
More informationChapter 8 Review: Proportions Textbook p Summary: p , p Practice Questions p.473, p
Chapter 8 Review Proportions Tetbook p.449-516 Summary p.471-472, p.513-514 Practice Questions p.473, p.515-516 Key Concepts Unit Rate, Scale Factor, Area, Volume Vocabulary Ratio a comparison of two quantities
More informationNATIONAL SENIOR CERTIFICATE (NSC) GRADE 11 MID-YEAR EXAMINATION MATHEMATICAL LITERACY PAPER 1 (NSC11-02) D A
MATHIG111 NATIONAL SENIOR CERTIFICATE (NSC) GRADE 11 MID-YEAR EXAMINATION MATHEMATICAL LITERACY PAPER 1 (NSC11-02) D10055656-4-A TIME: 09H00 10H30 TOTAL: 75 MARKS DURATION: 1½ HOURS DATE: 10 JUNE 2013
More informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE GRADE 12 MATHEMATICAL LITERACY P2 FEBRUARY/MARCH 2009 MARKS: 150 TIME: 3 hours This question paper consists of 11 pages and 2 annexures. Mathematical Literacy/P2 2 INSTRUCTIONS
More informationClub Standard Deviation: (s) Hailey s Run Time (s) At which location was Hailey s run time better, when compared with the club results?
5.5 Z-Scores GOAL Use z-scores to compare data, make predictions, and solve problems. LEARN ABOUT the Math Hailey and Serge belong to a running club in Vancouver. Part of their training involves a 200
More informationChapter 32 Exercise 32.1
Chapter Exercise. Q.. (i) x + y = x = y = y = x = y = x = (,) (,) x + y = (,) (,) 7 (ii) x + y = x = y = y = x = y = x = (,) (,) x + y = 7 (,) (,) Active Maths Strands Ch Solutions (iii) 7x y = x = y =
More informationName Class Date. Adding and Subtracting Polynomials
8-1 Reteaching Adding and Subtracting Polynomials You can add and subtract polynomials by lining up like terms and then adding or subtracting each part separately. What is the simplified form of (3x 4x
More informationRepresenting Linear Functions. Constant Rate of Change and Direct Variation. Writing Linear Equations
Lesson 7-1 Lesson 7-2 Lesson 7-3 Lesson 7-4 Lesson 7-5 Lesson 7-6 Lesson 7-7 Lesson 7-8 Functions Representing Linear Functions Rate of Change Constant Rate of Change and Direct Variation Slope Slope-Intercept
More informationPre-Algebra Chapter 7 Solving Equations and Inequalities
Pre-Algebra Chapter 7 Solving Equations and Inequalities SOME NUMBERED QUESTIONS HAVE BEEN DELETED OR REMOVED. YOU WILL NOT BE USING A CALCULATOR FOR PART I MULTIPLE-CHOICE QUESTIONS, AND THEREFORE YOU
More informationUnit 1 Maths Methods (CAS) Exam 2013 Thursday June 6th pm
Name: Teacher: Unit 1 Maths Methods (CAS) Exam 2013 Thursday June 6th 1.50-3.20 pm Reading time: 10 Minutes Writing time: 80 Minutes Instruction to candidates: Students are permitted to bring into the
More informationSJAM MPM 1D Unit 5 Day 13
Homework 1. Identify the dependent variable. a) The distance a person walks depends on the time they walk. b) The recipe for 1 muffins requires cups of flour. c) Houses need 1 fire alarm per floor.. Identify
More information