Algebra Review (New Version) Homework Problems
|
|
- Candice Ryan
- 5 years ago
- Views:
Transcription
1 MATH 119 Algebra Review (New Version) Homework Problems The following set is only to review the Algebra needed for this class. It should be familiar to you from previous class such as M110, M111 or others. Please do your best to refresh these materials if you already had it, or to learn it if you have not. Part A: Simplifying Simplify and write your answers with positive eponents: 1. [9(7-4) + 19] - [5 - (7 + )] (0)(10) + 7-4y (19-15) - 7 ( 18 7 y) (-) [6( + 4) - 1] - [5( - 8) + 11] {[8( - ) + 9] - [4( - 7) + ]} ( 6 y )( 4 y ) 7b 4 a ( 6 y )( y ) a b 8 5 a b + 41 Convert to eponential form: t a 1. ( y) 1 / / 5 1 / 7 : b ; ( + y) ; a ; t Convert to radical form: : b 16. ( y) 17. ( + y) ; ( + y) ; ; ( y)
2 Part B: Factoring Factor ( + 10)( - 9) ( - )( + 1) ( 4-5)( 4 - ) (4 + )( - ) ( + 9)( 6) ( + 6)( + 4) ( - 8)( - 4) (y + 9) (y - 9) 9. y - 81 ( + ) ( - ) ( + 8) ( - 8) Part C: Solving Equations: Solve for : 1. 9( + 8) = 0 - ( + 5) -. 6[4(8 - ) - 5(9 + )] 1 = -7[(7 + 4) 4] / = = = = No Solution 4 1/5 page ()
3 Solve by substitution: y = -1 ; and y = 11 ( 1, -5) y = - ; and 6 +7y = (-, -9) 9. y = 16 ; and y + = ( 4, -) Solve: 10. R = + a for t = (A P) /Pr 11. A = P(1 + rt), for r = Ra / ( - R) 1. A = P(1 + rt), for t r = (A P) /Pt Solve for (use the quadratic formula): 1. + = 8 ± = 6 -, -/ = - ± ( + 1) - 7( + ) = = 0 ± 4 ± 7 41 Quadratic Formula: b ± b 4ac = when a + b + c = 0 a page ()
4 Part D: Percentage Applications 1. What percent of 180 is 6? is 4% of what number?. What percent of 76 is 19? is 1% of what number?. What percent of 15 is 0? 8. 7 is 175% of what number? 4. What percent of 00 is 57? 9. What number is 65% of 840? is 0% of what number? 10. What number is 1% of one million? : (85), (.5), (150), (19%), (10,000), (4), (0%), (546), (5%), (4%) 11. What percent of 80 is 100? 14. What is % of 40? 1. What percent of 10 is 05? 15. is what percent of 40? 1. What is 40% of? is % of what number? 17. On a test of 88 items, a student got 76 correct. What percent were correct? 18. One season a basketball player made 6 out of 75 three-point shots. What percent did he make? 19. The sales ta rate in New York City is 8%. How much is charged on a purchase of $48.86? How much is the total cost of the purchase? 0. Due to inflation, the price of an item increased 1 cents. This was an 8% increase. What was the old price? the new price? : (86.6%), (48%), (000), (0.8), (5%), (15%), (050%), (0.8), (4.1, 46.17), (1.5, 1.6) 1. After a 40% price reduction, a shirt is on sale at $19.0. What was the original price (that is, the price before reduction)?. A family spent $4 one month for food. This was 8% of its income. What was its monthly income?. After a 4% price reduction, a blouse is on sale at $9.04. What was the original price? 4. The price of a refrigerator selling at $600 is to be reduced by 0%. What is the sale price? 5. The price of an automobile selling at $6800 will be increased by 4%. What is the new price? 6. An $800 stereo system will be sold at a 5% reduction. What will be the new price? 7. In order to cope with rising costs, an oil producer plans to raise prices by 15%. If a barrel of oil now sells for $8.00, what will be the new price? 8. A boat that originally sold for $600 is now on sale for $540. What is the percentage of discount? : (44), (800), (), (6540), (480), (707), (10%), (600), (.0) page (4)
5 The following sections are part of the course and it should be used as etra eamples Part E: Slope, Equations of a Line and Inequalities (section 1. in the book) Find the slope of the containing the given pair of points: 1. (-6, -4) and (-7, -9) 5. (4.9,7) and (4.7, 7.) /4. (-10, ) and (, 11) -1 Find the slope of the line: 4. 5y - 1 = / = 4-7 undefined = -y 0 7. y - = y = y + 7 = -10 7/5 Find an equation of the line containing the two points: 10. (-1, -1) and (9, 9) y = 5/ (0, -5) and (, 0) y = (-4, -7) and (-, -1) y = General Equation of a straight line: y = m + b ; m is the slope and b is the y-intercept 1. In a certain city, the cost for a tai ride for 0 miles is $ 1. For 0 miles, the cost is $ 18. Assuming the number of miles is, find the linear equation for the cost. 14. The college bookstore sells a tetbook costing $10 for $1.50 and a tetbook costing $1 for $ If the markup policy of the bookstore is linear, write an equation that relates sales price S and cost C. What is the cost of a tetbook that sells for $? 15. The average weekly for durable goods in the United States economy in 1967 was $5 billion. by 198 this average had increased to $70 billion. Use these data to find the linear equation and find the level of average weekly orders in 1987? : (y = t + 5 ; 85), (c = ), (s = 1.0c ; 17.08), (c = ) page (5)
6 Part F: Graphing Review (Only Straight Edge Graphs Accepted, No Freehands) Graph the following linear and non linear equations. After you finish, check your answers by using the program Graphmatica. It is very important that you graph them first manually and then use the program to check y = y = 1. - y = 4 ; and + y = y = 5 ; and - y = 4 5. y = y = 5 - Find the -intercept for (Make y = 0): 7. y = (-4, 0) and (5, 0) 8. y = None 9. y = (-, 0) and (8, 0) A y line 1: -+y = B C D line : +y=6 Figure (1) 10. Using the above figure, and without scaling the graph, the coordinates of points A, B, C, and D: : (1, 0), (6, 0), (0, 6), (, 0), (15/7, 1/7), 11. Match the graphs with the equations: y D a) y = - +4 is best represented by graph:.. b) y = is best represented by graph:.. c) y = +4 is best represented by graph:.. A B d) y = - 4 is best represented by graph:.. C page (6)
Question 3: How do you find the relative extrema of a function?
Question 3: How do you find the relative extrema of a function? The strategy for tracking the sign of the derivative is useful for more than determining where a function is increasing or decreasing. It
More informationMA Lesson 27 Section 4.1
MA 15200 Lesson 27 Section 4.1 We have discussed powers where the eponents are integers or rational numbers. There also eists powers such as 2. You can approimate powers on your calculator using the power
More informationMA Notes, Lesson 19 Textbook (calculus part) Section 2.4 Exponential Functions
MA 590 Notes, Lesson 9 Tetbook (calculus part) Section.4 Eponential Functions In an eponential function, the variable is in the eponent and the base is a positive constant (other than the number ). Eponential
More informationCommon Core Algebra L clone 4 review R Final Exam
1) Which graph represents an exponential function? A) B) 2) Which relation is a function? A) {(12, 13), (14, 19), (11, 17), (14, 17)} B) {(20, -2), (24, 10), (-21, -5), (22, 4)} C) {(34, 8), (32, -3),
More informationf ( x) a, where a 0 and a 1. (Variable is in the exponent. Base is a positive number other than 1.)
MA 590 Notes, Lesson 9 Tetbook (calculus part) Section.4 Eponential Functions In an eponential function, the variable is in the eponent and the base is a positive constant (other than the number ). Eponential
More informationdollars per person; the cost is $45 for each person. dollars per person; the cost is $1 for 225 people.
Name: ate: 1 The table shows the cost of a vacation package for a given number of people. The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for
More informationFinal Project. College Algebra. Upon successful completion of this course, the student will be able to:
COURSE OBJECTIVES Upon successful completion of this course, the student will be able to: 1. Perform operations on algebraic expressions 2. Perform operations on functions expressed in standard function
More informationReview Exercise Set 13. Find the slope and the equation of the line in the following graph. If the slope is undefined, then indicate it as such.
Review Exercise Set 13 Exercise 1: Find the slope and the equation of the line in the following graph. If the slope is undefined, then indicate it as such. Exercise 2: Write a linear function that can
More informationGraphing Equations Chapter Test Review
Graphing Equations Chapter Test Review Part 1: Calculate the slope of the following lines: (Lesson 3) Unit 2: Graphing Equations 2. Find the slope of a line that has a 3. Find the slope of the line that
More informationMathematics Success Grade 8
Mathematics Success Grade 8 T379 [OBJECTIVE] The student will derive the equation of a line and use this form to identify the slope and y-intercept of an equation. [PREREQUISITE SKILLS] Slope [MATERIALS]
More informationBob Brown, CCBC Essex Math 163 College Algebra, Chapter 4 Section 2 1 Exponential Functions
Bob Brown, CCBC Esse Math 163 College Algebra, Chapter 4 Section 2 1 Eponential Functions Motivating Eample Suppose that, on his 18 th birthday, Biff deposits $10,000 into an account that earns 6% annual
More informationCCAC ELEMENTARY ALGEBRA
CCAC ELEMENTARY ALGEBRA Sample Questions TOPICS TO STUDY: Evaluate expressions Add, subtract, multiply, and divide polynomials Add, subtract, multiply, and divide rational expressions Factor two and three
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 2.6 Creating and Graphing Linear Equations in Two Variables
Lesson 2.6 Creating and Graphing Linear Equations in Two Variables Concept: Graphing Linear Equations EQ: How do I create and graph a linear equation in two variables from a word problem? (Standard CED.2)
More informationUse a graphing calculator to approximate all real solutions of the equation. 1) f(x) = x3-3x2-36x A) 36, 3, 108 B) -6, 3, 6 C) -3, 3, 6 D) 3
Assignment 1 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use a graphing calculator to approximate all real solutions of the equation. 1)
More informationEOC Review Days 2 & 3: Linear Basics, Slope, and Intercepts
Name: Date: Period: Algebra 1 Bowling, Cawthon, Fletcher, Skiles EOC Review Days 2 & 3: Linear Basics, Slope, and Intercepts 1. Find the x-intercept and the y-intercept for the function represented in
More informationRate of Change Quiz. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Class: Date: ID: A Multiple Choice Identify the choice that best completes the statement or answers the question.. In a linear equation, the independent variable increases at a constant rate while
More informationRead the following situation to determine whether the inequality correctly models the company s information.
Algebra 1 EOC Review #7 m w2q0y1c7h \KquntBaE qsoohfhthwwabrhei vlxlvcc.e a naslzlu BrniVgwhgtosV er_e\sxeerivdeado. Additional Practice 1) Selected-Response Name Date Period Sandra sells necklaces at
More informationName: Common Core Algebra L R Final Exam 2015 CLONE 3 Teacher:
1) Which graph represents a linear function? 2) Which relation is a function? A) B) A) {(2, 3), (3, 9), (4, 7), (5, 7)} B) {(0, -2), (3, 10), (-2, -4), (3, 4)} C) {(2, 7), (2, -3), (1, 1), (3, -1)} D)
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 informationSection 9.1 Solving Linear Inequalities
Section 9.1 Solving Linear Inequalities We know that a linear equation in x can be expressed as ax + b = 0. A linear inequality in x can be written in one of the following forms: ax + b < 0, ax + b 0,
More informationAlgebra Success. LESSON 14: Discovering y = mx + b
T282 Algebra Success [OBJECTIVE] The student will determine the slope and y-intercept of a line by examining the equation for the line written in slope-intercept form. [MATERIALS] Student pages S7 S Transparencies
More informationTopic #1: Evaluating and Simplifying Algebraic Expressions
John Jay College of Criminal Justice The City University of New York Department of Mathematics and Computer Science MAT 105 - College Algebra Departmental Final Examination Review Topic #1: Evaluating
More informationMath Studio College Algebra
- Studio College Algebra Kansas State University August 31, 2016 Format of a Linear Function Terminology: What are intercepts on the graph of a function? Format of a Linear Function Terminology: What are
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 informationMath Performance Task Teacher Instructions
Math Performance Task Teacher Instructions Stock Market Research Instructions for the Teacher The Stock Market Research performance task centers around the concepts of linear and exponential functions.
More information6.4 Solving Linear Inequalities by Using Addition and Subtraction
6.4 Solving Linear Inequalities by Using Addition and Subtraction Solving EQUATION vs. INEQUALITY EQUATION INEQUALITY To solve an inequality, we USE THE SAME STRATEGY AS FOR SOLVING AN EQUATION: ISOLATE
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Algebra - Final Exam Review Part Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use intercepts and a checkpoint to graph the linear function. )
More informationName Date. Key Math Concepts
2-1 Interpret Scatterplots Key Math Concepts Bivariate data is pairs of numbers, (x,y), that represent variables. Positive correlation: the value of one variable increases as the other increases. Negative
More informationThe Zero Product Law. Standards:
Objective: Students will be able to (SWBAT) use complex numbers in polynomial identities and equations, in order to (IOT) solve quadratic equations with real coefficient that have complex solutions. Standards:
More informationReview for Test 3: Linear Functions
Name: Date: Period: Review for Test 3: Linear Functions Slope Formula: y 2 y 1 x 2 x 1 1. Graph the line that passes through the given points. Then identify the slope, whichever intercept is asked for,
More informationSlope-Intercept Form Practice True False Questions Indicate True or False for the following Statements.
www.ck2.org Slope-Intercept Form Practice True False Questions Indicate True or False for the following Statements.. The slope-intercept form of the linear equation makes it easier to graph because the
More informationMath 116: Business Calculus
Math 116: Business Calculus Instructor: Colin Clark Spring 2017 Exam 1 - Thursday February 9. 1.1 Slopes and Equations of Lines. 1.2 Linear Functions and Applications. 2.1 Properties of Functions. 2.2
More informationAlgebra 1 Predicting Patterns & Examining Experiments
We will explicitly define slope-intercept form. We have already examined slope, y- intercepts, and graphing from tables, now we are putting all of that together. This lesson focuses more upon the notation
More informationMathematics Success Level H
Mathematics Success Level H T473 [OBJECTIVE] The student will graph a line given the slope and y-intercept. [MATERIALS] Student pages S160 S169 Transparencies T484, T486, T488, T490, T492, T494, T496 Wall-size
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 informationMrs Mat. Name: 2. Which is the following equation rewritten in slopeintercept. A) y = x + 1. B) y = 4x + 1. C) y = -4x + 1.
Slope, Intercepts, and Graphing Equations Exam Expressions and Equations 8.EE - Understand the connections between proportional relationships, lines, and linear equations. No Calculator! Make sure all
More informationAlgebra I EOC 10-Day STAAR Review. Hedgehog Learning
Algebra I EOC 10-Day STAAR Review Hedgehog Learning Day 1 Day 2 STAAR Reporting Category Number and Algebraic Methods Readiness Standards 60% - 65% of STAAR A.10(E) - factor, if possible, trinomials with
More information14.1 Fitting Exponential Functions to Data
Name Class Date 14.1 Fitting Eponential Functions to Data Essential Question: What are ways to model data using an eponential function of the form f() = ab? Resource Locker Eplore Identifying Eponential
More informationExtra Practice Chapter 6
Extra Practice Chapter 6 Topics Include: Equation of a Line y = mx + b & Ax + By + C = 0 Graphing from Equations Parallel & Perpendicular Find an Equation given Solving Systems of Equations 6. - Practice:
More informationMix Review» Form A (Master Copy)» Teacher Version. Directions: Please choose the best answer choice for each of the following questions.
Directions: Please choose the best answer choice for each of the following questions. 1. What is the value of 3. Nature's Nursery had maple trees on sale for 15% off the original price of $30.00. When
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 informationName Date
NEW DORP HIGH SCHOOL Deirdre A. DeAngelis, Principal MATHEMATICS DEPARTMENT Li Pan, Assistant Principal Name Date Summer Math Assignment for a Student whose Official Class starts with 7, 8, and 9 Directions:
More informationAlgebra I April 2017 EOC Study Guide Practice Test 1
Name: Algebra I April 2017 EOC Study Guide Practice Test 1 Score: Top 3 Items to Study: 1. 2. 3. 1) The distance a car travels can be found using the formula d = rt, where d is the distance, r is the rate
More informationI(g) = income from selling gearboxes C(g) = cost of purchasing gearboxes The BREAK-EVEN PT is where COST = INCOME or C(g) = I(g).
Page 367 I(g) = income from selling gearboxes C(g) = cost of purchasing gearboxes The BREAK-EVEN PT is where COST = INCOME or C(g) = I(g). PROFIT is when INCOME > COST or I(g) > C(g). I(g) = 8.5g g = the
More informationWeek 19 Algebra 2 Assignment:
Week 9 Algebra Assignment: Day : pp. 66-67 #- odd, omit #, 7 Day : pp. 66-67 #- even, omit #8 Day : pp. 7-7 #- odd Day 4: pp. 7-7 #-4 even Day : pp. 77-79 #- odd, 7 Notes on Assignment: Pages 66-67: General
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 informationIII. Solving Applications: Systems of Two Equations
III. Solving Applications: Systems of Two Equations Problem Solving Strategy Step 1: Familiarize. Step 2: Write system. Step 3: Solve the system. Read & reread problem. Organize info. Make a drawing. Label
More informationCH 39 CREATING THE EQUATION OF A LINE
9 CH 9 CREATING THE EQUATION OF A LINE Introduction S ome chapters back we played around with straight lines. We graphed a few, and we learned how to find their intercepts and slopes. Now we re ready to
More informationEconomics 307: Intermediate Macroeconomic Theory A Brief Mathematical Primer
Economics 07: Intermediate Macroeconomic Theory A Brief Mathematical Primer Calculus: Much of economics is based upon mathematical models that attempt to describe various economic relationships. You have
More informationFinancial Applications Involving Exponential Functions
Section 6.5: Financial Applications Involving Exponential Functions When you invest money, your money earns interest, which means that after a period of time you will have more money than you started with.
More informationMath 111 Midterm II February 20th, 2007
NAME: Student ID #: QUIZ SECTION: Math 111 Midterm II February 0th, 007 Problem 1 15 Problem 14 Problem 3 15 Problem 4 6 Total: 50 Your exam should contain 5 pages in total and 4 problems Please check
More informationAcc. Alg. II W.S. Sec Assign. # 5. Show work to justify all answers!!!!!!!
Acc. Alg. II W.S. Sec. 1.1-1.4 Assign. # 5 Name Show work to justify all answers!!!!!!! 1. Determine p so that the slope of the line containing this pair of points has the given value. 5 ( -2, p), (4,
More informationWEEK 1 REVIEW Lines and Linear Models. A VERTICAL line has NO SLOPE. All other lines have change in y rise y2-
WEEK 1 REVIEW Lines and Linear Models SLOPE A VERTICAL line has NO SLOPE. All other lines have change in y rise y- y1 slope = m = = = change in x run x - x 1 Find the slope of the line passing through
More informationDecimal Multiplication and Division 1) ) ) ) ) 5.4 x ) x 2
Level B2 Review Packet This packet briefly reviews the topics covered on the Level A Math Skills Assessment. If you need additional study resources and/or assistance with any of the topics below, please
More informationStudy Guide - Part 1
Math 116 Spring 2015 Study Guide - Part 1 1. Find the slope of a line that goes through the points (1, 5) and ( 3, 13). The slope is (A) Less than -1 (B) Between -1 and 1 (C) Between 1 and 3 (D) More than
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 informationReview of Beginning Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Review of Beginning Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Classify as an expression or an equation. 1) 2x + 9 1) A) Expression B)
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 information2) Endpoints of a diameter (-1, 6), (9, -2) A) (x - 2)2 + (y - 4)2 = 41 B) (x - 4)2 + (y - 2)2 = 41 C) (x - 4)2 + y2 = 16 D) x2 + (y - 2)2 = 25
Math 101 Final Exam Review Revised FA17 (through section 5.6) The following problems are provided for additional practice in preparation for the Final Exam. You should not, however, rely solely upon these
More informationMath 1 EOC Review Parallel Problems
Math 1 EOC Review Parallel Problems Unit 1 14. A school purchases boxes of t-shirts for a fundraiser. Each box has 120 t-shirts, and the school pays $1500 per box. How much does the school need to charge
More informationPetrochemical Production p (Billions of metric tons)
Off-Line Homework Section 1.1 WebAssign Section 1.1 #13 (ebook 1.1#42) The following table shows the annual petrochemical production p in Mexico by Pemex, Mexico s national oil company, for 2005-2010 (t
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 informationCommon Review of Graphical and Algebraic Methods
Common Review of Graphical and Algebraic Methods The questions in this review are in pairs. An algebraic version followed by a graph version. Each pair has the same answers. However, do them separately
More informationGetting Ready for Algebra 2 - Test 3 Review
Getting Ready for Algebra 2 - Test 3 Review Short Answer 1. Simplify the expression. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. Simplify the product using FOIL. 15. 16. Find the square. 17. Find the product.
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 informationMA Lesson 13 Notes Section 4.1 (calculus part of textbook, page 196) Techniques for Finding Derivatives
Notation for the Derivative: MA 15910 Lesson 13 Notes Section 4.1 (calculus part of tetbook, page 196) Techniques for Finding Derivatives The derivative of a function y f ( ) may be written in any of these
More informationAlgebra I EOC - Review 1 st Semester, (2x + 1) 3
Algebra I EOC - Review 1 st Semester, 2013 Simplify the following. 1. - 2 1 (x 3) + 5 4 (2x + 1) 2. 4 3 (2x + 1) 3 2 (x 1) 3. (6x 4) + 5(2x + 3) 4. -2(3x 1) 4(x + 1) Find the following for each of the
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 informationSection 7C Finding the Equation of a Line
Section 7C Finding the Equation of a Line When we discover a linear relationship between two variables, we often try to discover a formula that relates the two variables and allows us to use one variable
More information(, ) (, ) (, ) TOWING SERVICE. Name Period Date. Equation. Verbal Description
TOWING SERVICE When a tow truck is called, the cost of the service is $10 plus $1 per mile that the car must be towed. Write and graph a linear equation to represent the total cost of the towing service,
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. ) Tiger Woods won the 2000 U.S. Open golf tournament with a score of 2 strokes under par
More information5.5: LINEAR AUTOMOBILE DEPRECIATION OBJECTIVES
Section 5.5: LINEAR AUTOMOBILE DEPRECIATION OBJECTIVES Write, interpret, and graph a straight line depreciation equation. Interpret the graph of a straight line depreciation. Key Terms depreciate appreciate
More informationPiecewise-Defined Functions
The Right Stuff: Appropriate Mathematics for All Students Promoting materials that engage students in meaningful activities, promote the effective use of technology to support the mathematics, further
More informationDecember 7 th December 11 th. Unit 4: Introduction to Functions
Algebra I December 7 th December 11 th Unit 4: Introduction to Functions Jump Start Solve each inequality below. x + 2 (x 2) x + 5 2(x 3) + 2 1 Exponential Growth Example 1 Two equipment rental companies
More information4. a. This table shows two points that are on the same straight line. Complete the table to show three other points on the same line.
Moving Straight Ahead Study Questions 0. Sharon owns a bakery that makes cakes. She must pay a monthly rent for the bakery, and has to pay for ingredients for each cake. In January she made 300 cakes and
More informationChapter 4 Factoring and Quadratic Equations
Chapter 4 Factoring and Quadratic Equations Lesson 1: Factoring by GCF, DOTS, and Case I Lesson : Factoring by Grouping & Case II Lesson 3: Factoring by Sum and Difference of Perfect Cubes Lesson 4: Solving
More informationFinding the Equation from a Slope and y-intercept
Lesson 4.4 Objectives Write linear equations given a slope and y-intercept, a slope and a point, or a graph. Writing Linear Equations Michael turns on the high-temperature oven each morning when he comes
More informationMath Released Item Grade 8. Slope Intercept Form VH049778
Math Released Item 2018 Grade 8 Slope Intercept Form VH049778 Anchor Set A1 A8 With Annotations Prompt Score Description VH049778 Rubric 3 Student response includes the following 3 elements. Computation
More information1.1. Simple Interest. INVESTIGATE the Math
1.1 Simple Interest YOU WILL NEED calculator graph paper straightedge EXPLORE An amount of money was invested. Interpret the graph below to determine a) how much money was invested, b) the value 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 informationPractice Test - Chapter 4
Use the Distributive Property to write each expression as an equivalent algebraic expression. 1. 6(s + 10) 2. 9(a 4) 3. 5(3 b) 4. 11(m + 7) 5. ENTERTAINMENT Suppose you pay $15 per hour to go horseback
More informationWriting Exponential Equations Day 2
Writing Exponential Equations Day 2 MGSE9 12.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational,
More information1. You are given two pairs of coordinates that have a linear relationship. The two pairs of coordinates are (x, y) = (30, 70) and (20, 50).
Economics 102 Fall 2017 Answers to Homework #1 Due 9/26/2017 Directions: The homework will be collected in a box before the lecture. Please place your name, TA name and section number on top of the homework
More informationMAT Pre-Calculus Class Worksheet - Word Problems Chapter 1
MAT 111 - Pre-Calculus Name Class Worksheet - Word Problems Chapter 1 1. The cost of a Frigbox refrigerator is $950, and it depreciates $50 each year. The cost of a new Arctic Air refrigerator is $1200,
More informationUnit 3: Writing Equations Chapter Review
Unit 3: Writing Equations Chapter Review Part 1: Writing Equations in Slope Intercept Form. (Lesson 1) 1. Write an equation that represents the line on the graph. 2. Write an equation that has a slope
More informationModeling Relationships. 2. What is a linear function? How can you determine if a function is linear or not?
Modeling Relationships 1. What is a function? 2. What is a linear function? How can you determine if a function is linear or not? 3. How can you determine the rate of change given the equation of a linear
More informationSPIRIT 2.0 Lesson: Am I Straight?
SPIRIT 2.0 Lesson: Am I Straight? ===============================Lesson Header ============================== Lesson Title: Am I Straight? Draft Date: July 21, 2008 1st Author (Writer): Neil Hammond 2nd
More informationChap3a Introduction to Exponential Functions. Y = 2x + 4 Linear Increasing Slope = 2 y-intercept = (0,4) f(x) = 3(2) x
Name Date HW Packet Lesson 3 Introduction to Exponential Functions HW Problem 1 In this problem, we look at the characteristics of Linear and Exponential Functions. Complete the table below. Function If
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 informationEconomics 101 Fall 2018 Answers to Homework #1 Due Thursday, September 27, Directions:
Economics 101 Fall 2018 Answers to Homework #1 Due Thursday, September 27, 2018 Directions: The homework will be collected in a box labeled with your TA s name before the lecture. Please place your name,
More informationLesson Master 7-1B VOCABULARY. USES Objective D. Questions on SPUR Objectives See pages for objectives.
Back to Lesson 7-1 7-1B VOCABULARY 1. Arturo deposits $3,000 into a savings account. At the end of the year, the bank pays him 4% interest, which amounts to $120. The total amount of money in his account
More informationCHAPTER 6. Exponential Functions
CHAPTER 6 Eponential Functions 6.1 EXPLORING THE CHARACTERISTICS OF EXPONENTIAL FUNCTIONS Chapter 6 EXPONENTIAL FUNCTIONS An eponential function is a function that has an in the eponent. Standard form:
More informationSimplify each expression:
Warm Up Simplify each epression: 1. rs 3 (r 3 4rs r s 3 ) 4. n 1 n. 7a 3 b c 5 45a 4 c 3 5. n + n 3. 3a 3 3a 5 6. 40 3 y 4 5 5 y 9 Chapter 5 Eponents and Logarithms 5.1 Growth & Decay: Integral Eponents
More informationChapter 1 Review Solve these equations. Solve the linear inequalities and graph the solutions on a real number line. 1. 5(x 1) + 3 = 4x 7 12.
09A_MacArthur_Ch._Review.qxd //0 : PM Page Chapter Review. Solve these equations.. (x ) + = 4x 7 +. x 6 =. 4.. 6. 7. 8. x 9 x 4 + = + 4 x 4 + = x x + = 0 + x = x + 6 x + x = 9 8 + + 4 = x x 9. Twenty more
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 informationCH 3 P4 as of ink
1 2 3 4 5 Ron has a player s card for the arcade at the mall. His player s card keeps track of the number of credits he earns as he wins games. Each winning game earns the same number of credits, and those
More informationPre-Algebra, Unit 7: Percents Notes
Pre-Algebra, Unit 7: Percents Notes Percents are special fractions whose denominators are 100. The number in front of the percent symbol (%) is the numerator. The denominator is not written, but understood
More informationName: Date: Period: Activity 4.3.1: What is Slope?
Name: Date: Period: Activity 4.3.: What is Slope? What is slope? If you have ever walked up or down a hill, then you have already experienced a real life example of slope. Keeping this fact in mind, by
More informationEXAMPLE 2 COMMON CORE
REFLECT. Why can it be helpful to solve a linear equation for y? Graphing a Linear Function Using the Slope and y-intercept You can graph the linear function f() = m + b using only the slope m and y-intercept
More information