Lesson: Adding Negative Numbers Practice Set: Clarify expressions with parentheses

Transcription

1 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) + (-7) (3) + (7) 3 (-7) Which of the following are the same as 2 5? There are 3 correct answers. Check all that are true. (2) + (5) (2) + (-5) (2 5) 2 (-5) 2 + (-5) Which of the following are the same as 4 9? There are 3 correct answers. Check all that are true. 4 + (-9) (4 9) (4) + (-9) (4) + (9) 4 (-9)

2 Which of the following are the same as 1 6? There are 3 correct answers. Check all that are true. (1) + (6) (1) + (-6) (1 6) 1 (-6) 1 + (-6) Which of the following are the same as 6 8? There are 3 correct answers. Check all that are true. 6 + (-8) (6 8) (6) + (-8) (6) + (8) 6 (-8) Practice Set: Make a positive sign from two negative signs Simplify: 2 (-5) = Simplify: 3 (-6) = Simplify: 2 (-4) = Simplify: 4 (-3) = Simplify: 1 (-3) =

3 Practice Set: Add negative and positive numbers Part 1 Add: 7 + (-3) = Add: = Add: 4 + (-2) = Add: = Add: = Practice Set: Add negative and positive numbers Part 2 Solve: = -8 5 = 8 + (-5) = = Solve: = = 10 + (-5) = =

4 Solve: = -7 3 = 7 + (-3) = = Solve: = -5 4 = 5 + (-4) = = Solve: = = 12 + (-8) = = Practice Set: Add negative and positive numbers Part 3 Add: (-54) = Add: 85 + (-125) = Add: = Add: =

5 Add: 46 + (-33) = Practice Set: Add two negative numbers Simplify: -7 4 = Simplify: -2 6 = Simplify: -5 3 = Simplify: -5 + (-3) = Simplify: -9 5 = Practice Set: Add additive inverses Evaluate: 9 9 = Evaluate: 4 + (-4) = Evaluate: =

6 Evaluate: -1 (-1) = Evaluate: = Practice Set: Add negative numbers on a number line Which is the correct number line for showing = -1? Which is the correct number line for showing = 4? Which is the correct number line for showing = -2?

7 Which is the correct number line for showing = -2? Which is the correct number line for showing = 3? Practice Set: Subtract negative numbers Subtract: -67 (-47) = Subtract: -15 (-79) = Subtract: -50 (-70) = Subtract: 59 (-10) = Subtract: 82 (-36) = Practice Set: Use negative numbers in word problems Part 1

8 You dug a hole that was 6 feet deep. After taking a short break, you dug down 2 more feet in the same hole. When finished digging, a tractor accidentally filled the hole with 4 feet of dirt. How deep is your hole now? 4 feet below ground 6 feet below ground 4 feet above ground 6 feet above ground You already owed your friend $5. This morning, you borrowed $4 more, and this afternoon you paid back $3. How much money do you owe your friend? Your friend now owes you $4. You owe $12. You owe $6. Your friend now owes you $6. You owe $4. At your construction job, you're standing on a ladder at ground level. First, you climb down 7 feet to see the basement. Then you climb up 22 feet to see the second floor. Later, you climb down 9 feet. How high above or below the ground are you? 7 feet below the ground 6 feet above the ground 9 feet below the ground 6 feet below the ground 9 feet above the ground When you looked at the thermometer last night, the temperature was 0 C. By morning, the temperature rose 10. By afternoon, the temperature had risen another 5. Throughout the night, the temperature dropped 20. What is the temperature now? -5 C +35 C +5 C -15 C +10 C

9 A plane took a Navy Seal to a height of 10,000 feet above sea level. The Navy Seal jumped out of the plane and parachuted into the sea 10,000 feet down. Once in the sea, the Navy Seal dove 100 feet down before rising back up 25 feet. What is the Navy Seal's current depth? 100 feet below sea level 75 feet above sea level 75 feet below sea level 100 feet above sea level 25 feet above sea level Practice Set: Use negative numbers in word problems Part 2 Blaine had $68 in his checking account. He tried buying a coat, but he could not make the purchase because the money in his account was $21 short of the price of the coat. How much did the coat cost? $ John had $20. He earned $5, spent $10, earned $5 again, and then spent $3. After this series of earnings and expenses, how much money did he owe or have left? $ A submarine was situated at 760 feet below sea level. It ascended 320 feet and then descended 80 feet. After these maneuvers, how many feet below sea level was the submarine situated? ft below sea level In Las Vegas, the hottest recorded temperature is 47 C, and the lowest recorded temperature is -13 C. What is the difference between the city's highest and lowest recorded temperatures? C Mt. McKinley, which is the highest elevation in North America, is 20,320 feet above sea level. Death Valley, which is the lowest elevation in North America, is 282 feet below sea level. What is the difference in height between the top of Mt. McKinley and the bottom of death valley? ft Lesson: Multiplying and Dividing Negative Numbers Practice Set: Multiply and divide positive and negative numbers

10 Solve: 15 (-9) x 1 x 6 = Solve: 8 2 = -8 2 = 8 (-2) = -8 2 = Solve: = Solve: 4 4 = -4 4 = 4 (-4) = -4 4 = Solve: 10 5 = = 10 (-5) = = Lesson: Converting Fractions to Decimals Practice Set: Divide whole numbers with a decimal remainder Divide and write the quotient as a decimal. 8) 25

11 Divide and write the quotient as a decimal. 5) 48 Divide and write the quotient as a decimal. 5) 71 Divide and write the quotient as a decimal. 6) 81 Divide and write the quotient as a decimal. 8) 37 Practice Set: Convert fractions into terminating decimals Convert the fraction into a terminating decimal = Convert the fraction into a terminating decimal. 5 8 = Convert the fraction into a terminating decimal. 7 8 = Convert the fraction into a terminating decimal =

12 Convert the fraction into a terminating decimal = Practice Set: Convert fractions into repeating decimals Convert the fraction 7 24 into a repeating decimal none of the above Convert the fraction 1 6 into a repeating decimal none of the above Convert the fraction 5 22 into a repeating decimal none of the above

13 Convert the fraction 5 12 into a repeating decimal none of the above Convert the fraction 4 33 into a repeating decimal none of the above Practice Set: Divide with repeating quotients Identify the correct representation of the repeating decimal for Identify the correct representation of the repeating decimal for

14 Identify the correct representation of the repeating decimal for Identify the correct representation of the repeating decimal for Identify the correct representation of the repeating decimal for Lesson: Problems with Four Operations Practice Set: Solve problems with four operations A submarine situated at sea level went down 800 feet below sea level to Point A, then traveled up to Point B, which was 160 feet below sea level. From sea level, what fraction represents the distance traveled by the submarine from Point A to Point B? of the distance

15 Gina recently got a 10% raise on her salary. If Gina used to make $25 an hour, what is her new salary? $ per hour You want to place a towel bar that is inches wide in the center of a door that is inches long. How far should you place the bar from each edge of the door? in Yesterday morning at 8 a.m. the temperature was -14 F. At noon it was 10 degrees warmer. The temperature increase between noon and and 4 p.m. was twice the temperature increase between 8 a.m. and noon. What was the temperature at 4 p.m? F The Roman Empire began in 27 B.C. and ended in 476 A.D. The Persian Empire lasted approximately 5/11 as long as the Roman Empire. Based on this approximation, if the Persian Empire began in 550 BC, in what year did it end? Round all years to the nearest whole number. B.C. Lesson: Unit Rates with Ratios of Fractions Practice Set: Find unit rates given equivalent ratios of fractions Solve for the unknown to find the unit rate = 1 Solve for the unknown to find the unit rate = 1

16 Solve for the unknown to find the unit rate = 1 Solve for the unknown to find the unit rate = 1 Solve for the unknown to find the unit rate = 1 Practice Set: Calculate unit rates with ratios of fractions word problems A car traveled 3 4 mile in one minute at constant speed. What was the speed of the car in miles per hour? miles per hour (Hint: Convert one minute to a fraction of an hour.) Sheila bought oz of almonds for $3.36. How much did the almonds cost per ounce? $ per ounce Jeremiah works 5 days a week. If he earns $225 a day, how much does he earn per week? $ A plane flew 193 km in 12 minutes at constant speed. What was the speed of the airplane in km per hour? km per hour (Hint: Convert 12 minutes to a fraction of an hour.)

17 If Sally walked 1 2 mile in 1 4 hour, how fast was she walking measured in miles per hour? miles per hour Lesson: Proportional Relationships Practice Set: Identify proportional relationships Which quantity is proportional to 15 3? There are 3 correct answers. Check all that are true Which quantity is proportional to 35 80? There are 2 correct answers. Check all that are true

18 Which quantity is proportional to 16 4? There are 3 correct answers. Check all that are true Which quantity is proportional to 8 12? There are 2 correct answers. Check all that are true Which quantity is proportional to 26 13? There are 3 correct answers. Check all that are true Practice Set: Identify the unit rate in a table

19 Find the unit rate for the quantities in the table above. dollars per hour Find the unit rate for the quantities in the table above. passengers per car Find the unit rate for the quantities in the table above. beats per minute

20 Find the unit rate for the quantities in the table above. jumps per minute Find the unit rate for the quantities in the table above. meters per second Practice Set: Solve for unknowns in tables of proportional relationships Gasoline costs $3 per gallon. Complete the table. Gallons Price

21 Ryan runs at 12 kilometers in an hour. Complete the table. Hours Km Miguel earns $8 per hour. Complete the table. Dollars Hours Audi's average speed is 232 kilometers per hour. Complete the table. Hours Km A car travels at 80 km/h. Complete the table. Km Hours Practice Set: Test for proportional relationships in tables

22 Plane A flew 1,650 miles in 3 hours, Plane B flew 2,300 miles in 4 hours, and Plane C flew 2,800 miles in 5 hours. Which plane flew the fastest? Plane A flew the fastest. Plane B flew the fastest. Plane C flew the fastest. Plane A and Plane B flew the fastest. Plane A and Plane C flew the fastest. Bank A offers an interest rate of $25 in 2 years, Bank B offers an interest rate of $60 in 4 years, and Bank C offers an interest rate of $112 in 8 years. Which bank offers the highest interest rate? Bank A offers the highest interest rate. Bank B offers the highest interest rate. Bank C offers the highest interest rate. Bank A and Bank B offer the highest interest rate. All of the banks offer the same interest rate.

23 Ski Lift A takes skiers 1,200 feet up the mountain in 2 minutes, Ski Lift B takes skiers 1,500 feet up the mountain in 3 minutes, and Ski Lift C takes skiers 1,800 feet up the mountain in minutes. Which ski lift has the fastest rate? Ski Lift A has the fastest rate. Ski Lift B has the fastest rate. Ski Lift C has the fastest rate. Ski Lifts A and B have the fastest rate. All of the ski lifts have the same rate. A 10 ounce can of tomatoes costs $2.50, a 12 ounce can of tomatoes costs $2.70, and a 14 ounce can of tomatoes costs $2.80. Which size can has the best price per ounce? The 10 ounce can has the best price per ounce. The 12 ounce can has the best price per ounce. The 14 ounce can has the best price per ounce. The 10 ounce can and the 14 ounce can have the best price per ounce. The 12 ounce can and the 14 ounce can have the best price per ounce.

24 Jamal rides his bike 60 miles in 3 hours, Matt rides his bike 70 miles in hours, and Greg rides his bike 40 miles in 2 hours. Who rides his bike at the fastest rate? Jamal rides his bike at the fastest rate. Matt rides his bike at the fastest rate. Greg rides his bike at the fastest rate. Jamal and Greg ride their bikes at the fastest rate. Jamal, Matt, and Greg all ride their bikes at the same rate. Practice Set: Identify the unit rate in word problems A car travels 120 miles in 3 hours, then it travels 160 miles in 4 hours. How many miles per hour does the car travel? miles per hour You repay a bank $480 in 3 months for a loan, then you repay the bank $640 in 4 months for the loan. What are your monthly payments to the bank? $ per month A soccer team scores 8 goals in 4 games and 12 goals in the next 6 games. How many goals per game does the soccer team score? goals per game A 14 ounce can of tomatoes costs $2.80, and a 16 ounce can costs $3.20. How many cents per ounce do the cans cost? per ounce

25 Brianna rides her bike 5 miles in 20 minutes, then rides her bike 7 miles in 28 minutes. How many miles per minute does Brianna ride her bike? miles per minute Practice Set: Compare unit rates Frog A eats 8 flies in 4 minutes, while Frog B eats 14 flies in 7 minutes. Which frog eats more flies per minute? Frog A eats more flies per minute. Frog B eats more flies per minute. Each frog eats the same amount of flies per minute. Neither frog eats any flies. Brandon solved 24 math problems in 8 minutes, and Marcus solved 18 math problems in 9 minutes. Who solved more problems per minute? Brandon solved more math problems per minute. Marcus solved more math problems per minute. Brandon and Marcus solved the same number of math problems per minute. There is not enough information to determine the answer. Car A covers 100 miles in 120 minutes, while car B covers 300 miles in 5 hours. How do car A and car B speeds compare? (Hint: 60 minutes = 1 hour) Car A is faster than car B. Car B is faster than car A. Car B is slower than car A. Car A has the same speed as car B.

26 Doctor Jon sees 6 patients in hours. Doctor Carol sees 10 patients in 2 hours. Which doctor sees more patients per hour? Doctor Jon sees more patients per hour. Doctor Carol sees more patients per hour. Each doctor sees the same number of patients per hour. There is not enough information to determine the answer. Ray's Car Wash receives $15 for washing 3 cars. Zippy's Car Wash receives $30 for washing 5 cars. Which car wash charges more money per wash? Ray's Car Wash charges more money per wash. Zippy's Car Wash charges more money per wash. Each car wash charges the same amount of money per wash. There is not enough information to determine the answer. Practice Set: Identify proportional relationships using graphs

27 Which of the following graphs shows a proportional relationship?

28 Which of the following graphs shows a proportional relationship?

29 Which of the following graphs shows a proportional relationship?

30 Which of the following graphs shows a proportional relationship?

31 Which of the following graphs shows a proportional relationship? Practice Set: Determine the unit rate from a graph

32 Find the unit rate from the graph: sales per minute Find the unit rate from the graph: wishes per genie

33 Find the unit rate from the graph: geese per swan Find the unit rate from the graph: gifts per person

34 Find the unit rate from the graph: passengers per car Practice Set: Calculate proportional relationships using graphs One genie grants how many wishes? One genie grants wishes.

35 How many sales take place in 2 minutes? There are sales that take place in 2 minutes. How many dollars for 5 pounds? Five pounds is dollars.

36 How many passengers are in 4 cars? There are passengers in 4 cars. How many gifts are there for 3 guests? There are gifts for 3 guests. Practice Set: Identify the unit rate in an equation

37 What is the constant of proportionality (unit rate) for the following equation: b = 46 1 k There are 2 correct answers. Check all that are true b b k 46 k What is the constant of proportionality (unit rate) for the following equation: y = 12 n 12 y n n 12 y y What is the constant of proportionality (unit rate) for the following equation: t = 3 x 3 t 3 x 3 x t What is the constant of proportionality (unit rate) for the following equation: w = 92 j w w j j 92 w 92

38 What is the constant of proportionality (unit rate) for the following equation: f = 56 1 p There are 2 correct answers. Check all that are true. p f p 56 f 56 1 Practice Set: Represent proportional relationships by equations Robert earns $300 each week. What equation shows the relationship between salary per week (s), number of weeks worked (w), and total income (t). tw = 300 t = 300w w = t 300 = w s = 300t Choco Pie costs $12.11 per box. What equation shows the relationship between total cost (t), price per box (p), and boxes purchased (b)? t = 12.11p t = 12.11b p = 12.11b p = 12.11t b = 12.11p

39 Robert earns $300 every week. What equation shows the relationship between salary per week (s), number of weeks worked (w), and total income (t). t = 300w w h t = s s h = t w = h = 300w Alice earns simple interest on a principal of $1,400 at an annual interest rate of 6% for the period of 3 years. What equation shows the relationship between principal amount (p), rate of interest (r), period of investment in years (t), and interest earned (i). i = prt it = pr t = ipr r = ipt p = irt A jet plane is traveling at 840 km/h at 37,000 ft between NY and SF. What equation shows the relationship between total kilometers traveled (m), time spent traveling (t), and the plane's speed (s)? s = 840mt s = 37,000t ,000 = 840ts t = 840m m = 840t Practice Set: Graph proportional relationships

40 Robert earns $300 every week. What graph shows the relationship between number of weeks worked and total salary earned?

41 Alice earns simple interest of $120 at an annual interest rate of 6% for the period of 1 year. What graph shows the relationship between period of investment in years and interest earned?

42 Chicken costs $2.56 per pound at the supermarket. What graph shows the relationship between number of pounds purchased and total cost?

43 Robert traveled 18 miles per hour. What graph shows the relationship between time spent traveling in hours and total miles traveled?

44 A car is traveling at 65 miles per hour on the interstate. Which graph shows the relationship between the time spent traveling in hours and the total number of miles traveled? Lesson: Multi-step Ratio problems

45 Practice Set: Cross multiply with fractional ratios Solve for x. x = Solve for x. x = Solve for x. x = Solve for x. x = Solve for x. x = Practice Set: Apply proportional relationships to solve multistep ratio word problems

46 If you can buy 1 2 gallon of milk for 3 dollars, how much can you purchase for 5 dollars? Write your answer as a fraction of a gallon. gallons A car can move 45 yards in 5 4 seconds. How long will it take a car at the same speed to move 80 yards? Write your answer as a fraction of a second. seconds An airplane can fly 50 yards in 3 2 second. How long will it take an airplane at the same speed to fly 20 yards? Write your answer as a fraction of a second. seconds If you can buy 1 4 of a pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction of a pizza. pizzas There are 12 grams of sugar in 1 3 of a piece of candy. How much sugar is in 3 4 of a piece of candy? grams Lesson: Percentages Practice Set: Find Percent Error John predicts the basketball team will score 68 points. If the basketball team actually scores 49 points, what is John's percent error? Round your answer to the nearest tenth of a percent. % Charles predicts he will get 97 points on the test at the end of the week. If Charles gets 87 points on the test, what is Charles' percent error? Round your answer to the nearest tenth of a percent. %

47 Zooey predicts the movie will be 90 minutes long. If the movie actually is 102 minutes long, what is Zooey's percent error? Round your answer to the nearest tenth of a percent. % Carrie predicts she will collect 50 cans for the food drive. If Carrie actually collects 70 cans, what is Carrie's percent error? Round your answer to the nearest tenth of a percent. % Neil predicts the planet Saturn has 78 moons. If Saturn actually has 63 moons, what is Neil's percent error? Round your answer to the nearest tenth of a percent. % Practice Set: Solve percent increase and decrease equations If 30 is increased by 60%, what is the new amount? If 40 is increased by 70%, what is the new amount? If 70 is increased by 30%, what is the new amount? If 80 is decreased by 50%, what is the new amount? If 40 is increased by 30%, what is the new amount? Practice Set: Determine tax or simple interest

48 A bank offers a 4% annual interest rate for a savings account. Juan puts $5,000 into an account to save for college. How much will be in the account after a year? $ A bank offers a 6% annual interest rate for a savings account. Marcus puts $8,000 into an account to save for college. How much will be in the account after a year? $ A hardware store is selling a wrench for $ If there is a sales tax of 8 percent, what is the actual cost of the wrench? $ A bank offers a 2.5% annual interest rate for a savings account. Suzy puts $1,000 into an account to save for college. How much will be in the account after a year? $ An electronics store is selling a pair of headphones for $ If there is a 7% sales tax, what is the actual cost of the headphones? $ Practice Set: Determine resultant price after markup or markdown A new basketball costs $25.00 at the sporting goods store. If the store is having a going-out-of-business sale and everything is 60% off, what is the actual cost of the basketball? $ A furniture store is having a sale on couches. If a couch that originally costs $3400 is on sale for 15% off, what is the actual cost of the couch? $

49 The price of orange juice is believed to increase by 14% over the next year. If a gallon of orange juice costs $3.00 now, what will the price be in a year, after the increase? $ A book store is having a clearance sale on cooking books. If all cooking books are 50% off, what will the final cost be of a book that is originally $18.00? $ Gas prices in Cook county are at $3.30 per gallon. If a market scientist predicts a 20% increase in the price of gas in the coming month, what will the price of gas be? $ Practice Set: Solve for unknown original amount before percent increase or decrease equations A new television is on sale for $680.00, which is 20% off of its original price. What was the original price of the television? $ A baseball glove is on sale for $34.00, which is 15% off of its original price. What was the original price of the baseball glove? $ In response to very high demand, a basketball jersey has been marked up by 25% and is now selling for $ How much was the jersey before the mark-up? $ At a coin collector's shop, a rare US coin was recently marked up 50% and is now selling for $ How much was the coin before the mark-up? $

50 An art gallery is increasing the asking price of its sculptures by 30%. A sculpture now costs $ How much was the sculpture before the increase? $ Practice Set: Solve Multi-step percentage word problems A university has raised $8,000 for a new scholarship fund. A university trustee offers to match the donation up to 60% if the university can raise $1,500 more for the fund. If the university is able to raise the extra amount, how much money will be in the fund after the trustee's donation? $ A fountain originally costs $100, but it is on sale for 35% off. If a customer buying the fountain has a coupon for $12.00 off of any purchase, what will his final price be on the fountain? $ A TV at an electronics store originally costs $600, but it is on sale for 30% off. If a customer buying the TV has a coupon for $35.00 off of any purchase, what will her final price be on the TV? $ A band that will be the opening act for a concert charges a $ flat fee as well as 16% of all profits from ticket sales. If the band earns $1,200, how much was made in total ticket sales for the show? $ A snowboard originally costs $120, but it is on sale for 45% off. If a customer buying the snowboard has a coupon for $15.00 off of any purchase, what will his final price be on the snowboard? $ Practice Set: Solve compound percent problems A student is raising money for a homeless shelter. A local business agrees to match and donate an additional 20% of what the student raises, while a local politician also agrees to match 10% of what the student raises. If the student raises $600.00, how much will be donated? $

51 An athlete is making an appearance and signing autographs at a new sporting goods store. He agrees to give 20% of all profits to youth sports programs and 5% of his profit to his manager. If he makes $1, selling autographs and merchandise, how much profit does he take home? $ An author is having a book signing at a store. She agrees to give 30% of all profits to literacy programs and 25% of her profit to her manager. If she makes $750.00, how much profit does she take home? $ A band is receiving $ for playing at a festival. Their manager takes 15% of all profit for each show, and the band pays their sound technician 10% of all profit. How much money is left for the band to split? $ A student is raising money for a local food pantry. A local business agrees to match and donate an additional 20% of what the student raises, while the principal of the student's school also agrees to match 5% of what the student raises. If the student raises $240.00, how much will the food pantry receive? $

52 Correct Answers Lesson: Adding Negative Numbers Practice Set: Clarify expressions with parentheses MC1 MC2 MC3 MC2 MC3 MC5 MC1 MC2 MC3 MC2 MC3 MC5 MC1 MC2 MC3 Practice Set: Make a positive sign from two negative signs Practice Set: Add negative and positive numbers Part Practice Set: Add negative and positive numbers Part

53 Practice Set: Add negative and positive numbers Part Practice Set: Add two negative numbers Practice Set: Add additive inverses Practice Set: Add negative numbers on a number line MC2 MC1 MC2 MC1

54 MC1 Practice Set: Subtract negative numbers Practice Set: Use negative numbers in word problems Part 1 MC1 MC3 MC2 MC1 MC3 Practice Set: Use negative numbers in word problems Part Lesson: Multiplying and Dividing Negative Numbers Practice Set: Multiply and divide positive and negative numbers

55 Lesson: Converting Fractions to Decimals Practice Set: Divide whole numbers with a decimal remainder Practice Set: Convert fractions into terminating decimals Practice Set: Convert fractions into repeating decimals MC1 MC4 MC4 MC3 MC3 Practice Set: Divide with repeating quotients MC1 MC1 MC3 MC1

56 MC1 Lesson: Problems with Four Operations Practice Set: Solve problems with four operations Lesson: Unit Rates with Ratios of Fractions Practice Set: Find unit rates given equivalent ratios of fractions Practice Set: Calculate unit rates with ratios of fractions word problems Lesson: Proportional Relationships Practice Set: Identify proportional relationships MC1 MC2 MC3 MC1 MC2

57 MC2 MC3 MC4 MC1 MC2 MC1 MC2 MC3 Practice Set: Identify the unit rate in a table Practice Set: Solve for unknowns in tables of proportional relationships Practice Set: Test for proportional relationships in tables MC2 MC2 MC3 MC3 MC5 Practice Set: Identify the unit rate in word problems

58 Practice Set: Compare unit rates MC3 MC1 MC2 MC2 MC2 Practice Set: Identify proportional relationships using graphs MC3 MC1 MC3 MC3 MC4 Practice Set: Determine the unit rate from a graph Practice Set: Calculate proportional relationships using graphs

59 3 Practice Set: Identify the unit rate in an equation MC1 MC4 MC1 MC2 MC4 MC3 MC5 Practice Set: Represent proportional relationships by equations MC2 MC2 MC1 MC1 MC5 Practice Set: Graph proportional relationships MC1 MC1 MC1 MC3 MC1 Lesson: Multi-step Ratio problems Practice Set: Cross multiply with fractional ratios

60 Practice Set: Apply proportional relationships to solve multistep ratio word problems Lesson: Percentages Practice Set: Find Percent Error Practice Set: Solve percent increase and decrease equations Practice Set: Determine tax or simple interest

61 Practice Set: Determine resultant price after markup or markdown Practice Set: Solve for unknown original amount before percent increase or decrease equations Practice Set: Solve Multi-step percentage word problems Practice Set: Solve compound percent problems

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