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# Unit 2 test review

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### Unit 2 test review

1. 1. Name: ___________________________________ Date: ___________________________Mrs. Labuski / Mrs. Portsmore Period __________ Unit 2 Test Review - Equations & InequalitiesPart 1: Multiple Choice: Choose the BEST answer that completes each question below. Put the letterbefore each question on the blank line.(3 points each) 1. Astudent is asked to write an algebraic equation for the following situation: An automobile travels at a speed of 50 miles per hour. How many hours will it take for the automobile to travel 300 miles? Which equation below should the student write? A) 50 + x = 300 B) 300x = 50 C) 50x = 300 D) x = 300 50 2. Which inverse operation should be used to solve the following equation:n + 8 = 20 A) subtraction B)addition C)multiplication D)division 3. Angelo had a bag full of pencils at the start of the school year. After losing 6 pencils and giving 5 away, he has 9 pencils left.Which equation below can be used to figure out how many pencils he had at the start of the school year? A) 5y + 9y = 6 B) y + 5 + 6 = 9 C) y – 6– 5 = 9 D) y + 6 - 5 = 9 4. Which expression below isthree less than a number squared? A) 3 – 2n B)3 – n2 C) n2 + 3 D)n2 – 3 5. Marissa has a bag of candy corn for Halloween. She would like to give an equal amount of candy corn to 10 friends. If each friend receives 12 pieces of candy corn, which equation can be used to figure out the total amount of candy corn in the bag before she gave the pieces away? 12 n A) 10n = 12 B) n – 10 = 12 C) = 10 D) = 12 n 10
2. 2. Refer to the following table for Questions 6-9: Meghan is planning on baking sugar cookies for the upcoming holidays. The table belowshows the amount of tablespoons of sugar needed (x) to make a certain number ofcookies (y). Holiday Sugar Cookies Tablespoons of Sugar (x) Number of Cookies (y) 2 10 3 15 4 20 5 25 6. According to the table, which equation below describes the relationship between tablespoons of sugar (x) and number of cookies (y)? x A) x + 8 = y B) 5x = y C) = y D) 12 + x = y 5 7. Which letter(s) in the table above represents theindependent variable? A) x B) y C) both x and y D) neither x nor y 8. Based on the table, how many cookies would 8 tablespoons of sugar make? A) 30 B) 35 C)40 D) 45 9. Based on the table, how much sugar would be needed to bake 60 cookies? A) 6 tablespoons B) 8 tablespoons C) 10 tablespoons D) 12 tablespoons
3. 3. 10. Which graph represents the statement "he has more than 3 binders"? A) -5 -4 -3 -2 -1 0 1 2 3 4 5 B) -5 -4 -3 -2 -1 0 1 2 3 4 5 C) -5 -4 -3 -2 -1 0 1 2 3 4 5 D) -5 -4 -3 -2 -1 0 1 2 3 4 511. Which inequality does the following graph show? -5 -4 -3 -2 -1 0 1 2 3 4 5 A)n< -2 B)n< -2 C)n> 2 D)n> -212. Which inequality is graphed correctly to show "a number less than four"? A) -5 -4 -3 -2 -1 0 1 2 3 4 5 B) -5 -4 -3 -2 -1 0 1 2 3 4 5 C) -5 -4 -3 -2 -1 0 1 2 3 4 5 D) -5 -4 -3 -2 -1 0 1 2 3 4 5
4. 4. Part 2: Extended Response:You must show all work in this section to get full credit.Algebraic Equations: Solve and check: (6 points each)1) x + 28 = 66 CHECK:2) y – 19 = 50 CHECK:3) 15y = 45 CHECK:4) n =7 CHECK: 6
5. 5. Equations, Tables, and Graphs:A) Read the following word problem and complete the table that follows. (Each blank 1 point each)The Sunshine Taxicab Company charges their passengers \$3 for every mile traveled plus a flat cabfare of \$6. Let x represent the number of miles a passenger travels in the cab. Let y represent thetotal cost of the fare. Write an equation to find the total cost of the fare. y = ________________________Complete the table: Sunshine Taxicab Company- Fare TableMiles traveled in cab EQUATION Total Cost of Fare Ordered Pair (x) 1 2 3 4B) Answer the following questions (3 points each):What letter represents the independent variable? _______________What letter represents the dependent variable? _________________What would be the next ordered pair in sequence for 5 miles traveled? ______________
6. 6. C) Complete the graph below by graphing the ordered pairs from the table on the previous page.Connect your points with a ruler and extend the line to the right beyond your ordered pairs. Be sureto label both axes with “Miles Traveled” and “Total Cost of Fare”. (9 points) SUNSHINE CAB COMPANY- FARES 20 3 19 3 18 3 17 3 16 3 15 3 14 3 13 3 12 3 11 3 10 39 3 8 3 7 3 6 3 5 3 4 3 3 2 3 1 0 6 7 1 2 3 4 5
7. 7. Inequality Equations:Solve the following inequalities using railroad tracks and graph the solution on the number line.There is no need to do a check. (5 points each)1) x + 8 >9 -5 -4 -3 -2 -1 0 1 2 3 4 52) 2y < 4 -5 -4 -3 -2 -1 0 1 2 3 4 5
8. 8. Name: ___________________________________ Date: ___________________________Mrs. Labuski / Mrs. Portsmore Period __________ Unit 2 Test Review - Equations & InequalitiesPart 1: Multiple Choice: Choose the BEST answer that completes each question below. Put the letterbefore each question on the blank line. (3 points each)C 1. Astudent is asked to write an algebraic equation for the following situation: An automobile travels at a speed of 50 miles per hour. How many hours will it take for the automobile to travel 300 miles? Which equation below should the student write? A) 50 + x = 300 B) 300x = 50 C) 50x = 300 D) x = 300 50A 2. Which inverse operation should be used to solve the following equation:n + 8 = 20 A) subtraction B) addition C) multiplication D) divisionC 3. Angelo had a bag full of pencils at the start of the school year. After losing 6 pencils and giving 5 away, he has 9 pencils left.Which equation below can be used to figure out how many pencils he had at the start of the school year? A) 5y + 9y = 6 B) y + 5 + 6 = 9 C) y – 6– 5 = 9 D) y + 6 - 5 = 9D 4. Which expression below isthree less than a number squared? A) 3 – 2n B) 3 – n2 C) n2 + 3 D) n2 – 3D 5. Marissa has a bag of candy corn for Halloween. She would like to give an equal amount of candy corn to 10 friends. If each friend receives 12 pieces of candy corn, which equation can be used to figure out the total amount of candy corn in the bag before she gave the pieces away? 12 n A) 10n = 12 B) n – 10 = 12 C) = 10 D) = 12 n 10
9. 9. Refer to the following table for Questions 6-9: Meghan is planning on baking sugar cookies for the upcoming holidays. The table belowshows the amount of tablespoons of sugar needed (x) to make a certain number ofcookies (y). Holiday Sugar Cookies Tablespoons of Sugar (x) Number of Cookies (y) 2 10 3 15 4 20 5 25B 6. According to the table, which equation below describes the relationship between tablespoons of sugar (x) and number of cookies (y)? x A) x + 8 = y B) 5x = y C) = y D) 12 + x = y 5A 7. Which letter(s) in the table above represents theindependent variable? A) x B) y C) both x and y D) neither x nor yC 8. Based on the table, how many cookies would 8 tablespoons of sugar make? A) 30 B) 35 C) 40 D) 45D 9. Based on the table, how much sugar would be needed to bake 60 cookies? A) 6 tablespoons B) 8 tablespoons C) 10 tablespoons D) 12 tablespoons
10. 10. A 10. Which graph represents the statement "he has more than 3 binders"? A) -5 -4 -3 -2 -1 0 1 2 3 4 5 B) -5 -4 -3 -2 -1 0 1 2 3 4 5 C) -5 -4 -3 -2 -1 0 1 2 3 4 5 D) -5 -4 -3 -2 -1 0 1 2 3 4 5A 11. Which inequality does the following graph show? -5 -4 -3 -2 -1 0 1 2 3 4 5 A) n< -2 B) n< -2 C) n> 2 D) n> -2D 12. Which inequality is graphed correctly to show "a number less than four"? A) -5 -4 -3 -2 -1 0 1 2 3 4 5 B) -5 -4 -3 -2 -1 0 1 2 3 4 5 C) -5 -4 -3 -2 -1 0 1 2 3 4 5 D) -5 -4 -3 -2 -1 0 1 2 3 4 5
11. 11. Part 2: Extended Response:You must show all work in this section to get full credit.You must show all the computations for the check as well!!!Algebraic Equations: Solve and check: (6 points each)1) x + 28 = 66 CHECK: x + 28 = 66 -28 -28 38 +28=66 x = 38 66 = 662) y – 19 = 50 CHECK: y – 19 = 50 +19 +19 69-19 = 50 y = 69 50 = 503) 15y = 45 CHECK: 15y = 45 ÷15 ÷15 15(3) = 45 y=3 45 = 45 n =7 n =74) CHECK: 6 6•6 •6 42 ÷6 = 7 n = 42 7=7
12. 12. Equations, Tables, and Graphs:A) Read the following word problem and complete the table that follows. (Each blank 1 point each)The Sunshine Taxicab Company charges their passengers \$3 for every mile traveled plus a flat cabfare of \$6. Let x represent the number of miles a passenger travels in the cab. Let y represent thetotal cost of the fare. Write an equation to find the total cost of the fare. y = ___3x+6_____________________Complete the table: Sunshine Taxicab Company- Fare TableMiles traveled in cab EQUATION Total Cost of Fare Ordered Pair (x) 3x+6 y (x,y) 1 3(1)+6 9 (1,9) 2 3(2)+6 12 (2,12) 3 3(3)+6 15 (3,15) 4 3(4)+6 18 (4,18)B) Answer the following questions (3 points each):What letter represents the independent variable? ____x___________What letter represents the dependent variable? ______y___________What would be the next ordered pair in sequence for 5 miles traveled? ____(5,21)__________
13. 13. C) Complete the graph below by graphing the ordered pairs from the table on the previous page.Connect your points with a ruler and extend the line to the right beyond your ordered pairs. Be sureto label both axes with “Miles Traveled” and “Total Cost of Fare”. (9 points) SUNSHINE CAB COMPANY- FARES 20 3 19 3 18 3 17 3 16 3 15 3 14 3 13 3 12 3 11 3 10 39 3 8 3 7 3 6 3 5 3 4 3 3 2 3 1 0 6 7 1 2 3 4 5
14. 14. Inequality Equations:Solve the following inequalities using railroad tracks and graph the solution on the number line.There is no need to do a check. (5 points each)1) x+8>9 - 8 -8 x≥ 1 -5 -4 -3 -2 -1 0 1 2 3 4 52) 2y < 4 ÷2 ÷2y< 2 -5 -4 -3 -2 -1 0 1 2 3 4 5