Name Date Class
Inequalities
Module Quiz: B
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Name Date Class
1. What is a value of y that satisfies the inequality below?
A 42 C 38
B 39 D 36
2. Which of the following is a solution to the inequality below?
A -3 C 3
B 2 D 5
3. Parvinder wants to save $500 for a trip. Which inequality shows the least amount she must save each month for 6 months to accomplish this?
A C
B 6x 500 D
4. TJ earns a 20% commission on all sales plus a base salary of $40,000. His total income last year was more than $70,000. Which inequality can be used to calculate the minimum number of TJ’s sales?
A 40,000 + 0.2x 70,000
B 40,000 - 0.2x 70,000
C 0.2 + 40,000x 70,000
D 70,000 + 0.2x 40,000
5. Tony wants to buy a ticket for $15.75. He has $9.25. How much must he earn to buy the ticket?
A at least $6.00
B less than $6.00
C at least $6.50
D at least $7.00
6. Peggy wants to run 5 miles in less than 60 minutes. What inequality shows what her rate should be?
A 1 mi 60 min C 1 mi 12 min
B 3 mi 60 min D 2 mi 30 min
7. There are 125 members in the school marching band. The band wants to raise $25,000 for a trip to a national competition. The school agreed to contribute $5,000 towards the trip. Which inequality shows the amount of money that each band member should raise?
A 125x + 25,000 ³ 5,000
B 125x + 5,000 ³ 25,000
C 5,000x + 125 ³ 25,000
D 5,000x + 25,000 125
8. Which of the following is the solution to the inequality ?
A C
B D
9. What is the value of x that satisfies the equation below?
0.3x - 1.2 = -1.8
A - 10 C 2
B - 2 D 4
10. Which of the following values does not satisfy the inequality ?
A -4 C -2
B -3 D -1
11. Michele needs 30 ounces of pecans
to bake some pies. Pecans are sold in
4-ounce packages. Which inequality could be used to find the least number of packages of pecans she has to buy?
A
B
C 4x ³ 30
D x £ 30 - 4
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19
Name Date Class
Inequalities
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20
Name Date Class
12. Solve the inequality. Show your work.
Use the inequality for 13 and 14.
x + 8 ³ 5
13. Solve the inequality. Show your work.
14. Graph the solution on the number line.
Use the inequalities for 15–17.
-3x 9
3x -9
15. Explain the difference between the two inequalities. How does this affect your method of solution?
16. Solve the first inequality and graph its solution on the number line.
17. Solve the second inequality and graph its solution on the number line.
18. Raja solved the inequality . His work is shown below.
Where did Raja make an error in his calculation? Explain.
19. Joaquim earns a salary of $4,000 per month plus a 6% commission on all of his sales. He wants to earn at least $7,000 next month. Write an inequality that shows what his total sales s must be in order for Joaquim to reach his goal.
20. Every month, the bank withdraws $15 from Betsy’s checking account as a service fee. Betsy has budgeted $75 for the next few service fees. For how many months will the service fee be covered? Write and solve an inequality to find the solution. Show your work.
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Name Date Class
Answer Key
Module Quizzes
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232
Name Date Class
MODULE 1 Expressions and Equations
Module Quiz 1: B
1. D
2. C
3. C
4. A
5. A
6. C
7. C
8. A
9. A
10. B
11. C
12. 2.50x = 90; 36
13. 6 games
14. 30 shirts
15.
16. three tenths of a number plus 5
17. 4 dimes = $0.40; some nickels = $0.05x; 0.4 + 0.05x = 2.25
18. x = 40
19. He divided 6 by 3 instead of -3 in Step 3.
20. 2,500 + 0.08s = 5,400
21. 50 - 12.25p
22. 50 + 12.50x = 400; x = 28
Module Quiz 1: D
1. B
2. A
3. C
4. A
5. B
6. A
7. A
8. A
9. C
10. B
11. She can buy 19 shirts.
12. x = -30
13. 4
14. 5x + 200 = 450; x = 50
15. 20 nickels
16. $160
17. In Step 2 she subtracted 4 instead of adding 4.
18. $40,000 + $1,000x = $60,000; x = 20
19. 100 + 20x= 400; x = 15
20. 2.75n = 80; n » 29.09; He can ride the train 29 times.
21.
MODULE 2 Inequalities
Module Quiz 2: B
1. D
2. D
3. C
4. A
5. C
6. C
7. B
8. C
9. B
10. A
11. C
12.
13. x + 8 ³ 5
x + 8 - 8 ³ 5 - 8
x ³ -3
14.
15. To solve first inequality you have to divide by a negative number, so you have to reverse the inequality symbol. To solve second inequality, you divide by a positive number so the inequality symbol stays the same.
16. x < -3
17. x > -3
18. He forgot to reverse the inequality symbol in Step 3.
19. 4,000 + 0.06s ³ 7,000
20. 15x £ 75
x £ 5; Betsy can pay for no more than
5 months of the service fee.
Module Quiz 2: D
1. C
2. A
3. C
4. A
5. A
6. A
7. A
8. A
9. C
10. C
11. 300 - 20x 100
12. x > -15
13. 5
14. I would add 4 to both sides of the inequality to isolate the variable
15. x - 4 £ 3
x - 4 + 4 £ 3 + 4
x £ 7
16.
17. In Step 1, he should have added 4 to each side of the inequality to undo the subtraction of 4. He subtracted 4 instead.
18. multiply; divide; negative; reverse; true
19. The inequality with the £ sign would include 3 as part of the solution. The inequality with the sign would not include 3 as part of the solution.
20.
21.
MODULE 3 Modeling Geometric Figures
Module Quiz 3: B
1. A
2. B
3. D
4. D
5. B
6. B
7. B
8. C
9. A
10. 2,091 m2
11. Students’ rectangles should be 3 units tall and 10 units wide.
12. a unique triangle
13. Students’ triangles should have angles measuring 40°, 50° and 90° and side lengths measuring 2 inches, 1.3 inches and 1.5 inches.
14. circle
15. Yes, if a vertical plane intersected the cylinder, the cross section would be a rectangle.
16. 133°
17. supplementary angles
18. 8 cups
Module Quiz 3: D
1. B
2. C
3. C
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