WorksheetsEquations and Inequalities Exam Review
Total questions: 16
Worksheet time: 4hrs 0mins
Name
Class
Date
1.
1. Which situation best represents the inequality shown below?
500 < 800 - 25b
500 < 800 - 25b
a)
Kara had $800 in her bank account. After buying some blouses for $25 each, she had more than $500 left. What is the value for, b, the number of blouses Kara bought?
b)
Tony had 500 boxcars in his collection. After attending the national boxcar races, he bought sets of boxcars that had 25 in each set. What is the value of, b, the number of sets Tony bought so that he has more than 800 boxcars?
c)
Daniel earns $25 an hour washing cars. He had $500 in his account, worked some hours, and then he had more than $800 in his account. What is the number of hours, b, Daniel had to work to have more than $800 in his account?
d)
Colin had 800 minutes to spend studying for his exams. He separated his time out into sessions of 25 minutes. After studying some sessions, Colin had less than 500 minutes left to study. How many study sessions, b, did Colin study so that he has less than 500 minutes left?
2.
2. Solve the following for x and graph the solution on your exam review paper.
-5x + 6 ≥ 41
-5x + 6 ≥ 41
a)
x ≤ 35
b)
x ≤ -7
c)
x ≥ -7
d)
x ≥ -35
3.
3.
a)
A
b)
B
c)
C
d)
D
4.
4. Which equation has x = 8 for a solution?
a)
2x + 3 = 13
b)
3x - 5 = 29
c)
4x + 6 = 38
d)
5x - 8 = 48
5.
5. Solve for the value of g in the following equation and graph your solution on your exam review sheet.
60 - 12.4g = -113.6
60 - 12.4g = -113.6
a)
g = 16
b)
g = 4.3
c)
g = -14
d)
g = 14
6.
6. Solve for the value of g in the following equation and graph your solution on your exam review sheet.
6.2f - 2 ≤ 22.8
6.2f - 2 ≤ 22.8
a)
f ≤ 4
b)
f ≥ 4
c)
f ≤ 3
d)
f ≥ 3
7.
7. Solve for the value of g in the following equation and graph your solution on your exam review sheet.
4x + 25 = 9
4x + 25 = 9
a)
x = 4
b)
x = -4
c)
x = -8
d)
x = 5
8.
8. Nathan works for Apple and gets paid 9.50 an hour. He has already saved $25.00 from doing choirs around the house. Solve the inequality 9.50h + 25 ≥ 196 to determine h, the least number of hours Nathan will need to work in order to save enough money for his new iPhone.
a)
16
b)
18
c)
20
d)
22
9.
9. Which value makes -4x + 8 > 28 a true statement?
a)
x = -5
b)
x = 7
c)
x = -9
d)
x = 5
10.
10. Richard went to the arcade with $32. He played a game 5 times and only had $24.75 left. Using the equation below, solve for x, to find the price of each game.
32 - 5x = 24.75
32 - 5x = 24.75
a)
x = $11.35
b)
x = $1.60
c)
x = $2.40
d)
x = $1.45
11.
11. What is the value of x in the equation modeled?
a)
x = -1
b)
x = 0
c)
x = -8
d)
x = 8
12.
12. Which number line represents the value of x given the equation below
8x + 32 = 200
8x + 32 = 200
a)
A
b)
B
c)
C
d)
D
13.
13. Which situation can be represented by the equation:
200 = 40x + 20
200 = 40x + 20
a)
a) Mitch owed Jason $200. Mitch borrowed $20 more. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?
b)
b) Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?
c)
c) Mitch owed Jason $200. Mitch borrowed $40 more. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?
d)
d) Mitch owed Jason $200. Mitch already paid Jason back $40. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?
14.
14. Dwain wrote the equation 9x + 5 = 50 to solve a problem. Which problems below could Dwain solve with the equation he wrote?
a)
A. Dwain bought 9 candy bars and has a coupon for $5. He spent $50. For what price, x, did he buy each candy bar for?
b)
B. Dwain made a total of $50. He worked for 5 hours and made $9 in tips. What is x, how much he was paid per hour?
c)
C. Dwain spent $50 on 9 bags of chips and a jumbo pack of gum that cost $5. What is x, the cost per bag of chips?
d)
D. Dwain had $9 and made $5 an hour doing chores. He wanted to save $50. How many hours does he need to do chores, x, to save enough money?
15.
15. The Avid team needs to raise enough money to take the 8th graders on a field trip to the Perrot Museum. They need to raise at least $600. How many candy bars will they need to sell, c, if they sell them for $2.50 each and the bus will cost $150? Which inequality can they use to solve for c, the cost per candy bar to pay for the field trip?
a)
2.50c - 150 ≤ 600
b)
2.50c + 150 ≤ 600
c)
2.50c + 150 ≥ 600
d)
2.50c - 150 ≥ 600
16.
16. Melanie wants to renovate her room. She can spend no more than $300. She wants a bed for $150, a new night stand for $30 and new pillows that are $15 each. She has a coupon for $20 off. Which Inequality can she use to solve for x, how many pillows she can buy?
a)
15x + 160 ≤ 300
b)
160 - 15x ≤ 300
c)
15x + 160 ≥ 300
d)
160 - 15x ≥ 300
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