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Equation and Inequality Word Problems
100
v/(-2) = 8
What is -16
100
15 + b = 23
What is 8
100
−9x + 1 = 82
What is -9
100
v/4 − 2 = 3
What is 20
100
Manuel has $50 in his bank account. He is saving $30 per week until he has $320. Which equation could be used to find how many weeks, w, it will take for Manuel to reach his goal?
A. 50 + 30w = 320 B. 50 - 30w = 320
C. (50 + 30)w = 320 D. (50 - 30)w = 320
A
200
−5x = -30
What is 6
200
x − 7 = 13
What is 20
200
25 = −4m + 5
What is -5
200
−6 = n/2 − 10
What is 8
200
Miss Violet is buying granola bars for her students. She already has 16 granola bars in her desk and needs a total of 100 bars. They are sold in packs of 12. Which equation below could she use to find out how many more boxes of granola bars, g, she needs to purchase for her students?
A. 12g + 100 = 16 B. 16g + 100 = 12
C. 12g + 16 = 100 D. 16g + 12 = 100
C
300
−124 = 4k
What is -31
300
m − 9 = −13
What is -4
300
6v + 10 = −14
What is -4
300
v/3 + 9 = 18
What is 27
300
Scott wants to buy a scooter that costs $129. He saves $15 a week. Which expression shows how much he still needs to save after n weeks?
A. (129 + 15)n B. (129 - 15)n
C. 129 + 15n D. 129 - 15n
D
400
m/4 = -13
What is -52
400
n + 16 = 9
What is -7
400
−9x − 13 = −103
What is 10
400
−6 + x/4 = −5
What is 4
400
Evan needs to have no less than $40 at the end of the month. He has $171.50 in his bank account. Which inequality shows how much money, m, he could possibly spend before the end of the month?
A. 171.50 + m ≥ 40 B. 171.50 - m ≥ 40
C. 171.50 - m ≤ 40 D. 171.50 + m ≤ 40
B
500
−17x = −204
What is 12
500
−17 = x − 15
What is -2
500
-19 = 10k − 9
What is -1
500
−1 = x/6 + 5
What is -36
500
Jill can spend at most $50 at a carnival. She spends $19 on food and each ride costs $7.75. Which inequality represents the possible number of rides, r, Jill can go on at the carnival?
A. 19 + 7.75r ≥ 50 B. 50 - 7.75r ≤ 19
C. 50 - 19 ≤ 7.75r D. 19 + 7.75r ≤ 50
D
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