Equation and Inequalities Word Problems
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• Question 1
300 seconds
Q. Jim paid a gym membership fee of \$50, plus \$20 per month.  Jim has paid a total of \$290 to the gym.  Which equation matches this situation?
50 + 20m = 290
20 + 50m = 290
50 + 20 = m
50m - 20 = 290
• Question 2
300 seconds
Q. Scott works on cars. He charges \$35 for each car plus \$7 per hour. Write an equation that represents this scenario if Kylie's car bill was \$63.
7x + 35 = 63
7x = 63
7x - 35 = 63
35x + 7 = 63
• Question 3
900 seconds
Q. Terry had his car repaired at Ace Auto.  He was charged \$50 per hour of labor plus \$150 for parts.  His total bill for the repair before tax was \$375.  How many hours of labor was Terry charged for?
2.5 hours
4.5 hours
7.5 hours
10.5 hours
• Question 4
300 seconds
Q. Penelope is going to the carnival to ride the rides. It costs \$20 to get into the carnival and ride tickets are \$0.50 each. Write an equation that represents this scenario if she spends \$35 in all.
.50x + 20 = 35
.50x = 35
.50 + 20x = 35
.50x - 20 = 35
• Question 5
300 seconds
Q. Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie \$11 per hour plus a \$6 tip. Write an equation that represents this scenario if the total cost was \$39.
11x + 6 = 39
11x - 6 = 39
11 + 6x = 39
66x = 39
• Question 6
300 seconds
Q. 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.
331=7x+6
331=13x
331=6x+7
331-7=6x
• Question 7
300 seconds
Q. 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. The equation from the last problem was: 6x+7=331. How many students were in each bus?
54
45
56
65
• Question 8
300 seconds
Q. Jim paid a gym membership fee of \$50, plus \$20 per month.  Jim has paid a total of \$290 to the gym.  Which equation matches this situation?
50 + 20m = 290
20 + 50m = 290
50 + 20 = m
50m - 20 = 290
• Question 9
300 seconds
Q. Jim paid a gym membership fee of \$50, plus \$20 per month.  Jim has paid a total of \$290 to the gym. How many months has he been a member at the gym?
12
17
64.5
15
• Question 10
300 seconds
Q. Scott works on cars. He charges \$35 for each car plus \$7 per hour. Write an equation that represents this scenario if Kylie's car bill was \$63.
7x + 35 = 63
7x = 63
7x - 35 = 63
35x + 7 = 63
• Question 11
300 seconds
Q. Scott works on cars. He charges \$35 for each car plus \$7 per hour. Write an equation that represents this scenario if Kylie's car bill was \$63.
4 hours
5 hours
6 hours
7 hours
• Question 12
300 seconds
Q. Which situation can be represented by the inequality
15 + 6x ≤ 100?
Lazer Zone charges \$15 plus \$6 per person. If Andrea has a maximum of \$100 to spend, how many people can Andrea invite to play laser tag?
Lazer Zone charges \$6 plus \$15 per person. If Andrea has a maximum of \$100 to spend, how many people can Andrea invite to play laser tag?
Lazer Zone charges \$15 plus \$6 per person. If Andrea has a minimum of \$100 to spend, how many people can Andrea invite to play laser tag?
Lazer Zone charges \$6 plus \$15 per person. If Andrea has a minimum of \$100 to spend, how many people can Andrea invite to play laser tag?
• Question 13
120 seconds
Q. You flip an inequality symbol when you...
subtract
multiply and divide only
multiple by a negative number
multiple or divide by a negative number
• Question 14
300 seconds
Q. Joan needed \$100 to buy a graphing calculator for her math class. Her neighbor will pay her \$5 per hour to babysit and her Father gave her \$10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?
5x + 10 ≥ 100
5x - 100 ≥ 10
10x + 5 ≤ 100
5x + 10 > 100
• Question 15
900 seconds
Q. Mrs. Scott decided that she would spend no more than \$120 to buy a jacket and a skirt. If the price of the jacket was \$20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?
20x + 120 ≥ 3
x/3 + 20 ≤ 120
3x + 20 ≤ 120
3x + 20 ≥ 120
• Question 16
900 seconds
Q. The dance committee hired a DJ for the fall dance. The DJ charges \$125 per hour in addition to \$55 for an assistant. The committee wants to keep the total cost under \$600. Which inequality represents the maximum amount of hours the DJ will play at the dance?
125x + 55 ≤ 600
125x + 55 ≥ 600
125x + 55 > 600
125x + 55 < 600
• Question 17
300 seconds
Q. Daniel can spend no more than \$40 at the fair. If admission into the fair is \$10 and the rides cost \$1.50 each, which inequality represents the greatest number of rides Daniel can go on?
10x + 1.50 ≥ 40
1.50x + 10 ≤ 40
1.50x + 10 <40
10x + 1.50 < 40
• Question 18
300 seconds
Q. Triniti had \$500 in a saving account at the beginning of the summer. She wants to have at least \$200 in the account by the end of the summer. She withdraws \$25 each week for food, clothes, and movie tickets. Which inequality represents her situation?
200 + 25x ≥ 500
500 + 25x ≥ 200
500 - 25x ≥ 200
500 - 25x ≤ 200
• Question 19
900 seconds
Q. The members of Carver Middle School's Junior Beta Club need to raise at least \$2000 to attend their national convention. They raised \$300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge \$10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?
300x + 10 ≥ 2000
10x + 300 ≤ 2000
10x + 300 > 2000
300 + 10x ≥ 2000
• Question 20
900 seconds
Q. Which word problem represents the inequality:
x + 32 ≥ 80
(Show work by writing down inequality clue words.)
Janine's goal is to earn at least \$80 for soccer camp.  She has earned \$32 so far.  How much more does she need to earn?
Janine made more than 80 points during the basketball season.  She made 32 points the first five games.  How much did she score the rest of the games?
Janine scored above an 80 on her math homework.  But, she turned her work in late and was deducted 32 points.  What did she make after the deduction?
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