 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.)