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Applications with equations and inequalities-DHS2021

Total questions: 14

Worksheet time: 45mins

Name
Class
Date
1.

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

a)

3h − 2 ≤ 14

b)

3h + 2 ≤ 14

c)

3h − 2 ≥ 14

d)

3h + 2 ≥ 14

2.

1. Which situation is best represented by the following equation?

45w + 123.95 = 753.95

a)

Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

b)

Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?

c)

Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

d)

Erica paid $753.95 for dance classes. She paid a $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?

3.
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.
a)
331=7x+6
b)
331=13x
c)
331=6x+7
d)
331-7=6x
4.

Janae is saving to buy a pair of shoes that cost $120. She has saved $30 and is going to save $25 a week. Which equation will show her how many weeks she must save?

a)

120 = 25x + 30

b)

120 = 55x

c)

120 = 25x + 30x

d)

25x = 120 + 30

5.

CAMERON MADE 25 FREE THROWS LAST SEASON. THIS SEASON, HIS GOAL IS TO MAKE 5 FREE THROWS EACH GAME. SO FAR, CAMERON HAS MADE 8 FREE THROWS. WRITE AN INEQUALITY HE COULD USE TO DETERMINE HOW MANY GAMES, X, HE NEEDS TO PLAY IN ORDER TO MAKE NO LESS THAN 25 FREE THROWS

a)

5x−8>255x-8>25

b)

5x+8≤255x+8\le25

c)

5x+8≥255x+8\ge25

d)

8x−5≥258x-5\ge25

6.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
a)
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?
b)
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?
c)
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?
d)
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?
7.

ERIC’S LUNCH ACCOUNT HAS $25 FOR THE WEEK. ON MONDAY HE PURCHASES A DRINK FOR $1, A HAMBURGER FOR $4, AND COOKIES FOR $1 EACH. WRITE THE INEQUALITY IF HIS TOTAL PURCHASE ON MONDAY IS NO MORE THAN WHAT HE HAS IN HIS ACCOUNT IF HE PURCHASED X NUMBER OF COOKIES.

a)

x+5≤25x+5\le25

b)

x−5=25x-5=25

c)

5x=255x=25

d)

x−25=5x-25=5

8.
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.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
9.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

24+7x=10

c)

10+7x=24

d)

10+x=14

10.
Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.
a)
30 + 20x < 15 + 30x
b)
30x + 20 < 15x + 30
c)
30 + 20x > 15 + 30x
d)
30x + 20 > 15x + 30
11.
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?
a)
300x + 10 ≥ 2000
b)
10x + 300 ≤ 2000
c)
10x + 300 > 2000
d)
300 + 10x ≥ 2000
12.

ROMEO IS X YEARS OLD. HIS BROTHER IS TWO TIMES HIS AGE MINUS 2 YEARS. THEIR AGES COMBINED IS EQUAL TO 40 YEARS. WRITE AN EQUATION HE COULD USE TO REPRESENT HIS AND HIS BROTHERS AGE.

a)

x−2=40x-2=40

b)

x +(2x−2)=40x\ +\left(2x-2\right)=40

c)

2x−2=402x-2=40

d)

2x=40−22x=40-2

13.
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?
a)
5x + 10 ≥ 100
b)
5x - 100 ≥ 10
c)
10x + 5 ≤ 100
d)
5x + 10 > 100
14.
a)
171
b)
72
c)
80
d)
14