Equations Both Sides

Equations Both Sides

8th Grade

14 Qs

quiz-placeholder

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Equations Both Sides

Equations Both Sides

Assessment

Quiz

Mathematics

8th Grade

Practice Problem

Hard

CCSS
HSA.CED.A.3, 7.EE.B.4A, 8.EE.C.8C

+1

Standards-aligned

Created by

Barbara White

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent? 

30 + 0.15x = 36 + 0.10x
30 - 0.15x = 36 - 0.10x
30 + 36 = 0.10x + 0.36x
36 - 30 = 0.36x + 0.10x

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. Write an equation that could be used to determine how many rentals would be needed for the price to be equal.

25 - x = 15 - 2x
25 + 15 = x + 2x
25x + 1 = 15x + 2
25 + x = 15 + 2x

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies? 

2 miles 
4 miles
.50 mile
-4 miles 

Tags

CCSS.8.EE.C.8C

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value? 

15x + 2.5 = 10x + 3
15 - 2.5x = 10 - 3x
15 + 2.5x = 10 + 3x
15 - 10 = 2.5x + 3x

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal? 

150x + 24 = 180 + 20x
150 + 24x = 180 + 20x
180 - 150 = 24 x + 20x
150 - 24x = 180 - 20x

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. Write an equation to determine how many years would Mary's salary be the same at both companies. 

36,000x + 1,500 = 29,000x + 2,500
36,000 - 29,000 = 1,500x + 2,500x
36,000 - 1,500x = 29,000 - 2,500x
36,000 + 1,500x = 29,000 + 2,500x

Tags

CCSS.8.EE.C.7B

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class.  Write an equation to determine how many classes would need to be taken for the price to be equal? 

125 - 100 = 45x + 35x
100x + 45 = 125x + 35
100 + 45x = 125 + 35x
100 - 45x = 125 - 35x 

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