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Solving for a Variable on Both Sides

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Solving for a Variable on Both Sides
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Select the situation that could be modeled by: 120 + 25x = 45x.

John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?

George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?

Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

2.

REORDER QUESTION

1 min • 1 pt

Put the Steps or solving Equations with Variables on both sides in order.

Move the variables to one side

Combine Like terms

Distribute

+ or - the constant

⋅ \cdot\  or ÷\div   the coefficient

3.

REORDER QUESTION

1 min • 1 pt

Put the steps for solving this equation in order: 2(x−3)=5x−92\left(x-3\right)=5x-9  

3=3x

1=x

2x-6=5x-9

-6=3x-9

Tags

CCSS.8.EE.C.7B

4.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Solve the equation for d. 
d / t = r

d = r / t

d = t / r

d = rt

d = r - t

Tags

CCSS.HSA.CED.A.4

5.

MULTIPLE CHOICE QUESTION

1 min • 4 pts

Solve for the variable.

22+2a=37+6+a

a = 21

a = 5

a = -5

a = -16

6.

MULTIPLE CHOICE QUESTION

1 min • 4 pts

Solve for the variable.

8-3a+12=2a

a = 4

a = 1

a = 3

a = 5

Tags

CCSS.7.EE.B.4A

7.

MULTIPLE CHOICE QUESTION

1 min • 4 pts

Solve for the variable.

10x + 9 = 4x - 9

x = 18

x = 3

x = -3

x = -18

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