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Equations 8th Grade

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

Which value of x makes this statement true?

 3x=2x+73x=2x+7  

a)

 75\frac{7}{5}  

b)

 66  

c)

 72\frac{7}{2}  

d)

7

2.

Solve.  2(3r+4)3(r+1)=142\left(3r+4\right)-3\left(r+1\right)=14  

a)

3

b)

 192\frac{19}{2}  

c)

16

d)

7

3.

Enter the value for x that makes the equation true.

 3(x4)+x=4x12-3\left(x-4\right)+x=4x-12  

a)

26

b)

5

c)

4

d)

 43\frac{4}{3}  

4.

A linear equation in one variable (the variable x) that can be transformed into an equivalent equation in which of these forms has more than one solution? Select the one that applies.

a)

x=4

b)

3=5

c)

1=1

d)

34\frac{3}{4}

5.

A linear equation with one variable, x, can be transformed into an equivalent equation that has one solution. Which of the following shows that the linear one-variable equation has one solution?

a)

1=2

b)

2=2

c)

x=8

d)

x=xx=x

6.

What is the solution to the equation?
 7+5x=87+5x=8  

a)

 x=2x=-2  

b)

 x=23x=-\frac{2}{3}  

c)

 x=1x=1  

d)

 x=15x=\frac{1}{5}  

7.

Solve.
 3(x+4)14=283\left(x+4\right)-14=28  

a)

 x=9x=9  

b)

 x=0x=0  

c)

 x=10x=10  

d)

 x=393x=\frac{39}{3}  

8.

How many solutions are there to this equation?
 4x6=2(2x+2)4x-6=2\left(2x+2\right)  

a)

one solution

b)

no solutions

c)

infinitely many solutions

d)

 12 Solutions12\ Solutions  

9.

Axel simplified an equation as far as he could and determined that his equation has an infinite number of solutions. Which simplified equation leads Axel to this conclusion?

a)

x=5x=5

b)

x=0x=0

c)

6=66=6

d)

3=23=-2

10.

What is the solution to the following equation?
 2(4x+2)=5+x-2\left(4x+2\right)=5+x  

a)

 38\frac{3}{8}  

b)

 x=83x=\frac{8}{3}  

c)

 x=11x=11  

d)

 x=1x=-1