Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Unit 2a Quiz - Solving Equations

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

Solve for x:
 4(2x−3)=4x+244\left(2x-3\right)=4x+24  

a)

x = 9

b)

x = -9

c)

x = 3

d)

x = -3

2.

Solve for x:

 6(2x+1)=186(2x+1)=18  


a)

3

b)

 1712\frac{17}{12} 

c)

1

d)

2

3.

Solve for x:

 10=3x−1210=3x-12  


a)

 223\frac{22}{3}  

b)

 23\frac{2}{3}  

c)

 109\frac{10}{9}  

d)

8

4.

Solve for x:

 8x+2+3x+5=x+128x+2+3x+5=x+12  


a)

 −12-\frac{1}{2} 

b)

 22  

c)

 −2-2  

d)

 12\frac{1}{2} 

5.

In the following equation, solve for w.

 A=LWA=LW  


a)

 A=LWA=\frac{L}{W}  

b)

 W=LAW=\frac{L}{A}  

c)

 W=A−LW=A-L  

d)

 W=ALW=\frac{A}{L}  

6.

Solve for x:

 4x+7=234x+7=23  


a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

7.

What is the first step to solve this equation:


 11-3x=44  

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

8.

Translate this phrase into an algebraic equation:


Six less than twice a number is four.

a)

6−2x=46-2x=4

b)

2x−6=42x-6=4

c)

x2−6=4x^2-6=4

d)

6−x2=46-x^2=4

9.

Solve for x:

 x3+8=10\frac{x}{3}+8=10  


a)

5

b)

-6

c)

6

d)

21

10.

What is the first step in solving the equation the equation below?

 \frac{5\left(x-3\right)}{4}=10  

a)

multiply both sides by 4

b)

Multiply both sides by 5

c)

Add 3 to both sides

d)

Subtract 3 from both sides

11.

Translate the following into an algebraic equation:


Five times the sum of a number and two is equal to nine more than the same number.

a)

5(x + 2) = 9x

b)

5(x + 2) = x + 9

c)

5(x) + 2 = 9 - x

d)

5(2) + x = 9

12.

In the literal equation, a=b+ca=b+c  ,  if you are asked to solve for b,  what would you do to both sides of the equation?

a)

add c

b)

add b

c)

subtract a

d)

subtract c