Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Literal Equations Review

Total questions: 12

Worksheet time: 6mins

Name
Class
Date
1.

Solve  x+5 = yx+5\ =\ y  for x

a)

 x=y+5x=y+5  

b)

 x=y−5x=y-5  

c)

 y=x−5y=x-5  

d)

 y=x+5y=x+5  

2.

Solve  3x+4y=8  for y

a)

 y= 8−3x 4y=\frac{\ 8-3x\ }{4}  

b)

 y= 8 + 3x4y=\frac{\ 8\ +\ 3x}{4}  

c)

 y=8−43y=\frac{8-4}{3}  

d)

 y=8 3x −4y=\frac{8}{\ 3x\ }-4  

3.

Solve  a−7 = ba-7\ =\ b  for a

a)

 b=a+7b=a+7  

b)

 b=a−7b=a-7  

c)

 a=b−7a=b-7  

d)

 a=b+7a=b+7  

4.

Solve   5x + y 2=w\frac{\ 5x\ +\ y\ }{2}=w  for x

a)

 x=w+2−y5x=\frac{w+2-y}{5}  

b)

 x= 2w −y 5x=\frac{\ 2w\ -y\ }{5}  

c)

 x=2w−y−5x=2w-y-5  

d)

 x=w+2−y−5x=w+2-y-5  

5.

Solve  2(x+7)=y2\left(x+7\right)=y  for x


a)

 x=y−14−2x=y-14-2  

b)

 x= y 2−14x=\frac{\ y\ }{2}-14  

c)

 x= y−14 2x=\frac{\ y-14\ }{2}  

d)

 x= y+14 2x=\frac{\ y+14\ }{2}  

6.

Solve  3(x+4)=y3\left(x+4\right)=y  for x

a)

 x=y−12−3x=y-12-3  

b)

 x= y 3−12x=\frac{\ y\ }{3}-12  

c)

 x= y−12 3x=\frac{\ y-12\ }{3}  

d)

 x= y−3 12x=\frac{\ y-3\ }{12}  

7.

Solve  ab + c = dab\ +\ c\ =\ d  for b

a)

 b= d−c ab=\frac{\ d-c\ }{a}  

b)

 b= d a+cb=\frac{\ d\ }{a}+c  

c)

 b=d−c−ab=d-c-a  

d)

 a= d−c ba=\frac{\ d-c\ }{b}  

8.

Solve W=5(x+y)2W=\frac{5\left(x+y\right)}{2}  for x

a)

 x=W+2−5y5x=\frac{W+2-5y}{5}  

b)

 x= 2W+5y5x=\frac{\ 2W+5y}{5}  

c)

 x= 2W−5y5x=\frac{\ 2W-5y}{5}  

d)

 x=2W−5y−5x=2W-5y-5  

9.

The formula for speed is S=dtS=\frac{d}{t}   where d is the distance and t is the time. How far have you traveled if you have been driving at a constant speed of 65 miles per hour for 4 hours?


a)

61 miles

b)

16.25 miles

c)

260 miles

d)

130 miles

10.

The perimeter of a rectangle can be found by using the formula P=2l+2wP=2l+2w . What is the length of a rectangle that has a perimeter of 38 and a width of 7?


a)

length = 24

b)

length= 12

c)

length = 18

d)

length = 22

11.

The Warrior football team won the game with a total of 48 points. They scored 5 touchdowns and 3 extra points. Use the equation S=6T+E+3FS=6T+E+3F  , where S is the score, T is the touchdowns, E is extra points, and F is field goals, to find out how many field goals were made.


a)

4 field goals

b)

5 field goals

c)

7 field goals

d)

6 field goals

12.

A car’s fuel economy E(miles per gallon) is given by the formula E=mgE=\frac{m}{g}   , where m is the number of miles driven and g is the number of gallons of fuel used. If Lisa’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive?

a)

315 miles

b)

285 miles

c)

20.5 miles

d)

125 miles