Free Printable Literal Equations & Proportions Review

1.

A literal equation is an equation that has...

a)

one variable (letter or symbol)

b)

two variables

c)

one or more variables

d)

more than one variable

2.

Solve $x+5\ =\ y$ for x

a)

$x=y+5$

b)

$x=y-5$

c)

$y=x-5$

d)

$y=x+5$

3.

Solve $3x+4y=8$ for y

a)

$y=\frac{\ 8-3x\ }{4}$

b)

$y=\frac{\ 8\ +\ 3x}{4}$

c)

$y=\frac{8-4}{3}$

d)

$y=\frac{8}{\ 3x\ }-4$

4.

Solve $a\ -\ b\ +\ c\ +d=\ e$ for c

a)

$c\ =\ a\ +\ b\ +\ d\ +\ e$

b)

$c\ =\ e\ -a\ +\ b\ -\ d$

c)

$c=e\ -d-b-a$

d)

$c=\frac{\ e\ }{abd}$

5.

Solve for W: A = LW

a)

A - L = W

b)

A + L = W

c)

$\frac{A}{W}$ = L

d)

$\frac{A}{L}$ = W

6.

$y=\ \frac{z}{x}\ \ solve\ for\ x$

a)

$x\ =\ \frac{y}{z}$

b)

$x\ =\ \frac{z}{y}$

c)

$x\ =\ yz$

d)

$x\ =\ y\ -\ z$

7.

Solve for m
$E=mc^2$

a)

$m=E-c^2$

b)

$m=Ec^2$

c)

$m=\frac{2E}{c}$

d)

$m=\frac{E}{c^2}$

8.

Solve for h, S = $2\pi rh$

a)

h= $\frac{S}{2\pi r}$

b)

h = $S2\pi r$

c)

h = $S-2\pi r$

d)

h = $\frac{2\pi r}{S}$

9.

$V=\frac{1}{3}Bh$
Solve for h

a)

$h=\frac{1}{3}V-B$

b)

$h=\frac{\frac{1}{3}V}{B}$

c)

$h=3V-B$

d)

$h=\frac{3V}{B}$

10.

$F=\frac{9}{5}C+32$
Solve for C

a)

$C=\frac{9}{5}\left(F-32\right)$

b)

$C=\frac{9}{5}F-32$

c)

$C=\frac{5}{9}F\ -32$

d)

$C=\frac{5}{9}\left(F-32\right)$

11.

$V=\frac{1}{3}\pi r^2h$
Solve for $r$

a)

$r^{ }=\frac{V}{3\pi h}$

b)

$r^{ }=\sqrt{\frac{3\pi h}{V}}$

c)

$r^{ }=\sqrt{\frac{3V}{\pi h}}$

d)

$r=\frac{3V}{\pi h}$

12.

What is a proportion?

a)

When two ratios can be simplified

b)

When two ratios are equivalent and show the same value

c)

When two ratios have the exact same numbers

d)

When two ratios can be multiplied by 2

13.

$\frac{n}{12}=\ \frac{3}{8}\ \ \ \ \ \ Find\ the\ Equation!\ \ \ \$

a)

3n=12(8)

b)

8n=12(3)

c)

12(8)=3n

d)

3(8)=12n

14.

$\frac{n}{12}=\ \frac{3}{8}\ \ \ \ \ \ \ \ \ \$

a)

$\frac{6}{2}$

b)

$4.5$

c)

3.7

d)

$\frac{8}{3}$

15.

$\frac{1}{12}=\ \frac{8}{x}$

a)

x= 72

b)

x= 20

c)

x= 96

d)

x= 42

16.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

17.

$\frac{x+4}{12}=\ \frac{3}{4}$

a)

x= 6

b)

x= 8

c)

x = 2

d)

x= 5

18.

Solve the proportion:

$\frac{4}{8x}=\frac{-2}{x+5}$

a)

-1

b)

5

c)

4

d)

-0.25

19.

Set up a proportion for the following situation:

If a car travels 280 miles in 7 hours, how far will it travel in 12 hours?

There are 2 correct answers.

a)

$\frac{280}{7}=\frac{x}{12}$

b)

$\frac{280}{7}=\frac{12}{x}$

c)

$\frac{280}{x}=\frac{7}{12}$

d)

$\frac{280}{x}=\frac{12}{7}$

20.

What is the value of "x" in this proportion?

a)

23

b)

24

c)

25

d)

26

Literal Equations & Proportions Review

Total questions: 20

Worksheet time: 49mins

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