Free Printable Literal Equations and Practical Problems Review

1.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

2.

Solve for W: A = LW

a)

A - L = W

b)

A + L = W

c)

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

d)

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

3.

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

a)

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

b)

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

c)

$x\ =\ yz$

d)

$x\ =\ y\ -\ z$

4.

Solve for m
$E=mc^2$

a)

$m=E-c^2$

b)

$m=Ec^2$

c)

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

d)

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

5.

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

6.

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

a)

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

b)

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

c)

$h=3V-B$

d)

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

7.

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

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

8.

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

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

9.

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

10.

$F=\frac{GMm}{r^2}$

(solve for G)

a)

$G=\frac{Fr^2}{Mn}$

b)

$G=FMmr^2$

c)

$Fr^2=GMm$

d)

$G=Fr^2M^2$

11.

Solve for B: XY = BC

a)

$\frac{XY}{C}$ = B

b)

XY - C = B

c)

XY + C = B

d)

XYC = B

12.

Solve for y: 5x + 8y = 12

a)

\frac{-5x\ -\ 8}{8}

b)

$\frac{8y\ +\ 12}{5}$

c)

$\frac{-5x\ +\ 12}{8}$

d)

$\frac{-8y\ +\ 12}{5}$

13.

The larger of two numbers is four more than the smaller number. If the sum of the numbers is 74, find the numbers.

a)

35,39

b)

35,60

14.

The larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers is 38, find the two numbers.

a)

16,22

b)

16,28

15.

The Buffalo Bills scored 24 more than twice the number of points that the Miami Dolphins scored. Altogether, the teams scored 66 points. How many did each team score individually?

a)

Bills: 52, Dolphins: 14

b)

Bills: 54, Dolphins 12

16.

The sum of three consecutive numbers is 72. What are the smallest of these numbers?

a)

21

b)

23

c)

25

d)

26

17.

The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle.

a)

5 m by 8 m

b)

3 m by 10 m

c)

4 m by 9 m

d)

6 m by 7 m

Literal Equations and Practical Problems Review

Total questions: 17

Worksheet time: 51mins

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