Free Printable Literal Equations

1.

Solve for the variable.

$\frac{n}{-3}\ =\ -0.9$

a)

n = -0.3

b)

n = 3

c)

n = 2.7

d)

n = 27

2.

Solve the word problem.

The formula d = rt gives the distance traveled in time t at rate r. A bicyclist rides at a constant rate of 15 miles per hour. How many miles will she travel in 3.5 hours?

a)

23.3 miles

b)

4.3 miles

c)

52.5 miles

d)

18.5 miles

3.

Solve the word problem.

A group of roommates decide to split the cost of a new sofa. If s is the cost of the sofa and n is the number of roommates, the formula c = determines each person's share of the cost. If the new sofa costs $955 and 4 roommates live in the house, what is each person's share?

a)

$238.75

b)

$221.25

c)

$95.50

d)

$382.00

4.

Solve the word problem.

The formula P = 6s gives the formula for the perimeter of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 3.4 cm?

a)

3.4 cm

b)

9.4 cm

c)

18.8 cm

d)

20.4 cm

5.

The formula d = rt gives the distance traveled in time t at rate r. If a bicyclist rides for 2.3 hours and travels 41 miles, what was her average speed?

a)

38.6 miles per hour

b)

17.83 miles per hour

c)

9.43 miles per hour

d)

5.6 miles per hour

6.

Solve the problem.

A group of roommates decide to split the cost of their groceries. If g is the amount spent on groceries and n is the number of roommates, the formula c = g/n determines each person's share of the cost.

If each person's share was $104.50 and 6 roommates live in the house, what was the cost of the groceries?

a)

$604.50

b)

$627.00

c)

$574.16

d)

$174.17

7.

Solve for v.

p = mv

a)

$m\ =\ \frac{v}{p}$

b)

$v=\frac{p}{m}$

c)

$v\ =\ \frac{m}{p}$

d)

$m\ =\ \frac{p}{v}$

8.

Solve for x.

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

a)

$x\ =\ sz$

b)

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

c)

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

d)

$x\ =\ s\ -\ z$

9.

Solve for h.

P = mgh

a)

h\ =\ \frac{P}{mg}

b)

$h\ =\ \frac{Pg}{m}$

c)

$h\ =\ P\ -\ mg$

d)

$h\ =\ P\ +\ mg$

10.

Solve for m.

E\ =\ \frac{cm}{r}

a)

$m\ =\ E\ +\ rc$

b)

$m\ =\ \frac{E\ +\ r}{c}$

c)

$m\ =\ E\ -\ rc$

d)

$m\ =\ \frac{Er}{c}$

11.

Solve for x.

y = mx + b

a)

x\ =\ \frac{y-b}{m}

b)

$x\ =\ ym\ +\ b$

c)

$x\ \ =\ ym\ -\ b$

d)

$x\ =\ \frac{y}{m\ -\ b}$

Literal Equations

Total questions: 11

Worksheet time: 33mins

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