Free Printable Literal Equations

Free Printable Worksheets

Worksheets

Literal Equations

Total questions: 30

Worksheet time: 1hrs 21mins

Name

Class

Date

1.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

2.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

3.

Solve for a: $u\ =\ \frac{\left(ak\right)}{b}$

a)

a = ukb

b)

a = uk + b

c)

$a\ =\ \frac{\left(ub\right)}{k}$

d)

$a\ =\ \frac{k}{ub}$

4.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

5.

2. Given 15x + 1 = y, solve for x.

a)

$x\ =\frac{y+1}{15}$

b)

$x\ =\frac{y-15}{1}$

c)

$x\ =\frac{y-1}{15}$

d)

$x\ =\frac{y+15}{1}$

6.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

7.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

8.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

9.

Solve for x: u = 2x - 2

a)

$x\ =\ u-1$

b)

$x\ =\ \frac{2}{u}\ +2$

c)

x $x\ =\ \frac{\left(u-2\right)}{2}$

d)

$x\ =\ \frac{u}{2}+1$

10.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

11.

$Given\ d=rt,\ solve\ for\ r.\$

a)

$r=\frac{t}{d}$

b)

$t\ =\ \frac{d}{r}$

c)

$d=\frac{r}{t}$

d)

$r=\frac{d}{t}$

12.

$Given\ mx+4y=3t,\ solve\ for\ x.$

a)

$x=\ \frac{3t+4y}{m}$

b)

$x=\frac{3t-4y}{m}$

c)

$x=\frac{3m-4y}{t}$

d)

$x=\frac{3y+4t}{m}$

13.

$Given\ V=lwh,\ solve\ for\ l.$

a)

$l=\frac{Vw}{h}$

b)

$l=\frac{V}{wh}$

c)

$l=\frac{Vh}{w}$

d)

$l=\frac{wh}{V}$

14.

$Given\ 5x-y=16,\ Solve\ for\ y.$

a)

$-y=5x+16$

b)

$x=5y-16$

c)

$y=5x+16$

d)

$y=5x-16$

15.

$Solve:\ C=2\pi r,\ for\ r$

a)

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

b)

$r=C+2\pi$

c)

$r=C-2\pi$

d)

$r=2\pi C$

16.

What property of equality is shown below?

25 + d = 36

25 + d - 25 = 36 - 25

a)

addition property of equality

b)

subtraction property of equality

c)

division property of equality

d)

multiplication property of equality

17.

What property of equality is shown below?
7n=28
7n $\div$ 7 = 28 $\div$ 7

a)

addition property of equality

b)

subtraction property of equality

c)

multiplication property of equality

d)

division property of equality

18.

What property of equality is shown below?

5m + 4 = 19

5m + 4 - 4 = 19 - 4

a)

addition property of equality

b)

subtraction property of equality

c)

multiplication property of equality

d)

division property of equality

19.

Which property of real numbers justifies the work shown from Step 1 to Step 2?

a)

Distributive Property

b)

Commutative Property

c)

Identity Property

d)

Associative Property

20.

If 2x - 5 = 10, then 2x = 15.

a)

Subtraction Property of Equality

b)

Addition Property of Equality

c)

Division Property of Equality

d)

Substitution

21.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

22.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

23.

Solve the equation:

2(x + 3) = 8

a)

2.5

b)

1

c)

7

d)

5.5

24.

8v - 4(v + 8) = 8

What is the solution to the equation?

a)

2

b)

10

c)

4

d)

-4

25.

Solve

-124 = 4 (1+ 8k)

a)

-11

b)

10

c)

-4

d)

-2

26.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

27.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

28.

3x + 2(4x - 4) = 3

What is the solution to the equation?

a)

4

b)

3

c)

2

d)

1

29.

8v - 4(v + 8) = 8

What is the solution to the equation?

a)

2

b)

10

c)

4

d)

-4

30.

3(4r - 1) + 5 = 26

a)

-1

b)

2

c)

-2

d)

4

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