Free Printable Solving Linear Equations in One Variable

1.

Solve for a

$8a\ -\ 12\ =\ 3a\ +\ 7$

a)

a = 3.8

b)

a = 95

c)

a = 19

d)

a = 3.4

2.

Solve for c

$4c\ -\ 2\left(c+6\right)\ =\ 3\left(2c+7\right)\ +\ 5$

a)

c = -9.5

b)

c = -38

c)

c = 4

d)

c = -1/2

3.

Solve for k

$k\left(k+3\right)\ +5=k^2+7k\ -10$

a)

$3\ \frac{3}{4}$

b)

$3\ \frac{1}{4}$

c)

$3\ \frac{1}{2}$

4.

Solve for b

$\frac{b\ +7}{2b}=\frac{4}{5}$

a)

$11\ \frac{2}{3}$

b)

35

c)

$11\ \frac{3}{4}$

d)

$10\ \frac{2}{3}$

5.

Solve for X

$4\ -\ \left(3-x\right)\ =\ x\ +\ 5$

a)

No solution

b)

X = 6

c)

X = 3

d)

Cannot be solved

6.

Solve for X

$2\left(x+1\right)\ -\ \left(x-2\right)\ =\ x\ +4$

a)

Any value of X works

b)

X = 4

c)

No Solution

d)

X = 3

e)

It is an identity

7.

Solve for w

$P\ =\ 2w\ +\ 2l$

a)

$\frac{P-2l}{2}$

b)

$P\ -\ l$

c)

w = 2

d)

$\frac{P}{2}-l$

8.

Solve for X

$ax+c\ =\ bx\ +10$

a)

$\frac{10-c}{a-b}$ , a $\ne$ b

b)

$a\ -b$

c)

$\frac{a}{10-c}$

d)

$\frac{c}{a-b}\ ,\ a\ \ne b$

9.

$7\left(a-3\right)-5\left(2a-4\right)=5$

Solve for a

a)

-2

b)

-3

c)

6

d)

-18

10.

$\frac{b}{b+6}=\frac{b-2}{b}$

Solve for b

a)

3

b)

$\sqrt{3}$

c)

-3

d)

$\frac{1}{3}$

11.

$3\left(z+2\right)-11=5\left(z-4\right)$

Solve for z

a)

7.5

b)

6.5

c)

-4

d)

3

12.

$\frac{b}{x}\ =\ \frac{3}{x-b}$

Solve for x

a)

$\frac{b^2}{b-3}$

b)

$\frac{b}{b-3}$

c)

$b-3$

d)

-3

13.

$S\ =\ 2\pi rh\ +\pi r^2$

Solve for h

a)

$\frac{S}{2\pi r}-\pi r^2$

b)

$\frac{S\ -\pi r^2}{2\pi r}$

c)

$\pi r^2-2$

d)

$r^2-2\pi r$

14.

$ax+b\ =\ c\left(x+1\right)$

Solve for X

a)

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

b)

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

c)

$-\frac{b\ +c}{a-c}$

d)

$a\ -bc$

15.

$\frac{b\ -a}{a^2-b^2}$ Can you simplify?

a)

$-\frac{1}{a+b}$

b)

$-\frac{1}{a\ -\ b}$

c)

$-\frac{a-b}{a+b}$

16.

$\frac{3a\ +b^2}{3a}$ Can you simplify?

a)

$1+\ \frac{b^2}{3a}$

b)

$b^2$

17.

$\frac{3a\ \times\ b^2}{3a}$ Can you simplify?

a)

$1+\ \frac{b^2}{3a}$

b)

$b^2$

18.

$\frac{2\ -\ 2x^2}{x^2-2x\ -\ 3}$ Can you simplify?

a)

$\frac{2\ \left(1-x\right)}{x\ -\ 3}$

b)

$\frac{2\ \left(1+x\right)}{x-3}$

c)

$-\frac{2\ \left(x+1\right)}{x+3}$

19.

$\frac{1\ +\frac{2}{x}}{1-\frac{4}{x^2}}$ Where could be the vertical asymptote?

a)

2

b)

-2

c)

x + 2

d)

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

20.

$\left(4-2\sqrt{3}\right)^2$ Simplify.

a)

$28\ -\ 16\sqrt{3}$

b)

$16\ -8\sqrt{3}-8\sqrt{3}+4\ \times\ 3$

c)

28

d)

$16\sqrt{3}$

21.

$27^{\frac{4}{3}}$ How would you write in root form?

a)

$3\sqrt{27^4}$

b)

$4\sqrt{27^3}$

22.

$x^{\frac{1}{2}}$ Which is the correct way of presenting it?

a)

$\sqrt{x}$

b)

$\sqrt{x^2}$

23.

$\left(3+\sqrt{2}\right)\left(3-\sqrt{2}\right)$ Simplifly.

a)

7

b)

$7-3\sqrt{2}$

c)

$7+3\sqrt{2}$

d)

$9-3\sqrt{2}+3\sqrt{2}-2$

24.

$4\ \times16^{\frac{1}{3}}-5\ \times\ 54^{\frac{1}{3}}$ Simplify.

a)

$-7\ \times\ 2^{\frac{1}{3}}$

b)

-7

c)

$\sqrt{15}$

25.

$\frac{\left(\frac{x}{2}+3\right)}{x-4}-\frac{1}{2}\ =-\frac{7}{8}$

Solve for X

a)

-12/7

b)

-16/3

c)

-26/7

d)

-48/11

Solving Linear Equations in One Variable - Algebra 2

Total questions: 25

Worksheet time: 13mins

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