Free Printable Algebra 2

1.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

2.

Solve the absolute value equation.

a)

{7}

b)

{-7, 7}

c)

{0, 7}

d)

No Solution

3.

|8 - 4x| = 16

a)

x = -2, x = -6

b)

x = 2 , x = 24

c)

x = -2, x = 6

d)

No Solution

4.

Solve |2x –3| + 5 =10.

a)

-1, 1

b)

-1, 4

c)

-1, -4

d)

1, 4

5.

$\left|-6x\right|=30$

a)

{4,-4}

b)

{5,0}

c)

{-5,5}

d)

{3,-10}

6.

$\frac{\left|a-5\right|}{8}=5$

a)

{45,-35}

b)

{48,34}

c)

{80,0}

d)

{36,47}

7.

$-10\left|v+2\right|=-70$

a)

{5,-9}

b)

{7,-7}

c)

{50,90}

d)

{9,-5}

8.

$-5\left|3+4k\right|=-115$

a)

$\left\{5,\frac{-13}{2}\right\}$

b)

{5,-5}

c)

{-13,13}

d)

{13,2}

9.

$2-5\left|5m-5\right|=-73$

a)

{4,-2}

b)

{6,-8}

c)

{2,-4}

d)

{4,-1}

10.

$6\left|1-5x\right|-9=57$

a)

{-2,5}

b)

$\left\{-2,\frac{12}{5}\right\}$

c)

{2,-12}

d)

$\left\{2,\frac{-15}{4}\right\}$

11.

$3\left|3-5r\right|-3=18$

a)

$\left\{\frac{-4}{5},2\right\}$

b)

{2,4}

c)

{-4,5}

d)

$\left\{\frac{4}{3},-1\right\}$

12.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

13.

Solve.
|y - 4| ≥ 8

a)

y ≤ -4 or y ≥ 12

b)

-4 ≤ y ≤ -12

c)

y ≤ 4 or y ≥ -12

d)

-12 ≤ x ≤ 4

14.

Solve.
|c + 4| < 5

a)

x < -9 or x > 1

b)

-9 < x < 1

c)

x < 9 or x > -1

d)

-1 < x < 9

15.

Solve:
|x + 4| + 8 > 2

a)

x < -3 and x > -5/3

b)

x < -3 and x > -4

c)

all real numbers

d)

no solution

16.

Solve:
3 | 2x + 7| - 7 < -4

a)

x < -3 and x > -5/3

b)

x < -3 and x > -4

c)

all real numbers

d)

no solution

17.

Solve for x:

$\left|5-5x\right|+1\le36$

a)

$\left(-\infty,-6\right]\cup\left[8,\infty\right)$

b)

$\left(-6,8\right)$

c)

$\left(-\infty,-6\right)\cup\left(8,\infty\right)$

d)

$\left[-6,8\right]$

18.

Solve for x: $\frac{\left|-10+4x\right|}{10}\ge1$

a)

$\left(0,5\right)$

b)

$\left(-\infty,0\right)\cup\left(5,\infty\right)$

c)

$\left(-\infty,0\right]\cup\left[5,\infty\right)$

d)

$\left[0,5\right]$

19.

Select all that apply:

Solve for x: $|−4+5x|=17x$

a)

$x=-\frac{1}{3}$

b)

$x=-3$

c)

$x=\frac{2}{11}$

d)

$x=\frac{11}{2}$

20.

Which of the following is the correct function for the graph shown? Do NOT graph into your calculator! You can click on the image to make it bigger.

a)

$f(x)=-3|x-1|+4$

b)

$f(x)=-|x-1|+4$

c)

$f(x)=-3|x+1|+4$

d)

$f(x)=-3|x-4|+1$

21.

-2 < x - 9 < 3

a)

x < 12

b)

7 < x

c)

7 < x < 12

22.

x + 2 < -4 or -5x < -15

a)

-6 < x < 3

b)

x < -3 and x > 6

c)

x < -6 or x > 3

d)

No Solution

23.

2 < 3x - 12 < 5

a)

$\frac{14}{3}\ <\ x\ <\ \frac{17}{3}$

b)

$\frac{3}{14}\ <\ x\ <\ \frac{3}{17}$

c)

$4\ <\ x\ <3$

d)

$42\ <\ x\ <\ 51$

24.

Solve:

3x + 2 < -4 or 4x + 4 > 28

a)

x < -2 or x > 6

b)

x < 2 or x > 6

c)

x < -2 and x > 6

d)

x < 2 and x > 6

25.

$-3\le\frac{v}{3}<3$

a)

$-9\le v<9$

b)

$-8\le v\le4$

c)

$v\ge-8$

d)

$v\ge-9$

Algebra 2

Total questions: 25

Worksheet time: 2hrs 54mins

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