Free Printable Algebra 2 Unit 1 Test - Equations & Inequalities

1.

DEFINE: Absolute Value...

a)

always positive numbers

b)

negative numbers becoming positive

c)

distance from zero

d)

numbers on the number line

2.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

3.

Solve interval notation:

28-7x\le-4\left(-7x-7\right)

a)

(0, ∞)

b)

[0, ∞)

c)

(0, ∞]

d)

(-∞, 0]

4.

Solve the compound inequality:

3x + 2 < -4 or 4x + 4 > 24

a)

x < -2 or x > 5

b)

x < 2 or x > 5

c)

x < -2 and x > 5

d)

x < 2 and x > 5

5.

Solve the compound inequality:

37 > 7 −6x > −17

a)

(4, -5)

b)

(-5, 4)

c)

(5, -4)

d)

(-5, -4)

6.

Solve: 5(2x -1) = -5+ 10x

a)

x = 5

b)

x = 0

c)

all real numbers

d)

no solution

7.

What is the first step to solve this equation:

- 2x + 20 = 44

a)

Add 3 to both sides

b)

Subtract 20 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

8.

Is 7 the solution to the equation

3x+8-x=5x-4

a)

yes

b)

no

c)

maybe

9.

Solve: 4 - 5p = 5(6 + p) + 3p

a)

-2

b)

2

c)

-8

d)

8

10.

Define: Extraneous Solution

a)

A solution that works in the original equations.

b)

A solution that does not work in the original equations.

c)

A solution that is infinite.

d)

A solution that requires to be checked.

11.

Find the solution:

$\left|n-7\right|=3n-1$

a)

$n=2$

b)

$n=-3$

c)

$n=-2$

d)

$n=3$

12.

Simplify: $\frac{4+\sqrt{121}-2\cdot3^3}{\left|-19-2\left(-8\right)\right|}$

a)

13

b)

23

c)

-3

d)

-13

13.

$10a^2-5ab+4b\ \ if\ a=-3\ and\ b=2$

Simplify

a)

52

b)

128

c)

68

d)

104

14.

Solve the compound inequality and graph its solution.

a)

A

b)

B

c)

C

d)

D

15.

Solve the compound inequality above and identify the graph which represents the solution.

a)

A

b)

B

c)

C

d)

D

16.

Solve : -8(-8x - 6) = -6x - 22

a)

2/5

b)

-1

c)

8/7

d)

2

17.

Solve: $\left|3x-9\right|=24$

a)

-5

b)

11

c)

-5, 11

d)

No Solution

18.

Solve and graph the solution:

a)

A

b)

C

c)

B

d)

D

19.

$25\cdot\left(4-8\right)^2$

Which operation is performed FIRST?

a)

multiplication

b)

subtraction

c)

division

d)

addition

20.

Distribute and combine like terms:

15 + 4(5y + 10)

a)

5y + 25

b)

20y - 25

c)

20y + 40

d)

20y + 55

Algebra 2 Unit 1 Test - Equations & Inequalities

Total questions: 20

Worksheet time: 1hrs 8mins

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