Free Printable Unit 1 Review

1.

Match the graph with its inequality.

a)

x>11

b)

x<11

c)

x ≥ 11

d)

x ≤ 11

2.

Express the following interval in inequality notation:

[3, 5]

a)

3 ≤ x ≤ 5

b)

3 < x ≤ 5

c)

3 ≤ x < 5

d)

3 < x < 5

3.

Write the following in interval notation

-7 ≤ x < 8

a)

(-7, 8)

b)

[-7, 8)

c)

[-7, 8]

d)

(-7, 8]

e)

(8, -7]

4.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

5.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

6.

Simplify completely.

a)

2√3

b)

-8√3

c)

2√6

d)

-8√6

7.

$\sqrt{50}+2\sqrt{8}$

a)

$2\sqrt{58}$

b)

$9\sqrt{2}$

c)

$3\sqrt{8}$

d)

impossible

8.

$2\sqrt{12}-\ 5\sqrt{18}$

a)

$4\sqrt{3}-15\sqrt{2}$

b)

$-3\sqrt{-6}$

c)

$12\sqrt{3}$

d)

$-11\sqrt{2}$

9.

Simplify.
$\sqrt{6}\times\sqrt{2}$

a)

$4\sqrt{3}$

b)

$\sqrt{12}$

c)

$2\sqrt{3}$

d)

$12$

10.

Using exponents, simplify the following expression:

z^-3* z⁶ * z^-3

a)

1

b)

z⁶

c)

z⁵⁴

d)

1/z⁶

11.

Simplify the expression

a)

x²/2

b)

2/x¹⁴

c)

2x¹⁴

d)

2/x²

12.

Which two exponent rules do you need to use to simplify this expression?

a)

Product Rule and Quotient Rule

b)

Power Rule and Negative Exponent Rule

c)

Power Rule and Product Rule

d)

Zero Rule and Power Rule

13.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

14.

a)

b)

2x²z⁴

c)

3x²y⁵z⁴

d)

15.

Evaluate f(-2) if f(x) = x+3

a)

-1

b)

1

c)

5

d)

-5

16.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

17.

What is the range?

a)

(-4,5]

b)

[-4,5)

c)

(-3,3)

d)

[-3,3]

18.

What is the domain of the graph?

a)

[-7, 5)

b)

(-7, 5]

c)

[-3, 1)

d)

(-3, 1]

19.

What is the domain of the graph?

a)

[-3 , 3]

b)

[-2 , 3]

c)

[-3 , 4]

d)

(-3 , 4)

e)

All real numbers

20.

What is the range of the graph?

a)

$\left[1,\infty\right)$

b)

$\left(\infty,1\right]$

c)

All real numbers

d)

None of these

Unit 1 Review - Alg.2/Trig.

Total questions: 20

Worksheet time: 1hrs 11mins

Similar Resources on Wayground