Free Printable Algebra II

1.

What set notation does the number line represent?

a)

{x| x ≥-5 }

b)

{x| -5 ≥ x }

c)

{x| -5 ≥∞}

d)

{x| -5 ≤ x < ∞ }

2.

What is the domain of this piecewise linear function?

a)

-6 ≤ x ≤ 6

b)

0 ≤ x ≤ 7

c)

2 ≤ x ≤ 7

d)

No Solution

3.

Which graph matches the inequality
2 > p?

a)

A

b)

B

c)

C

d)

D

4.

When graphing an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

5.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

6.

What is the range of the graph?

a)

(-∞,∞)

b)

[0,∞)

c)

(0,5)

d)

[-1,∞)

7.

What interval notation does the number line represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

d)

(-5, ∞)

8.

What is the domain of the graph?

a)

[-2,2]

b)

[-2,1]

c)

[-4,-1]

d)

(-∞,∞)

9.

What is the domain of the function?

a)

D:{ x is greater than or equal to 3}

b)

D:{x is less than or equal to 3}

c)

D:{all real numbers}

d)

D:{ x is all real numbers between and including -1 and 5}

10.

What is the equation for the axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

11.

Express the following in interval notation

-8 ≤ x < 8

a)

[-8, 8]

b)

[-8,8)

c)

(-8, 8]

d)

(-8, 8)

12.

Over what interval is this function constant?

a)

-5 < x < ∞

b)

-3 < x < 4

c)

4 < x < ∞

d)

-5

13.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

14.

Which graph matches the inequality

k > 3?

a)

A

b)

B

c)

C

d)

D

15.

When is the velocity decreasing?

a)

0 < t < 60

b)

40 < t < 60

c)

15 < t < 40

d)

-40 < t < 0

16.

At what point is the minimum of this graph?

a)

(-1, 3)

b)

(3, -1)

c)

(0,3)

d)

(5,0)

17.

What is the range of this piecewise linear function?

a)

-6 ≤ y ≤ 6

b)

0 ≤ y ≤ 6

c)

No Solution

d)

4 ≤ y ≤ 3

18.

When is this function increasing?

a)

-2.5 < x < 2.5

b)

0 < x < 5

c)

0 < x < 55

d)

-5 < x < 0

19.

On what interval is the graph negative?

a)

(-2, ∞)

b)

(-∞, -2)

c)

(-∞, ∞)

d)

N/A

20.

For what intervals of x is f(x) positive?

a)

x≤-1

b)

x≥-1

c)

-3<x<1

d)

-3≤x≤1

21.

What is another way to say "where a function crosses the x-axis"?

a)

x-intercept

b)

zero

c)

root

d)

all of these.

22.

Is point A on this graph a maximum or minimum?

a)

Maximum

b)

Minimum

23.

Find the inverse of the function $f\left(x\right)=3x-2$ .

a)

$f^{-1}\left(x\right)=2x+3$

b)

$f^{-1}\left(x\right)=3x+6$

c)

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

d)

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

24.

Find the inverse of the function $f\left(x\right)=2x^2+3$

a)

$y^{-1}=\pm\sqrt{2x-6}$

b)

$y^{-1}=\pm\sqrt{\frac{1}{2}x-\frac{3}{2}}$

c)

$y^{-1}=2x^2-3$

d)

$y^{-1}=\frac{1}{2}x+2$

Algebra II - Unit 1 Review

Total questions: 24

Worksheet time: 46mins

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