Free Printable Algebra 2 Final Review (Units 1-3)

1.

Solve for x:
3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

2.

What inequality is represented?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

3.

What inequality is represented?

a)

-2 < x < 4

b)

-2 ≤ x ≤ 4

c)

-2 ≤ x ≥ 4

d)

-2 > x < 4

4.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

5.

What is the equation of a line that is perpendicular to the line y = -1/2x + 9 and goes through the point (0, -1)?

a)

y = -1/2x + 1

b)

y = 1/2x + 1

c)

y = 2x - 1

d)

y = 2x + 1

6.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

7.

What transformations to the parent function $f\left(x\right)=\left|x\right|$ result in $g\left(x\right)=\frac{1}{2}\left|x\right|+3$

a)

Compress by $\frac{1}{2}$ , shift up 3

b)

Compress by $\frac{1}{2}$ , shift down 3

c)

Stretch by $\frac{1}{2}$ , shift right 3

d)

Stretch by $\frac{1}{2}$ , shift left 3

8.

Which equation is an absolute value graph shifted right 5 units?

a)

y = |x - 5|

b)

y = |x + 5|

c)

y = |x| + 5

d)

y = -5|x|

9.

Choose the equation of the transformation function shown in the graph.

a)

$y=\left|x+1\right|+2$

b)

$y=\left|x-2\right|+1$

c)

$y=\left|x+2\right|+1$

d)

$y=\left|x-1\right|-2$

10.

Write the equation for an absolute value graph that is vertically compressed by a factor of 2/5 and shifted up 6.

a)

y=6|x|-2/5

b)

y=2/5|x|+6

c)

y=2/5|x+6|

d)

y=2/5|x-6|

11.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

12.

Solve the system:

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

13.

Solve the system:

y=5x−5

y= −4x+22

a)

(1, 2)

b)

(3, 10)

c)

(-1, 2)

d)

(-3, 10)

14.

Which of the following is a solution to the systems of inequalities?

a)

(-1, -3)

b)

(3, 0)

c)

(-2, 2)

d)

(4, 1)

15.

Which of the following represents the graph of the system of inequalities?

a)

$y\ge4x+2$

y<-x-3

b)

y<4x+2\

y\ge-x-3

c)

$y\le4x+2$
$y>-x-3$

d)

$y>4x+2$

y\le-x-3

Algebra 2 Final Review (Units 1-3)

Total questions: 15

Worksheet time: 4hrs 45mins

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