Free Printable Algebra 2

1.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

2.

What are the solutions?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

3.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

4.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

5.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

6.

What are the solutions to this function?

a)

x={-2,-1}

b)

x={-3,-1}

c)

x={-1,3}

d)

x={-1,-2}

7.

Factor:

x² − 15x + 50

a)

(x − 10)(x − 15)

b)

(x − 10)(x − 5)

c)

(x − 25)²

d)

(x − 5)(x − 5)

8.

Factor:

x²+ 9x − 36

a)

(x + 12)(x − 3)

b)

(x + 9)(x − 4)

c)

(x − 12)(x + 3)

d)

(x − 9)(x − 4)

9.

Factor:

a² − a − 12

a)

(a − 4)(a + 3)

b)

(a + 6)(a − 4)

c)

(a − 6)(a + 4)

d)

(a + 4)(a − 3)

10.

Factor:

n² + 16n + 63

a)

(n − 7)(n + 4)

b)

(n + 7)(n − 9)

c)

(n − 3)(n − 10)

d)

(n + 7)(n + 9)

11.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

12.

Solve for x:

2x -1(3+4x) = 11

a)

x = -4

b)

x = 7/3

c)

x = -7

d)

x = -17/8

13.

Solve for b:
-11 + 3(b + 5) = 7

a)

b = 1

b)

b = -1

c)

b = 3

d)

b = -3

14.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

15.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

16.

What is/are the solution(s) to the system graphed below:

a)

No Solution

b)

(0,-1)

c)

(-1,0)

d)

(1,0)

17.

What is/are the solution(s) to the systems graphed below?

Check ALL that apply.

a)

(-1,0)

b)

(0,1)

c)

(1,0)

d)

(3,4)

18.

What is the greatest common factor of 10b²and 10?

a)

2

b)

5

c)

10

d)

10b

19.

What is the greatest common factor of 48x²and 32x³?

a)

8x²

b)

16x²

c)

16x

d)

96x³

20.

What is the greatest common factor of 30x and 56x²

a)

4x

b)

6x

c)

2x

d)

x

21.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

22.

Let

h\left(x\right)=13-5x

What is

h\left(5\right)=

?

a)

$h\left(5\right)=12$

b)

$h\left(5\right)=3$

c)

$h\left(5\right)=-2$

d)

$h\left(5\right)=-12$

23.

g(x) = 4x - 7

Find g(-9).

a)

g(-9) = 29

b)

g(-9) = -43

24.

Use synthetic division to divide the following:

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

25.

Use synthetic division to divide the following:

(3x³ - 2x² - 7x + 6) ÷ (x + 1)

a)

3x³ - 5x² - 2x + 8

b)

3x² + x - 6

c)

3x² - 5x - 2 + 8/x+1

d)

3x³ + x² - 6x

26.

Find the perimeter of the rectangle.

a)

60 cm

b)

49 cm

c)

34 cm

d)

120 cm

27.

Find the area of the square.

a)

$64\ mi^2$

b)

$8\ mi^2$

c)

$16\ mi^2$

d)

$32\ mi^2$

28.

a)

70 cm³

b)

19 cm³

c)

88 cm³

d)

165 cm³

29.

What is the area of the square?

a)

24.4 cm²

b)

12.2 cm²

c)

37.21 cm²

d)

1,384.5841 cm²

30.

What is the volume of the rectangular prism?

a)

6 ft³

b)

11 ft³

c)

30 ft³

d)

36 ft³

Algebra 2 - Module 5 Prep

Total questions: 30

Worksheet time: 5hrs 0mins

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