Free Printable Algebra Unit 9 Review

1.

How do you calculate the axis of symmetry when given standard form (y=ax²+bx+c)?

a)

x=b/2

b)

x=-b/2

c)

x=(-b)/(2a)

d)

x=b/(2a)

2.

Identify the y-intercept: y=-2x²-8x+3

a)

(0, 3)

b)

(0, -3)

c)

(0, -8)

d)

(0, -2)

3.

Identify the axis of symmetry: y=-2x²-8x+3

a)

x=2

b)

x=-2

c)

x=4

d)

x=-4

4.

Which equation represents the parabola? [Think about what you cal tell from the graph and eliminate incorrect answer choices]

a)

-x² - 6x + 5

b)

x² + 6x + 5

c)

-x² + 6x - 5

d)

x² + 6x - 5

5.

What is the maximum?

a)

5

b)

4

c)

-1

d)

-3

6.

What is the location of the vertex?
4x² - 24x + 20

a)

(4 , 20)

b)

(3, -16)

c)

(-2 , 16)

d)

(-5, 12)

7.

What is the Range?

a)

x≤-2

b)

x≥-2

c)

y≤6

d)

y≥6

8.

What is the range?

a)

x≤3

b)

x≥3

c)

y≤-8

d)

y≥-8

9.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

10.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

11.

a)

-1 and 3

b)

1 and -3

c)

-1 and -3

d)

1 and 3

12.

a)

4 and 2

b)

-4 and -2

c)

4 and -2

d)

-4 and 2

13.

a)

-1 and 3

b)

1 and -3

c)

1 and 3

d)

-1 and -3

14.

What is a, b, and c in 3x² + 4 = 5x?

a)

a = 3, b = -5, c = 4

b)

a = 3, b = 5, c = 4

c)

a = 3, b = 5, c = -4

d)

a = 3, b = -5, c = -4

15.

Which function has the narrowest graph?

a)

y=-3x²

b)

y=2x²

c)

y=1/5x²

d)

y=1/11x²

16.

What is the domain of the function?

a)

All Real Numbers

b)

-3 ≤ x ≤ 1

c)

y ≥ 4

d)

y ≤ 4

17.

Which graph is the widest?

a)

y=4x²

b)

y=-6x²

c)

y=1/4x²

d)

y=.5x²

18.

What do we know about the discriminant of this function?

a)

It's positive

b)

It's negative

c)

It equals zero

d)

IDK

19.

When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?

a)

Minimum value

b)

Slope

c)

Maximum value

d)

A parabola

20.

The a value in this function will be....

a)

Negative and less than 1

b)

Negative and greater than 1

c)

Positive and less than 1

d)

Positive and greater than 1

21.

Solve for x by factoring.

a)

-6 or -2

b)

-2 or 6

c)

2 or 6

d)

-6 or 2

22.

Solve for v by factoring.

a)

A

b)

B

c)

C

d)

D

23.

Solve for a by factoring.
a² + 2a = 24

a)

-6 or 4

b)

6 or -4

c)

12 or -2

d)

8 or -3

24.

Solve for n by factoring.

a)

A

b)

B

c)

C

d)

D

25.

Solve by using square roots

a)

A

b)

B

c)

C

d)

D

26.

Solve by using square roots

a)

A

b)

B

c)

C

d)

D

27.

Solve by using square roots
x² - 3 = 78

a)

-9,9

b)

9

c)

-9

d)

-√75, √75

28.

Solve using square roots.

a)

A

b)

B

c)

C

d)

D

29.

Create a Perfect Square Trinomial
x²+ 18x + ____

a)

81

b)

-18

c)

9

d)

-9

30.

Create a Perfect Square Trinomial
x²+ 22x + ____

a)

11

b)

- 11

c)

121

d)

-121

31.

Create a Perfect Square Trinomial
x²- 4x + ____

a)

2

b)

-2

c)

4

d)

16

32.

Complete the Square and solve the equation.
r² - 4r = 30

a)

2 ± √ 34

b)

± √ 34

c)

2±√17

d)

-2±√34

33.

Complete the Square and solve the equation.
m² + 12m + 19 = 0

a)

- 6 ± √ - 19

b)

6 ± √ 19

c)

6 ± √ 17

d)

- 6 ± √ 17

34.

Create a Perfect Square Trinomial
x²+ 6x + ____

a)

6

b)

-6

c)

9

d)

-9

35.

Complete the Square
x² + 6x + 20

a)

(x + 3x)² =-11

b)

(x + 3)² =-11

c)

(x + 6)² =-11

d)

(x + 3)² =- 29

36.

Complete the Square
x² + 6x + 5

a)

(x + 3)² = 4

b)

(x + 6)² = 4

c)

(x + 3x)² = -4

d)

(x + 3)² =-4

37.

b² would equal: y = 2x² -x -3

a)

2

b)

-1

c)

1

d)

-3

38.

b² - 4ac would equal: y = 2x² -x -3

a)

25

b)

-23

c)

-25

d)

0

39.

Solve using the quadratic formula

a)

A

b)

B

c)

C

d)

D

40.

Solve using the quadratic formula

a)

A

b)

B

c)

C

d)

D

41.

Solve using the quadratic formula

a)

A

b)

B

c)

C

d)

D

42.

Solve using the quadratic formula

a)

A

b)

B

c)

C

d)

D

43.

Solve using the quadratic formula

a)

A

b)

B

c)

C

d)

D

44.

Solve using the quadratic formula

a)

A

b)

B

c)

C

d)

D

45.

Is this linear, exponential or quadratic?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None

46.

Is this linear, exponential or quadratic?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None

47.

Is this linear, exponential or quadratic?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None

48.

Is this linear, exponential or quadratic?

a)

Exponential

b)

Linear

c)

Quadratic

d)

None

49.

Is this linear, exponential or quadratic?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None

50.

Is this linear, exponential or quadratic?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None

51.

What type of equation is: y=3x² +5

a)

Quadratic

b)

Linear

c)

Exponential

d)

None

52.

What type of equation is: y=x(3x+1)

a)

Quadratic

b)

Linear

c)

Exponential

d)

None

53.

What type of equation is y=4^2x+4

a)

Linear

b)

Exponential

c)

Quadratic

d)

None

54.

Is this linear, exponential or quadratic?

a)

Linear

b)

Quadratic

c)

Exponential

d)

None

55.

Is this linear, exponential or quadratic?

a)

Linear

b)

Quadratic

c)

Exponential

d)

None

56.

Is this linear, exponential or quadratic?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None

57.

Is this linear, exponential or quadratic?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None

Algebra Unit 9 Review

Total questions: 57

Worksheet time: 9hrs 41mins

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