Free Printable Unit 9 Test Review: Quadratics

1.

The graph of a quadratic function is called

a)

a line

b)

a hyperbola

c)

a parabola

d)

a cubic

2.

The standard form of a quadratic equation is

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

3.

Which of the following is NOT a quadratic function

a)

f(x) = -3x²

b)

f(x) = -5x - 3x²

c)

f(x) = 3x³- 4x² + 5

d)

f(x) = 3x + 5

4.

f(x) = 3x² - 4 is a quadratic function

a)

true

b)

false

5.

Does this function have a maximum or minimum?

a)

maximum

b)

minimum

6.

What is the vertex of this function?

a)

(0, -3)

b)

(1, -4)

c)

(-2, 5)

d)

{-1, 3}

7.

Identify the roots of the quadratic.

a)

x = {-1, 3}

b)

x = {-3}

c)

x = {1, -4}

d)

x = {1}

8.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

9.

What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.

a)

x≥3

b)

x≤3

c)

All real numbers

d)

-1≤x≤5

10.

What is the range of the function?

*Hint: Range is all of the y-values included in the function.

a)

$-\infty<y\le3$

b)

$-3\le y<\infty$

c)

All real numbers

d)

-6≤y≤3

11.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

12.

Factor
n² + 5n - 6

a)

(n - 2)(n - 3)

b)

(n - 1)(n + 6)

c)

(n + 1)(n - 6)

d)

(n + 2)(n - 3)

13.

Factor completely.
5x²-15x+10

a)

(5x - 2)(x - 5)

b)

5(x - 2)(x + 1)

c)

(5x + 2)(x + 5)

d)

5(x - 2)(x - 1)

14.

Factor 4x²-9

a)

(4x-9)(4x+9)

b)

(2x-3)(2x+3)

c)

2x-3

d)

(2x-4.5)(2x+4.5)

15.

3x²- 75

a)

3( x + 5 ) ( x - 5 )

b)

Prime

c)

( x + 5 ) ( x - 5 )

d)

3( x - 5 ) ( x - 5 )

16.

Factor $m^2\ -\ 36$

a)

$(m+18)(m-18)$

b)

$(m+6)^2$

c)

$\left(m\ -\ 6\right)^2$

d)

$(m\ +\ 6)\left(m\ -\ 6\right)$

17.

GRAPH IT:

A ball is thrown upwards, and is modeled by the equation $h\left(t\right)=-4t^2+20t+2.5$ ,

where h(t) is height (feet) and t is time (seconds). What is the initial height of the ball? (hint: when time=0)

a)

0 feet

b)

2.5 feet

c)

27.5 feet

d)

5.122 feet

18.

GRAPH IT:

A ball is thrown upwards, and is modeled by the equation $h\left(t\right)=-4t^2+20t+2.5$ ,

where h(t) is height (feet) and t is time (seconds). What is the maximum height of the ball?

a)

0 feet

b)

2.5 feet

c)

27.5 feet

d)

5.122 feet

19.

GRAPH IT:

A ball is thrown upwards, and is modeled by the equation $h\left(t\right)=-4t^2+20t+2.5$ ,

where h(t) is height (feet) and t is time (seconds). How many seconds is the ball in the air?

a)

0 seconds

b)

2.5 seconds

c)

27.5 seconds

d)

5.122 seconds

Unit 9 Test Review: Quadratics

Total questions: 19

Worksheet time: 29mins

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