Free Printable Chapter 9 Review - Quadratic Functions

1.

Does the graph in the background have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

2.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

3.

What is the y-intercept for the equation:
y = -8x² + 3x - 7

a)

(0, -8)

b)

(0, 3)

c)

(0, 7)

d)

(0, -7)

4.

What are the x-intercepts of the function f(x) = (x - 2)(x + 3)?

a)

x = -2 or x = 3

b)

x = 2 or x = -3

c)

There are no real roots

d)

x = 2 or x = 3

5.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

6.

Solve:
2x² - 9x = 35

a)

x = 7/2, x = -6

b)

x = -5/2, x = 5

c)

x = -3/7, x = 6

d)

x = -5/2, x = 7

7.

Solve:
4x² = -4x - 1

a)

x = -½

b)

x = -2

c)

x = 0

8.

Find the missing value "c" to create a perfect square trinomial:
x² - 8x + ___

a)

-4

b)

16

c)

4

d)

8

9.

Solve the equation (x + 3)^2 = 49.

a)

x = -7, 7

b)

x = 4, -10

c)

x = -4 +- √7

d)

x = 10, -4

10.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

11.

What is the constant that should be added to the expression to complete the square: x²+16x?

a)

16

b)

8

c)

64

d)

32

12.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(-2,-1)

d)

(0,0)

13.

What are the x-intercepts?

a)

x = 0 and x = -4

b)

x = 0 and x = 4

c)

y = 0

d)

x = 2

14.

Which answer choice describes y = -3x^2 +7x - 2 accurately?

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum

15.

Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3

a)

Minimum value, because the a value is positive

b)

Maximum value, because the b value is positive

c)

Maximum value, because the a value is positive

d)

Minimum value, because the c value is negative

16.

Find the y-intercept of f(x) = 2x² - 2x + 1

a)

2

b)

-2

c)

1

d)

-1

17.

Find the vertex of
f(x) = -x² - 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

18.

Find the axis of symmetry for f(x) = x² - 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

19.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

20.

Is this a max or min?

a)

max

b)

min

c)

cannot be determined

21.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

22.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

23.

What is the y-intercept for the equation:
y = -8x² + 3x - 3

a)

(0, -8)

b)

(0, 3)

c)

(-8, -7)

d)

(0, -7)

24.

The lowest point one hits when using a swing would represent what?

a)

Maximum value

b)

Minimum value

c)

A root

d)

An x-intercept

25.

Which is the vertex of y = x² + 16x + 71?

a)

V(-8, 7)

b)

V(-8, 3)

c)

V(8, 10)

d)

V(16, -2)

26.

Does the equation open up or down?
Y = -3x² +7x - 2

a)

up

b)

down

c)

Neither; it opens to the right.

d)

Neither; it opens to the left.

27.

What is the name of this form:
y = ax² + bx + c

a)

vertex form

b)

standard form

c)

factored form

d)

zero form

28.

The graph of a quadratic function is called

a)

a line

b)

a hyperbola

c)

a parabola

d)

a cubic

29.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

30.

The formula
b² - 4ac
is called the

a)

quadratic formula

b)

factored form

c)

vertex formula

d)

the discriminant

31.

The discriminant finds the

a)

number of solutions

b)

x-intercepts

c)

y-value of vertex

d)

y-intercept

32.

If the discriminant is greater than zero, the equation has

a)

1 solution

b)

2 solutions

c)

no solutions

33.

If the discriminant is less than zero, the equation has

a)

1 solution

b)

2 solutions

c)

no solutions

34.

The equation y = x² - 12x + 36 has

a)

1 solution

b)

2 solutions

c)

no solutions

35.

The solutions of the quadratic equation x²-5x+6=0 are

a)

x=1 or x=-6

b)

x=3 or x=2

c)

x=-3 or x=2

d)

x=-1 or x=6

36.

The solution of the quadratic equation 4x² - 5x - 9 = 0 are

a)

x = -1 or x = 9/4

b)

x = 1 or x = 9/4

c)

x = 2 or x = 3

d)

x = -2 or x = -3

37.

Fill the blank space to complete the perfect square trinomial
x² - 18x + ____ = (x - ____)²

a)

9 and 3 respectively

b)

81 and 9 respectively

c)

-9 and -3 respectively

d)

-81 and -9 respectively

38.

Solve using the Quadratic Formula:

$2x^2+7x-15=0$

a)

$x=-1.5,\ 5$

b)

No Solution

c)

$x=-5,\ 1.5$

d)

$x=0.7,\ 5$

39.

Solve using the Quadratic Formula:
(Hint: Set the equation equal to 0)

$x^2+4x-40=-8$

a)

$x=-10,\ -4$

b)

$x=-4,\ 10$

c)

$x=-8,\ 4$

d)

$x=-4,\ 8$

40.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

41.

You are given the factored equation $\left(x+8\right)\left(x-2\right)=0$ . What is the next step to solve for x?

a)

Set $x+8=0$ and $x-2=0$

b)

Nothing, the solution is $x=8$ and $x=-2$

c)

Multiply $\left(x+8\right)\left(x-2\right)$

d)

Choose $x+8$ or $x-2$ and write a musical about them

42.

Solve $\left(x+2\right)\left(x-11\right)=0$ for x.

a)

$x=-2$ or $x=-11$

b)

$x=2$ or $x=-11$

c)

$x=2$ or $x=11$

d)

$x=-2$ or $x=11$

43.

Solve $\left(3x-7\right)\left(2x-8\right)=0$ for x

a)

$x=-\frac{7}{3}$ or $x=4$

b)

$null$ or $x=-4$

c)

$x=\frac{7}{3}$ or undefined

d)

$x=\frac{7}{3}$ or $x=4$

44.

Solve by factoring: $x^2-9x+20=0$ What does the factoring step look like?

a)

$(x-4)(x+5)=0$

b)

$(x+20)(x-9)=0$

c)

$(x-4)(x-5)=0$

d)

$(x+4)(x+5)=0$

45.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get the equation in factored form

b)

Find two numbers that add up to 6 and multiply to make -13

c)

Make it equal 0 by subtracting 3 from both sides

d)

Type it all into a calculator

46.

Solve using Zero-Product Property: $(2x-2)(5x+5)=0$

a)

x = -1

b)

x = -1 or x = 1

c)

x = 1

d)

x = -2 or x = 5

47.

Solve

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

48.

Solve the equation:
4x²+2x - 6 = 0

a)

x = 1 & -1.5

b)

x = -1 & 1.5

c)

x = (-2 ±√92)/8

d)

x = (-2 ± √100)/8

49.

x²-14x-51=0

a)

x= 17, -3

b)

x= -17, 3

c)

x= -17, -3

50.

4x²+7x-17=3x²+12x-3

a)

x= -7, -2

b)

x= 7, -2

c)

x= -7, 2

Chapter 9 Review - Quadratic Functions

Total questions: 50

Worksheet time: 2hrs 55mins

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