Free Printable Grade 9 Term 2 Exam Reviewer

1.

What is the first step in solving THIS equation by completing the square?
$a^2+10a+21=0$

a)

Set the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add $a^2$ and 10a together

d)

Subtract the 21

2.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

3.

Solve the following quadratic equation by completing the square.

x² + 4x + 1 = 0

a)

x = -2 ± √3

b)

x = -3 ± √2

c)

x = 2 ± √3

d)

x = 2 ± √2

4.

Solve by completing the square s²+10s + 9 = 0.

Choose two values of s.

a)

s = 9

b)

s = -9

c)

s = 1

d)

s = -1

5.

Solve using quadratic formula s²+7s + 12 = 0.

Choose two values of s.

a)

s = 3

b)

s = -3

c)

s = 4

d)

s = -4

6.

Solve using quadratic formula $2x^2-3x+1=0$ .
Choose two values of x.

a)

$x=1$

b)

$x=\ -1$

c)

$x=\frac{1}{2}$

d)

$x=\frac{-1}{2}$

7.

Solve using quadratic formula $x^2+14x+5=0$ .
Choose two values of x.

a)

$x=-7+2\sqrt{11}$

b)

$x=-7-2\sqrt{11}$

c)

$x=7+2\sqrt{11}$

d)

$x=7-2\sqrt{11}$

8.

2x² + 5x - 1 = 0
What is the nature of the roots?

a)

Two unequal real roots

b)

Two equal real roots

c)

No real roots

9.

4x² - 7x + 4 = 0
What is the nature of the roots?

a)

2 distinct real roots

b)

Repeated real roots

c)

Two unreal roots

10.

2x² - 6x - 7 = 0
What are the sum and the product of roots?

a)

Sum = 3
Product = 7/2

b)

Sum = -3
Product = -7/2

c)

Sum = -3
Product = 7/2

d)

Sum = 3
Product = -7/2

11.

-2x² - 5x + 1 = 0
What are the sum and product of roots?

a)

Sum = 5/2
Product = 1/2

b)

Sum = - 5/2
Product = - 1/2

c)

Sum = - 5/2
Product = 1/2

d)

Sum = 5/2
Product = - 1/2

12.

Given the zeros below, what is the quadratic equation?

a)

y = 3x² +10x +8

b)

y = 2x² +11x +8

c)

y = 3x² +14x +8

d)

y = 2x² +5x +8

13.

Given the zeros below, what is the quadratic equation?

a)

y = x² +9x -8

b)

y = x² +9x +8

c)

y = x² -9x -8

d)

y = x² -9x-8

14.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

15.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

16.

What is the general form of a quadratic function?

a)

y = x²

b)

y = ax²+bx+c

c)

y = mx+b

d)

y = x

17.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

18.

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

19.

Compare the function y = 5x² to the parent function y = x²

a)

Wider

b)

Narrower

20.

Describe the transformation of y = (x - 4)²

a)

Shift UP

b)

Shift DOWN

c)

Shift LEFT

d)

Shift RIGHT

21.

Describe the transformation of y = 3(x - 3)² + 3

a)

Narrow, Right, Up

b)

Narrow, Left, Down

c)

Wide, Right, Up

d)

Wide, Left, Down

22.

If the blue is f(x) = x²then the red must be

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x-5)²

d)

g(x) = (x+5)²

23.

Which of the following is a transformation of the graph y = (x - 5)² ?

a)

Shifts right 5.

b)

Shifts left 5.

c)

Shifts up 5.

d)

Shifts down 5.

24.

Describe the transformations from $f(x)=x^2$ to $g(x)=1/4x^2+4$

a)

Reflected across x axis, up 4 units, right 2 units

b)

Vertical shrink by 1/4, up 4 units

c)

Vertical stretch by 4, up 4 units

d)

Vertical string by 1/4, left 4 units

25.

Comparing $h(x)=-5x^2-1$ to the parent function $f(x)=x^2$ , determine which transformation DOES NOT occur.

a)

Reflection over the x-axis

b)

Vertical stretch by a factor of 5

c)

Down 1 unit

d)

Reflected over the y-axis

26.

Which function's graph is the result of shifting the graph of $f(x)=-x^2-4$ 3 units down?

a)

$g(x)=-x^2-1$

b)

$g(x)=-4x^2-4$

c)

$g(x)=-1/3x^2-4$

d)

$g(x)=-x^2-7$

27.

Convert the equation $y=x^2-2x-5^{ }$ into vertex form.

a)

$y=(x-1)^2-6$

b)

$y=-(x-1)^2-6$

c)

$y=(x+1)^2-6$

d)

$y=-(x+6)^2-1$

28.

Which of the following shows
$f(x)=x^2+12x-2$ written in vertex form?

a)

f(x) = (x + 6)² + 142

b)

f(x) = (x + 6)² - 34

c)

f(x) = (x + 6)² - 38

d)

f(x) = (x + 6)² + 34

29.

What are the values of the constants a, b, and c in the given function?

$f\left(x\right)=2x^2-3x+4$

a)

a = 2; b = 3; c = 4

b)

a = 2; b = -3; c = 4

c)

a = 2; b = -3; c = -4

d)

cannot be determined

30.

$f\left(x\right)=-2x^2+8x-7$

What is the domain of the given quadratic function?

a)

all real values of x

b)

all real values of y

c)

depends on the opening

d)

cannot be determined

31.

If the area of the given rectangle is $39ft^2$ , find the value of x.

a)

5 ft

b)

11 ft

c)

25 ft

d)

10 ft

32.

Amelia runs a catering business. Based on her records, her profit is shown by

P = 2x² - 44x -150, where x is the number of meals she caters and P is her profit. When P is negative, Amelia loses money. What is the least number of meals Amelia needs to cater in order to begin making profit?

a)

-1

b)

5

c)

11

d)

25

e)

50

33.

What are the dimensions of the largest area of a pen that can be closed by a 64m fence?

a)

A. 16 m x 16 m

b)

B. 20 m x 20 m

c)

C. 12 m x 12 m

d)

D. 10 m x 10 m

34.

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function: P(t) = -15x² + 600x + 60.

What is the maximum profit you can make from selling tickets?

a)

$6060

b)

$20

c)

$600

d)

$10,250

35.

What is a parabola?

a)

The straight graph of a quadratic function

b)

The circular graph of a quadratic function

c)

The V-shaped graph of a quadratic function

d)

The U-shaped graph of a quadratic function

36.

What is the justification?

a)

Symmetric Property of Congruence

b)

Segment Addition Postulate

c)

Reflexive Property of Congruence

d)

Transitive Property of Congruence

37.

AB = AB

a)

Reflexive Property of Equality

b)

Transitive Property of Equality

c)

Symmetric Property of Equality

d)

Distributive Property of Equality

38.

What is the missing statement in the proof?

a)

Subtraction Property of Equality

b)

Substitution Property of Equality

c)

Transitive Property of Equality

d)

Symmetric Property of Equality

39.

If M is the midpoint of AB, then AM = MB.

a)

Addition Property of Equality

b)

Definition of Midpoint

c)

Reflexive Property of Equality

d)

Symmetric Property of Equality

40.

What is the missing statement in the proof?

a)

Addition Property of Equality

b)

Segment Addition Postulate

c)

Substitution Property of Equality

d)

Transitive Property of Equality

41.

What is reason #5?

a)

Transitive Property of Equality

b)

Reflexive Property of Equality

c)

Symmetric Property of Equality

d)

Prove

42.

What is reason #3?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

43.

What is reason #2?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

44.

What is reason #2?

a)

Substitution Property of Equality

b)

Multiplication Property of Equality

c)

Division Property of Equality

d)

Distributive Property of Equality

Grade 9 Term 2 Exam Reviewer

Total questions: 44

Worksheet time: 41mins

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