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REVIEW Test 3

Total questions: 75

Worksheet time: 4hrs 28mins

Name
Class
Date
1.
What is the correct name for the transformation from y=x2   to  y = -x2?
a)
Reflection
b)
Translation
c)
Dilation
d)
Transformer
2.
When you subtract a constant from y=x2  what happens to the graph? Eg  y = x2 - 2
a)
Graph moves UP
b)
Graph moves to the RIGHT
c)
Graph moves DOWN
d)
Graph moves to the LEFT
3.
Which way does the graph move if the equation looks like y = (x - 3)2 ?
a)
Graph moves UP 3 units
b)
Graph moves to the RIGHT 3 units
c)
Graph moves DOWN 3 units
d)
Graph moves to the LEFT 3 units
4.
Which way does the graph move if the equation looks like y = (x + 4)2 ?
a)
Graph moves UP 4 units
b)
Graph moves to the RIGHT 4 units
c)
Graph moves DOWN 4 units
d)
Graph moves to the LEFT 4 units
5.
What transformation occurred to y = x2 to y = (x - 5)2 - 3?
a)
The graph translated right 5 units and down 3 units
b)
The graph translated right 3 units and down 5 units
c)
The graph translated left 5 units and down 3 units
d)
The graph translated left 3 units and up 5 units
6.

Describe the horizontal shift for

y = 3(x + 4)2 - 1

a)

shifts 3 left

b)

shifts 4 left

c)

shifts 4 right

d)

shifts 1 left

7.

In vertex form, y= a(x-h)2+k, what effect does the k have on the graph?

a)

Translates vertically

b)

Translates horizontally

c)

Dilates (stretches)

8.

In vertex form, y= a(x-h)2+k, what effect does the k have on the graph?

a)

Translates vertically

b)

Translates horizontally

c)

Dilates (stretches)

9.
Which of the following equations shows the vertex form of a quadratic?
a)
x = -b/2a
b)
x = (-b ±√b2 - 4ac)/2a
c)
y = ax2 + bx + c
d)
y = a(x - h)2 + k
10.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
11.
Determine the vertex of the parabola y=5(x-2)2–7
a)
(5, -7)
b)
(-2, -7)
c)
(2, -7)
d)
(-7, -2)
12.
Given the equation for this parabola:
 y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
13.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
symmetrical point for the vertex
14.
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
15.
Which equation has a vertex of (-3, 4)?
a)
y = 2(x+3)2 + 4
b)
y = (x+3)2 - 4
c)
y = (x-3)2 + 4
d)
y = 2(x - 3)2 + 4
16.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
17.
Transformation: 
Which of the following describes the transformation of the graph g(x) = x2 + 5 from the parent function? 
a)
Translate 5 units up
b)
Translate 5 units down
c)
Translate 5 units to the right
d)
Translate 5 units to the left.
18.
Transformation: 
Which describes the transformation of the graph f(x) = x2 to the graph of g(x) = 5x2 ?
a)
The graph of g(x) is wider.
b)
The graph of g(x) is narrower
c)
The graph of g(x) reflects
d)
The graph of g(x) is to the right
19.

Which quadratic equation models the parabola shown?

a)

y = (x-2)(x-5)

b)

y = (x+2)(x+5)

20.

Which quadratic equation models the parabola shown?

a)

y = (x-2)(x+5)

b)

y = (x+2)(x+5)

c)

y = -(x-2)(x-5)

d)

y = -(x+2)(x+5)

21.

Which quadratic equation models the parabola shown below?

a)

y = 0.25(x-2)(x+2)

b)

y = -0.25(x-2)(x+2)

c)

y = 4(x-2)(x+2)

22.

Which quadratic equation models the parabola shown?

a)

y = 2x(x-3)

b)

y = 2x(x+3)

c)

y = (x+1)(x+3)

d)

y = (x-1)(x+3)

23.

What are the zeros of the quadratic shown in the graph?

a)

x = 0

b)

x = 2 and x = -2

c)

x = -5 and x = 5

d)

There are no real zeros

24.

What are the x-intercepts of the quadratic?

a)

(2, 0) and (4, 0)

b)

(-2, 0) and (-5, 0)

c)

(2, 0) and (5, 0)

d)

(-2, 0) and (-4, 0)

25.

Which graph below matches up with the equation:

y = -⅕(x+6)(x+1)

a)
b)
c)
d)
26.

Which graph below matches up with the equation?

y = ⅕(x+6)(x+1)

a)
b)
c)
d)
27.

Which graph below matches up with the equation?

y = -⅕(x-6)(x-1)

a)
b)
c)
d)
28.

Which graph matches up with the equation?

y = ⅕(x-6)(x-1)

a)
b)
c)
d)
29.

Write the following quadratic function in graphing/vertex form by completing the square...


y = x2 + 8x - 1

a)

y = (x + 4)2 - 17

b)

y = (x + 4)2 - 16

c)

y = (x + 4)2 - 9

d)

y = (x + 4)2 - 15

30.

Write the following quadratic function in graphing/vertex form by completing the square...


y = x2 + 10x + 23

a)

y = (x + 5)2 - 2

b)

y = (x + 5)2 + 2

c)

y = (x + 5)2 + 13

d)

y = (x + 5)2 - 13

31.

Write the following quadratic function in graphing/vertex form by completing the square...


y = x2 - 10x + 18

a)

y = (x - 5)2 + 7

b)

y = (x - 5)2 - 7

c)

y = (x + 5)2 + 7

d)

y = (x + 5)2 - 7

32.

Write the following quadratic function in graphing/vertex form by completing the square...


y = x2 - 2x - 3

a)

y = (x - 1)2 + 4

b)

y = (x - 1)2 - 4

c)

y = (x - 1)2 - 2

d)

y = (x - 1)2 + 5

33.

Write the following quadratic function in graphing/vertex from by completing the square...


y = x2 - 6x - 3

a)

y = (x - 3)2 - 12

b)

y = (x - 3)2 - 6

c)

y = (x - 3)2 + 6

d)

y = (x - 3)2 + 3

34.

Write the following quadratic expression in graphing/vertex form by completing the square...


y = x2 - 20x + 104

a)

y = (x + 10)2 + 4

b)

y = (x - 10)2 - 4

c)

y = (x - 10)2 + 4

d)

y = (x + 10)2 - 4

35.

Write the equation of the line through the points (8, −7) and (−2, 8).

a)

y = 3/2x + 11

b)

y = −3/2x + 11

c)

y = −3/2x + 5

d)

y = 3/2x − 19

36.

Write the equation of the line through the points (4, 5) and (12, 9).

a)

y = 2x − 3

b)

y = 1/2x + 3

c)

y = 1/2x +7

d)

y = 2x − 15

37.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
38.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
39.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
40.
What is the slope in this picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
41.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.

(4, -7); m = -1/4

a)

y = -1/4(x - 4) - 7

b)

y = -1/4(x + 7) + 4

c)

y = 4(x - 4) - 7

d)

y = -1/4(x - 4) + 7

42.

Which of these represents point-slope form of a linear equation?

a)

y=a(x−h)+ky=a\left(x-h\right)+k

b)

Ax+By=CAx+By=C

c)

y=mx+by=mx+b

43.

Write the equation in point-slope form for the line that contains the points

(-2, -3), (4, 3)

a)

y -= 1(x - 2) + 3

b)

y = 1(x + 2) - 3

c)

y = -1(x + 2) + 3

d)

y = -1(x - 2) - 3

44.
There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?
a)
x + y = 15
4x + 2y = 44
b)
4x + 2y = 15
x + y = 44
c)
x = 2y + 44
4x = y + 15
d)
2x - 4y = 44
x - y = 15
45.
Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?
a)
4x + 6y = 3
13.5x - 13y = 6
b)
x + y = 4
x - y = 6
c)
4x + 6y = 13
3x + 7y = 13.5
d)
4x - 6y = 13
3x - 7y = 13.5
46.
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 
a)
x + y = 1550
y  = 4x
b)
x + y = 1550
y = x + 4
c)
y - x = 1550
y = 4x
d)
y = 1550 + x
y = x + 4
47.
Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?
a)
$5
b)
$10
c)
$15
d)
$20
48.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Write and solve a system to find the number of nachos and sodas sold.

a)

35 nachos, 52 sodas

b)

18 nachos, 69 sodas

c)

52 nachos, 35 sodas

d)

61 nachos, 26 sodas

49.
What are the x-intercept/s of the function? 
a)
(3,0)
b)
(-3,0)
c)
(9,0) & (-9,0)
d)
(-3, 0) & (3, 0)
50.
Solve for the values of x:
(x + 2)(x - 3) = 0
a)
{ 2, 3 }
b)
{ -2, -3 }
c)
{ 2, 3 }
d)
{ -2, 3 }
51.

Select the solutions to the equation

2x2 - 13x + 15 = 0

a)

x = 1.5

b)

x = 5

c)

x = - 6

d)

x = 2

52.

Select the solutions to the equation

4x2 + 11x + 7 = 0

a)

x = - 1.75

b)

x = 6

c)

x = - 1

d)

x = 1

53.

Select the solutions to the equation

x2 + 2x - 1 = 0

a)

x = 0.5

b)

x = -2.5

c)

x = -3

d)

x = 1

54.

Select the solutions to the equation

2x2 - 5x + 1 = 1.

**This one is tricky! Read the problem carefully!

a)

x = 0.3

b)

x = 2.2

c)

x = 0

d)

x = 2.5

55.
Which ordered pair could represent a y-intercept on a graph?
a)
(6, 0)
b)
(0, 4)
c)
(-1, 3)
d)
(2, 0)
56.

Find the y-intercept

3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

57.
From the equation y = 3x + 18,  what is the value of the x-intercept?
a)
-6
b)
6
c)
18
d)
3
58.
True or false:
The y-intercept of a function ALWAYS occurs where y is equal to zero.
a)
True
b)
False
59.
What is the x-intercept?
a)
12
b)
-3
c)
8
d)
0
60.
What is the x and y intercept for the following equation ?
4x - 10y = 20
a)
x - int = 4    
y-int = -10
b)
x-int = 5
y-int = 2
c)
x - int = 5
y int = -2
d)
x -int = 4
y -int = -10
61.

Which one of the following points is the y-intercept of the equation x2 + y2 = 49?

a)

This equation has no y - intercept

b)

(0,-7)

c)

(7, 0)

d)

(0,49)

62.

What is the y-intercept of the graph with equation

x2 + y2 = 1?

a)

(1, 1)

b)

(0, 0)

c)

(1,0)

d)

(0, -1)

63.

Determine the values of a, b, and c for the quadratic equation:

4x2 – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

64.
Solve Using the Quadratic Formula
 x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
65.

Solve using the quadratic formula.

a)

A

b)

B

c)

C

d)

D

66.

Solve using the quadratic formula

a)

A

b)

B

c)

C

d)

D

67.

Solve using the quadratic formula

a)

A

b)

B

c)

C

d)

D

68.

Solve using the quadratic formula

a)

A

b)

B

c)

C

d)

D

69.
Simplify
a)
5c² ∕ d⁴
b)
25c² ∕ d⁴
c)
5c² ∕ d²
d)
joe
70.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
71.

Sponge Bob says you should simplify (2x4y7)3

a)

6x7y10

b)

6xy32

c)

8x12y21

d)

8x7y10

72.

Simplify.

a)

A

b)

B

c)

C

d)

D

73.

 −2(6x2y)2yx(3y)2\frac{-2\left(6x^2y\right)^2y}{x\left(3y\right)^2}  

a)

 8x3y8x^3y  

b)

 −8x3y-8x^3y  

c)

 −8x3y−1-8x^3y^{-1}  

d)

 −8x2y-8x^2y  

74.

 8ab2c336a2bc2\frac{8ab^2c^3}{36a^2bc^2}  Simplify. 

a)

 bc4a\frac{bc}{4a}  

b)

 2bc9a\frac{2bc}{9a}  

c)

 2c6a\frac{2c}{6a}  

d)

 2c9ab\frac{2c}{9ab}  

75.

 15xzy3z−1(5xy)2\frac{15xzy^3z^{-1}}{\left(5xy\right)^2}  Simplify.

a)

 y5x\frac{y}{5x}  

b)

 3yz5x\frac{3yz}{5x}  

c)

 3y5x\frac{3y}{5x}  

d)

 3yzx\frac{3yz}{x}  

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