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Worksheets

Chapter 3 &4 Quizizz

Total questions: 163

Worksheet time: 6hrs 4mins

Name
Class
Date
1.
Describe the transformation of y = (x - 4)2
a)
Shift UP
b)
Shift DOWN
c)
Shift LEFT
d)
Shift RIGHT
2.
Describe the transformation of y = x2 + 4
a)
Shift UP
b)
Shift DOWN
c)
Shift LEFT
d)
Shift RIGHT
3.
Compare the function y = 0.3x2 to the parent function y = x2
a)
Wider
b)
Narrower
4.
Match the equation to its description.
a)
Stretched by 4 and up 4
b)
Compressed by 4 and up 4
c)
Stretched by 4 and left 4
d)
Compressed by 4 and left 4
5.
Match the equation to its description.
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2
6.
If the blue is f(x)=x2, the red must be
a)
g(x)=(x+3)2
b)
g(x)=(x-3)2
c)
g(x)=x2+3
d)
g(x)=x2-2
7.
If the blue is f(x)=x2, then 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
8.
In the equation f(x)=5(x+3)2-10 what does the 5 do?
a)
Vertical stretch by 5
b)
Horizontal compress by 5
c)
Reflect
d)
Move up 5
9.
Which quadratic function is represented by the graph?
a)
y = 2(x - 4)2 + 5
b)
y = 2(x + 4)2 + 5
c)
y = -2(x - 4)2 + 5
d)
y = -2(x + 4)2 + 5
10.
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
a reflection across the line x = -4
b)
a reflection across the line y = -4
c)
a translation shifting f(x) 4 units to the left
d)
a translation shifting f(x) 4 units to the right
11.
Pablo throws a ball with a path of
h = -5(t - 2)2.
Maria throws a ball with a path of
h = -5(t - 2)2 + 10.
Which description is reasonable for the difference in the two equations?
a)
Maria throws the ball 10 times harder than Pablo does.
b)
Maria starts her ball at a height 10 feet higher than Pablo does.
c)
Pablo throws the ball 10 times harder than Maria does.
d)
Pablo starts his ball at a height 10 feet higher than Maria does.
12.
Match the description to its equation.
Reflected over the x-axis 
Stretched by a factor of 2
a)
A
b)
B
c)
C
d)
D
13.
Match the description to its equation.
Moves up 2
Moves left 4
a)
A
b)
B
c)
C
d)
D
14.
Match the equation to its description.
a)
Stretched by 2 and up 4
b)
Compressed by 2 and up 4
c)
Stretched by 2 and left 4
d)
Compressed by 2 and left 4
15.
Match the description to its equation.
Moves down 1
Moves right 1
a)
A
b)
B
c)
C
d)
D
16.
Which list orders the quadratic functions from narrowest to widest?
a)
y = x2 
y = 4x2 
y = 2x2 - 2  
y = 0.5 x2
b)
y = 0.5 x2  
 y = x2 
y = 2x2 - 2 
y = 4x2
c)
y = 4x2 
y = 2x- 2
 y = x2 
y = 0.5 x 
d)
 y = 2x2 - 2
 y = 4x2
 y = 0.5x2
 y = x2
17.
Which transformation will occur if f(x) = x2 is replaced with 2⋅f(x)?
a)
Nothing happens, it stays the same.
b)
Vertical stretch by a factor of 2.
c)
Vertical translation up by 2 units.
d)
Reflection across the x-axis.
18.
Which transformation will occur if f(x) = x2 is replaced with -f(x)?
a)
Nothing happens, it stays the same.
b)
Vertical stretch by a factor of 2.
c)
Vertical translation up by 2 units.
d)
Reflection across the x-axis.
19.
What is the y-intercept?
f(x) = -2x2 + 4x - 6
a)
(0, 6)
b)
(0, -6)
c)
(6, 0)
d)
(-6, 0)
20.
What is the axis of symmetry?
f(x) = x- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
21.
What is the vertex?
f(x) = -x- 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
22.

The standard form of a quadratic function is

a)

ax2 + bx + c

b)

a(x - h)2 + k

c)

y - y1 = m(x - x1)

d)

Ax + By = C

23.

Identify A, B, and C if y=3x2-8+5x

a)

A=3, B=5, C=-8

b)

A=3, B=-8, C=5

c)

A=3x2, B=5x, C=-8

d)

A=3x2 , B=-8, C=5x

24.

In the quadratic expression, f(x) = ax2 + bx + cf\left(x\right)\ =\ ax^2\ +\ bx\ +\ c , the values a, b, and c are

a)

coefficients

b)

variables

c)

quadratic terms

d)

none of the above

25.

What are the values of a, b, and c in the following quadratic equation:

y = 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

26.

In the quadratic expression, f(x) = ax2 + bx + cf\left(x\right)\ =\ ax^2\ +\ bx\ +\ c , the formula for the axis of symmetry is:

a)

x = ax2ax^2   

b)

x = b2a-\frac{b}{2a}  

c)

x = f(x)

d)

x = c

27.

What is the axis of symmetry of the following expression?

f(x) = x2- 4x + 5.

a)

x = 2

b)

x = -2

c)

x = 4

d)

x = -4

28.

Find the coordinates of the vertex (x, y) from the expression:

y = 2x2 + 4x + 6

a)

(-1,-4)

b)

(1,-4)

c)

(-1,4)

d)

(1,4)

29.
Factor:  x2 + 13x + 30
a)
(x + 3)(x + 10)
b)
(x + 5)(x + 6)
c)
(x + 2)(x + 15)
d)
(x + 1)(x + 30)
30.
Factor:  x2 - 2x - 24
a)
(x + 6)(x - 4)
b)
(x + 4)(x - 6)
c)
(x - 4)(x - 6))
d)
(x - 3)(x + 8)
31.
Factor:  x2 - 16x + 24
a)
(x + 2)(x - 14)
b)
(x - 2)(x - 14)
c)
(x + 14)(x - 2)
d)
(x - 4)(x - 6)
32.
Factor:  2x2 - 5x + 2
a)
(2x - 1)(x - 2)
b)
(2x + 1)(x - 2)
c)
(2x - 2)(x - 1)
d)
(2x + 2)(x - 1)
33.
Factor:  8x2 + 7x - 4
a)
(2x + 3)(2x - 5)
b)
(4x + 3)(x - 5)
c)
(2x - 3)(2x - 5)
d)
(4x - 3)(x + 5)
34.
Factor:  8x2 + 31x - 4
a)
(8x - 1)(x + 4)
b)
(4x - 1)(2x + 4)
c)
(2x - 1)(4x + 4)
d)
(8x - 2)(x + 2)
35.
Factor:  6x2 - 7x - 10
a)
(3x + 2)( 2x - 5)
b)
(3x - 2)( 2x + 5)
c)
(6x - 5)(x + 2)
d)
(6x + 5)(x - 2)
36.
Factor:  4x2 - 17x + 15
a)
(2x - 5)(2x - 3)
b)
(4x - 3)(x - 5)
c)
(4x - 5)(x - 3)
d)
(2x + 5)(2x - 3)
37.
Factor:  x2 + 29x + 100
a)
(x + 5)(x + 20)
b)
(x + 4)(x + 25)
c)
(x + 2)(x + 50)
d)
(x + 10)(x + 10)
38.
Factor:  2x2 - 13x + 20
a)
(2x - 10)(x - 2)
b)
(2x - 2)(x - 10)
c)
(2x - 4)(x - 5)
d)
(2x - 5)(x - 4)
39.
Factor:  9x2 + 3x - 2
a)
(3x + 1)(3x - 2)
b)
(3x + 2)(3x - 1)
c)
(3x - 1)(3x - 2)
d)
(3x + 2)(3x + 1)
40.
Factor:  6x2 + 9x
a)
(6x + 1)(x + 3)
b)
(3x + 1)(2x + 3)
c)
3x(2x + 3)
d)
6x(x + 3)
41.
Factor:  5x2 - 6x - 8
a)
(5x + 1)(x - 8)
b)
(5x + 8)(x - 1)
c)
(5x + 2)(x - 4)
d)
(5x + 4)(x - 2)
42.
Factor:  x2 - 10x + 24
a)
(x + 4)(x - 6)
b)
(x + 2)(x - 12)
c)
(x - 2)(x - 12)
d)
(x - 4)(x - 6)
43.
Factor:  x2 - 5x - 6
a)
(x - 6)(x - 1)
b)
(x - 2)(x + 3)
c)
(x - 3)(x + 2)
d)
(x + 1)(x - 6)
44.

Factor completely.
 5x220x5x^2-20x  

a)

5(x - 20)

b)

5x(x - 20)

c)

5x(x - 4)

d)

5(x - 4)

45.

Factor completely.
 10x4y5+14x3y48x2y10x^4y^5+14x^3y^4-8x^2y  

a)

 2(5x4y5+7x3y44x2y)2\left(5x^4y^5+7x^3y^4-4x^2y\right)  

b)

 2(8x4y5+12x3y46x2y)2\left(8x^4y^5+12x^3y^4-6x^2y\right)  

c)

 2xy(5xy+7xy4xy)2xy\left(5xy+7xy-4xy\right)  

d)

 2x2y(5x2y4+7xy34)2x^2y\left(5x^2y^4+7xy^3-4\right)  

46.

Factor completely.
 x2+10x+24x^2+10x+24  

a)

(x + 4)(x + 6)

b)

(x + 3)(x + 8)

c)

(x - 4)(x - 6)

d)

(x - 3)(x - 8)

47.

Factor completely.
 x216x^2-16  

a)

(x + 8)(x - 8)

b)

(x + 4)(x - 4)

c)

(x + 6)(x - 10)

d)

(x + 4)(x + 4)

48.

Factor completely.
 4x2494x^2-49  

a)

(2x + 7)(2x + 7)

b)

(2x + 7)(2x - 7)

c)

(2x - 7)(2x - 7)

d)

(4x + 7)(4x - 7)

49.

Factor completely.
 16x210016x^2-100  

a)

(4x + 10)(4x + 10)

b)

 4(4x225)4\left(4x^2-25\right)  

c)

4(2x + 5)(2x - 5)

d)

(4x + 10)(4x - 10)

50.

Factor completely.
 4x220x+254x^2-20x+25  

a)

(2x + 5)(2x - 5)

b)

(2x + 5)(2x + 5)

c)

(2x - 5)(2x - 5)

d)

(4x - 5)(x - 5)

51.

Factor completely.
 x2+12x+36x^2+12x+36  

a)

(x + 6)(x + 6)

b)

(x + 9)(x + 4)

c)

(x - 6)(x - 6)

d)

(x + 3)(x + 12)

52.

Factor completely.
 36x22536x^2-25  

a)

(6x + 5)(6x + 5)

b)

(6x + 5)(6x - 5)

c)

(6x - 5)(6x - 5)

d)

(18x + 5)(18x - 5)

53.

Factor completely.
 49x242x+949x^2-42x+9  

a)

(7x + 3)(7x - 3)

b)

(7x + 3)(7x + 3)

c)

(7x - 6)(7x - 3)

d)

(7x - 3)(7x - 3)

54.

Factor completely.
 36x4100x236x^4-100x^2  

a)

(6x + 5)(6x + 5)

b)

(6x + 5)(6x - 5)

c)

 4x2(3x+5)(3x5)4x^2\left(3x+5\right)\left(3x-5\right)  

d)

 4x2(9x225)4x^2\left(9x^2-25\right)  

55.


Factor completely.
 x219x+48x^2-19x+48  

a)

(x + 24)(x + 2)

b)

(x - 3)(x - 16)

c)

(x + 3)(x + 16)

d)

(x - 24)(x - 2)

56.
Which of the following is NOT a quadratic function
a)
f(x) = -3x2
b)
f(x) = -5x - x2
c)
y = 3x3 - 4x + 5
d)
A = pi.r2
57.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

58.

Solve the equation by factoring.

a)

x = {1}

b)

x = {-1}

c)

x = { }

d)

no solution

59.

Solve the equation by factoring.

a)

x = {-5,-3}

b)

x = {5,-3}

c)

x = {-5,3}

d)

x = {5,3}

60.

How many solutions can a quadratic have?

a)

1 solution

b)

3 solutions

c)

0 solutions

d)

2 solutions

61.

What can the roots to a quadratic equation be called?

a)

zeros

b)

solutions

c)

x-intercepts

d)

none of the choices

62.

What is the quadratic formula?

a)
b)
c)
d)
63.

What is the axis of symmetry formula?

a)

y = mx+b

b)

y = ax2+bx+c

c)

b2 - 4ac

d)

x = -b/2a

64.

Solve the equation using the quadratic formula.


x2 + 7x = x - 10

a)

-6/2 + √4

b)

-6/2 - √4

c)

no solution

d)

65.

Solve the equation using the quadratic formula.


4x2 +9x = 12x

a)

x = {0, 3/4}

b)

x = {0, -3/4}

c)

x = {0, 4/3}

d)

no solution

66.

Use the discriminant to find the number of solutions for the following equation.


y = x2 +10x + 25

a)

2 solutions

b)

1 solution

c)

0 solutions

67.

Use the discriminant to find the number of solutions for the following equation.


y = -3x2 +5x - 8

a)

2 solutions

b)

1 solution

c)

0 solutions

68.

Which value is the vertex?

a)

(-4, 0)

b)

(-1, -9)

c)

(0, -8)

d)

(2, 0)

69.

Which value is the y-intercept?

a)

(-4, 0)

b)

(-1, -9)

c)

(0, -8)

d)

(2, 0)

70.

Does this graph have a maximum or a minimum?

a)

maximum

b)

minimum

c)

I am not sure.

d)

neither

71.

What is the equation for standard form?

a)

y = x2 + bx + c

b)

y = ax2 + bx + c

c)

y = mx + b

d)

Ax + By = C

72.
The positive real root of the equation : 64x2 - 1 = 0 is ______
a)
8
b)
c)
1⁄16
d)
1⁄4
73.
Can both the roots of quadratic equation be zero?
a)
Yes. Possible
b)
NO. Not possible
74.
The non-zero root of the equation 3x - 5x2 = 0 is_____
a)
3⁄5
b)
5⁄3
c)
-3⁄5
d)
-5⁄3
75.
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
76.
To complete the perfect square trinomial in the expression x2-22x+_____, we need to add
a)
11
b)
44
c)
121
d)
144
77.
In the quadratic formula, the expression
b2-4ac is called
a)
discrim
b)
determinant
c)
discriminant
d)
none of these
78.
In the expression 4x2-5x+9 the leading coefficient is
a)
9
b)
-5
c)
-4
d)
4
79.
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
80.
If 3+2i is a solution of a quadratic equation, then other solution of this quadratic equation is
a)
2-3i
b)
3+2i
c)
1/3 -1/2i
d)
3-2i
81.
One solution of the quadratic equation
x2-7x+12=0 is
a)
x=3
b)
x=2
c)
x=-3
d)
x=-2
82.
Which of the followig trinomial is perfect square trinomial?
a)
x2+4x+9
b)
x2-22x-121
c)
x2+4x-9
d)
x2-22x+121
83.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

84.

Solve by factoring

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

85.

Solve the following quadratic equation: 4x29=04x^2-9=0  

a)

 x=32x=\frac{3}{2}  &  x=32x=-\frac{3}{2}  

b)

 x=23x=\frac{2}{3}  & x=23x=\frac{-2}{3}  

c)

 x=94x=\frac{9}{4}  

d)

 x=49x=\frac{4}{9}  

86.

Find the value of "c" that completes the square.

 x2+8x+cx_{ }^2+8x+c  

a)

-4

b)

4

c)

8

d)

16

87.

Find the value of "c" that completes the square.

 x2+28x+cx^2+28x+c  

a)

28

b)

14

c)

196

d)

56

88.

Find the value of "c" that completes the square.

 a222a+ca^2-22a+c  

a)

-121

b)

121

c)

11

d)

-11

89.

Find the value of "c" that completes the square.

 t2+7t+ct^2+7t+c  

a)

 72\frac{7}{2}  

b)

3.5

c)

 494\frac{49}{4}  

d)

 492\frac{49}{2}  

90.

Find the value of "c" that completes the square.

 k218k+ck^2-18k+c  



(a)  

91.

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

 n220n+cn^2-20n+c  

a)

 10; (n10)210;\ \left(n-10\right)^2  

b)

 100; (n10)2100;\ \left(n-10\right)^2  

c)

 100; (n+10)2100;\ \left(n+10\right)^2  

d)

 10; (n+10)210;\ \left(n+10\right)^2  

92.

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

 x22x+cx^2-2x+c  

a)

 1; (x2)21;\ \left(x-2\right)^2  

b)

 4; (x2)24;\ \left(x-2\right)^2  

c)

 1; (x1)21;\ \left(x-1\right)^2  

d)

 4; (x1)24;\ \left(x-1\right)^2  

93.

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

 p2+14p+cp^2+14p+c  

a)

 49; (p+7)249;\ \left(p+7\right)^2  

b)

 7; (p+7)27;\ \left(p+7\right)^2  

c)

 49; (p+14)249;\ \left(p+14\right)^2  

d)

 7; (p+49)27;\ \left(p+49\right)^2  

94.

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

 m2+4m+cm_{ }^2+4m+c  

a)

 4; (m+4)24;\ \left(m+4\right)^2  

b)

 2; (m+2)22;\ \left(m+2\right)^2  

c)

 2; (m+4)22;\ \left(m+4\right)^2  

d)

 4; (m+2)24;\ \left(m+2\right)^2  

95.

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

 b212b+cb^2-12b+c  

a)

 36; (b+6)236;\ \left(b+6\right)^2  

b)

 36; (b6)236;\ \left(b-6\right)^2  

c)

 6; (b36)26;\ \left(b-36\right)^2  

d)

 6; (b6)26;\ \left(b-6\right)^2  

96.
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
a)
the -4x
b)
the 9
c)
the x2
97.
What do you do to the b value to correctly complete the square?
a)
square it
b)
divide it by 2 and square the result
c)
divide it by 2 and take the square root of the result
d)
divide it by 2 only
98.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
99.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
100.
What value of c would make this a perfect sqaure trinomial?
x2 +8x + c
a)
4
b)
16
c)
64
d)
-16
101.
What value of c would make this a perfect square trinomial?
x2 + 2x + c
a)
2
b)
4
c)
-2
d)
1
102.
What value of c would make this a perfect square trinomial?
x- 12x + c
a)
36
b)
24
c)
144
d)
-36
103.
Complete the Square
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
104.
Find the missing value "c" to create a perfect square trinomial:
x2 + 26x + ___ 
a)
13
b)
136
c)
169
d)
26
105.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
106.
Solve by completing the square:
k2 − 12k + 23 = 0
a)
{6 + √13, 6 - √13}
b)
{-6 + √13, -6 - √13}
c)
{6 + √59, 6 - √59}
d)
{-6 + √59, -6 - √59}
107.
Solve by completing the square. Round.
x2 -4x = 5
a)
11 and -7
b)
1 and 3
c)
1.73 and -1.73
d)
5 and -1
108.
Solve by completing the square.
y2 + 10y = -9
a)
1 and -12
b)
-1 and -9
c)
1 and -9
d)
1 and -1
109.
Solve by completing the square.
x2 +12x = 5
a)
X = 6 + √41 or  6 − √41
b)
X= 35 or 47
c)
X = −6 + √41 or  −6 − √41
d)
X = √35 or √47
110.
Solve the equation by completing the square and then finding the roots. 
x2+ 6x - 4 = 36
a)
x = -7, 7
b)
x = 4, -10
c)
x = -4 +- √7
d)
x = 10, -4
111.
Solve by completing the square. Round.
x2 -4x = 5
a)
11 and -7
b)
1 and 3
c)
1.73 and -1.73
d)
5 and -1
112.

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

113.

Use the quadratic formula to find the solutions for

y = -x2 - 5x + 12

a)

No Real Solution

b)
c)
d)
114.

What should you do first in solving this equation?

x2 + 6x - 13 = 3

a)

Factor

b)

Write down: a = 1, b = 6, c = -13

c)

Subtract 3 from both sides.

d)

Add 3 to both sides.

115.
Solve using the quadratic formula.
2x2 - 9x - 35 = 0
a)
x = 7/2, x = -6
b)
x = -5/2, x =5
c)
x = -3/7, x =6
d)
x = -5/2, x = 7
116.
2x2-x -3=0
a)
x=-3/2  x=1
b)
x= 3/2 x= -1
c)
x= -3/2 x= -1
d)
x= 3/2 x= 1
117.

 2r2+3r1=02r^2+3r-1=0  


Solve using the quadratic equation.

4 lines
118.

 2m2=2m+122m^2=-2m+12  
Solve using the quadratic formula.

a)

 x=2,3x=2,-3  

b)

 x=3,2x=3,-2  

c)

 x=1±13x=1\pm\sqrt{13}  

d)

No Solution

119.

Solve using the quadratic formula...

9x2 = 4 + 7x

a)
b)
c)
d)

No solution

120.

Solve using the quadratic formula:

4x2 + 4x + 1 = 0

a)

x = -½

b)

x = -2

c)

x = 0

d)

x = ½

121.

What is this formula?

a)

This is the standard formula.

b)

This is the quadratic formula.

c)

This is the square root formula.

d)

This is the Pythagorean formula

122.

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

123.

Use the quadratic formula to find the solutions for

y = -x2 - 5x + 12

a)

No Real Solution

b)
c)
d)
124.
Solve Using the Quadratic Formula
 x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
125.
Identify the 'c' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
24
d)
-24
126.
a)
A
b)
B
c)
C
d)
D
127.
a)
A
b)
B
c)
C
d)
D
128.

What does the discriminant determine?

a)

Whether the graph goes up or down

b)

The vertex

c)

The number of Solutions

d)

The y-intercept

129.

If the discriminant is negative, how many solutions does the graph have?

a)

2

b)

1

c)

0

130.

If the discriminant is zero, how many solutions does the graph have?

a)

2

b)

1

c)

0

131.

Find the discriminant: 2a2 - 5a + 5 = 0

a)

44

b)

65

c)

-15

d)

-144

132.

How many real solutions does 2a2 - 5a + 5 = 0 have?

a)

2

b)

1

c)

0

133.

Find the discriminant: 3k2 + k - 1 = 0

a)

36

b)

-11

c)

13

d)

-20

134.

How many real solutions does 3k2 + k - 1 = 0 have?

a)

2

b)

1

c)

0

135.

Solve x2 - 2x - 8 = 0 using the quadratic formula

a)

x = 2 , -3

b)

x = 4 , -2

c)

x = 2 , -4

d)

x = 3 , -2

e)

No Solution

136.

Solve 4x2 - 2x + 4 = 0 using the quadratic formula

a)

x = 2, -1

b)

x = 3, -1

c)

x = 1, -2

d)

x = 1, -3

e)

No Solution

137.

Solve a2 - 4a + 4 = 0 using the quadratic formula

a)

2

b)

-2

c)

4

d)

-4

e)

No Solution

138.

Solve 2r2 - 3r -5 = 0 using the quadratic formula

a)

x = 1/2, -2

b)

x = 5/2, -1

c)

x = 2, -1/2

d)

x = 1, -5/2

e)

No Solution

139.

Solve 2p2 - 3a + 1 = 0 using the quadratic formula

a)

x = 5, -4

b)

x = 4, -5

c)

x = 1, 1/2

d)

x = -1/2, -1

e)

No Solution

140.

√-4

a)

-2

b)

-2i

c)

2

d)

2i

141.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
142.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
143.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
144.
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
145.
a)
A
b)
B
c)
C
d)
D
146.
a)
A
b)
B
c)
C
d)
D
147.
(-3-i)(6-i)
a)
-21-7i
b)
-19-3i
c)
-15-5i
d)
-17-9i
148.
Simplify.
a)
-5i
b)
5
c)
5i
d)
-5
149.
Multiply: 
(4 – 3i)(-7 – 2i)
a)
A.  -23 + 13i
b)
B.  -23 - 29i
c)
C.  -34 + 13i
d)
D.  -34 - 29i
150.
a)
10
b)
-10
c)
10i
d)
-10i
151.
√-81
a)
9i
b)
-9i
c)
-9
d)
9
152.
Find the product
(1+3i)(2-i)
a)
5+5i
b)
5-5i
c)
2-3i
d)
5+7i
153.
Simplify: 
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
154.

(-7+6i)2

a)

49+36i

b)

85

c)

13-84i

d)

13+84i

155.

(6+i)(-3+6i)

a)

3+7i

b)

-18+6i

c)

-24+6i

d)

-18+12i

156.

4+5i+6+6i

a)

21i

b)

20i+36

c)

24+30i

d)

10+11i

157.

(3+4i)(-8-i)

a)

-5+3i

b)

-24-4i

c)

-24-4i2

d)

-20

e)

-20-36i

158.
Simplify: 
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i  - 12i2
c)
51 - 24i
d)
58 + 60i
159.
Simplify:
√-108
a)
3i√6
b)
3i√20
c)
6i√3
d)
20i√3
160.
Simplify
2i - 7i + 10
a)
-5i+10
b)
5i
c)
9i+10
d)
5i+10
161.
Multiply
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
162.
i7
a)
i
b)
-i
c)
1
d)
-1
163.
i52
a)
i
b)
-i
c)
1
d)
-1