Free Printable 3rd Nine Weeks Exam

1.

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

a)

horizontal shift right 5 units

b)

horizontal shift left 5 units

c)

vertical shift up 5 units

d)

vertical shift down 5 units

2.

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

a)

horizontal shift left 7 units

b)

horizontal shift right 7 units

c)

vertical shift up 7 units

d)

vertical shift down 7 units

3.

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

a)

Vertical stretch by a factor of 5

b)

Vertical shrink/compress by a factor of 5

c)

Reflect over x-axis

d)

Vertical shift up 5 units

4.

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

a)

Vertical Stretch by a factor of 2 and vertical shift up 4 units

b)

Vertical Shrink/Compress by a factor 2 and vertical shift up 4

c)

Vertical Stretch by a factor of 2 and horizontal shift left 4 units

d)

Vertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units

5.

If the blue is f(x)=x^2,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

6.

Which of the following quadratic functions has the WIDEST graph?

a)

f(x)= -3x²

b)

h(x)= 2x²

c)

g(x)= ¼x²

d)

p(x)= 4x²

7.

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

8.

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)

9.

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

10.

Does the graph of this equation open up or down?

f(x) = -(x + 3)² - 5

a)

up

b)

down

11.

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

12.

Does the following graph have a maximum or minimum.

a)

Maximum

b)

Minimum

13.

What is the vertex?

a)

(5,2)

b)

(2,5)

c)

(-2,5)

d)

(-5,2)

14.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

15.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

16.

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

a)

-a

b)

-b/a

c)

b/2a

d)

-b/2a

17.

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

a)

(0, -8)

b)

(0, 3)

c)

(-8, -7)

d)

(0, -7)

18.

What are the coordinates of the y-intercept?

a)

(-3, 0)

b)

(0, -3)

c)

(2, 1)

d)

y=-3

19.

The graph of a quadratic function is shaped like a U, but it can be upside down.

a)

True

b)

False

20.

The graph of a quadratic function is called __________ .

a)

a vertex

b)

an ellipse

c)

a parabola

d)

the axis of symmetry

21.

$f\left(x\right)\ =\ ax^2\ +\ bx\ +c\$ is the __________ form of the quadratic function.

a)

Factored

b)

Standard

c)

Vertex

d)

None of the above

22.

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

a)

coefficients

b)

variables

c)

quadratic terms

d)

none of the above

23.

In the quadratic expression, $f\left(x\right)\ =\ ax^2\ +\ bx\ +\ c$ , "c" represents the:

a)

Axis of symmetry

b)

vertex

c)

y-intercept

d)

x-intercept

24.

What is the green dashed line called?

a)

the roots or x-intercepts

b)

a parabola

c)

the axis of symmetry

d)

the x axis

25.

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

a)

x = $ax^2$

b)

x = $-\frac{b}{2a}$

c)

x = f(x)

d)

x = c

26.

$x^2+7x+12$

a)

(x + 3)(x + 4)

b)

(x + 6)(x + 2)

c)

(x - 3)(x - 4)

d)

(x + 1)(x + 12)

27.

$x^2+6x-27$

a)

(x - 9)(x + 3)

b)

(x + 9)(x - 3)

c)

(x + 3)(x + 3)

d)

(x + 9)(x + 3)

28.

$2x^2-15x+7$

a)

(2x + 1)(x - 7)

b)

(2x + 7)(x - 1)

c)

(2x + 1)(x + 7)

d)

(2x - 1)(x - 7)

29.

$x^2-\ 7x\ -18$

a)

(x + 9)(x + 2)

b)

(x - 9)(x - 2)

c)

(x - 9)(x + 2)

d)

(x + 9)(x - 2)

30.

$6x^2+11x+4$

a)

(6x + 1)(x + 4)

b)

(3x - 4)(2x - 1)

c)

(6x + 2)(x + 2)

d)

(3x + 4)(2x + 1)

31.

$x^2-20x+64$

a)

(x - 4)(x - 16)

b)

(x + 4)(x + 16)

c)

(x - 8)(x - 8)

d)

(x + 32)(x - 2)

32.

$x^2+12x-45$

a)

(x - 15)(x + 3)

b)

(x - 15)(x - 3)

c)

(x + 9)(x - 5)

d)

(x + 15)(x - 3)

33.

m² − 9m + 8

a)

(m + 1)(m − 8)

b)

(m − 1)(m + 8)

c)

(m − 1)(m − 8)

d)

(m + 1)(m + 8)

34.

x² − 16x + 63

a)

(x + 9)(x + 7)

b)

(x − 9)(x + 7)

c)

(x + 9)(x − 7)

d)

(x − 9)(x − 7)

35.

How many solutions can a quadratic have?

a)

1 solution

b)

3 solutions

c)

0 solutions

d)

2 solutions

36.

What can the roots to a quadratic equation be called?

a)

zeros

b)

solutions

c)

x-intercepts

d)

none of the choices

37.

What is the quadratic formula?

a)

b)

c)

d)

38.

Label the Graph with the Correct Key Features.

1. (a) 2. (b)

3. (c) 4. (d)

Choose from the below words

Y-Intercept

Zero

Vertex

39.

Determine if the following quadratic equations have a maximum or minimum.

$x^2-2$ : (a)

$x^2+2x-3$ : (b)

$-x^2-2$ : (c)

Choose from the below words

Minimum

Maximum

40.

Match the following in the vertex form of the quadratic equation.

$f\left(x\right)=a\left(x-h\right)^2+k$

a)

$f\left(x\right)$

1.

y

b)

a

2.

reflection, vertical stretch, or compression

c)

h

3.

horizontal translation

d)

k

4.

vertical translation

e)

x

5.

x-value

41.

y=x²

42.

$y=\frac{1}{4}x^2$

43.

y=-2(x-3)²

44.

Using the graph of the function $y=x^2-6x+9$ identify the following key features:

Vertex: (a) Min or Max? (b)

Zero(s): (c) Y-intercept: (d)

Choose from the below words

(3,0)

Min

3

(0,9)

0

(0,3)

(9,0)

Max

45.

Using the graph of the quadratic function $y=x^2-6x+9$ identify the following key features:

Axis of Symmetry: (a) Min/Max Value: (b)

Domain: (c) Range: (d)

Choose from the below words

x=3

0

All real numbers

$y\ge0$

y=3

3

$y\le0$

46.

Using the graph of the quadratic function $f\left(x\right)=-x^2+2x+8$ identify the following key features:

Vertex: (a) Min or Max? (b)

Zeros: (c) and (d) Y-intercept: (e)

Choose from the below words

(1,9)

Max

x=-2

x=4

(0,8)

Min

(8,0)

(9,1)

x=2

x=-4

47.

Using the graph of the quadratic function $f\left(x\right)=-x^2+2x+8$ identify the following key features:

Axis of Symmetry: (a) Min/Max Value: (b)

Domain: (c) Range: (d)

Choose from the below words

x=1

9

All Real Numbers

$y\le9$

1

y=1

$y\ge9$

48.

Using the graph of the quadratic function $g\left(x\right)=2x^2+4x$ identify the following key features:

Vertex: (a) Max/Min: (b)

Zeros: (c) and (d) Y-intercept: (e)

Choose from the below words

(-1,-2)

Min

x=-2

x=0

(0,0)

(-2,-1)

Max

x=2

49.

Using the graph of the quadratic function $g\left(x\right)=2x^2+4x$ identify the following key features:

Axis of Symmetry: (a) Max/Min Value: (b)

Domain: (c) Range: (d)

Choose from the below words

x=-1

-2

All real numbers

$y\ge-2$

$x\ge-2$

x=-2

50.

-2(x+3)²- 3

51.

Identify all five point on the graph for y=2(x+3)(x-1)

52.

Identify all five points on the graph for y=-(x+8)(x+2)

53.

Identify the a, h, and k terms in the following equation: $\left(x+4\right)^2-3$

a= (a)

h= (b)

k= (c)

Choose from the below words

1

-4

-3

-1

4

3

0

54.

Put the steps to Completing the Square in the correct order

a)

Move constants to one side

b)

add $\left(\frac{b}{2}\right)^2$ to both sides

c)

Factor the trinomial

d)

Take the square root of both sides.

e)

Solve both cases.

1)

2)

3)

4)

5)

55.

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

56.

Solve for x by taking the Square Root:

(x+6)²= 49

a)

x = 7 and 12

b)

x = ±7

c)

x = 1 and -13

d)

x = 43 and -55

57.

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

58.

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

59.

Put the steps to Completing the Square in the correct order

a)

Move constants to one side

b)

add $\left(\frac{b}{2}\right)^2$ to both sides

c)

Factor the trinomial

d)

Take the square root of both sides.

e)

Solve both cases.

1)

2)

3)

4)

5)

60.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

61.

Complete the square.
x² + 6x + ____

a)

x² + 6x + 9

b)

x² + 6x - 36

c)

x² + 6x + 36

d)

x² + 6x - 9

62.

Complete the square.
x² + 14x + ____

a)

x² + 14x - 196

b)

x² + 14x + 49

c)

x² + 14x - 49

d)

x² + 14x + 196

63.

Complete the square for the equation:

$x^2-24x+23=0$

a)

$\left(x+12\right)^2=121$

b)

$\left(x-12\right)^2=121$

c)

$\left(x+12\right)^2=144$

d)

$\left(x-12\right)^2=144$

64.

x² + 32x + (a) = (x+ (b) )²

Choose from the below words

256

1024

32

16

4

8

64

65.

Match the following

a)

x² + 16x + 64 =

1.

(x + 8)²

b)

x² - 16x + 64 =

2.

(x - 8)²

c)

x² + 8x + 16 =

3.

(x + 4)²

d)

x² + 4x + 4 =

4.

(x + 2)²

e)

x² - 4x + 4 =

5.

(x -2)²

66.

Complete the Square:

x² - 20x + (a)

67.

x² - 18x + (a) = (x - (b) )²

Choose from the below words

81

18

27

9

3

1

36

68.

Put the steps to solve the following quadratic function by completing the square in order.

$2x^2+4x-6=0$

a)

Subtract 6 from both sides to get variable terms on left and constants on right. Then, factor out a 2 on left.

b)

Add in magic number squared of 1 on left and 2(1^2) on right.

c)

Simplify equation to $2\left(x+1\right)^2=8$

d)

Divide both sides by 2

e)

Take square root of both sides of equation, then add 1 to both sides to get solution of -3 and 1

1)

2)

3)

4)

5)

69.

When do you use the plus or minus symbol?
±

a)

After taking the square root of both sides

b)

After adding the square to both sides

c)

After taking half of b

d)

After setting the equation equal to zero

70.

What number should replace the . . . ?

$x^2+4x-12=0$

$x^2+4x=12$

$x^2+4x+\ldots\ =12\ +\ldots$

(a)

71.

What should the next step be?

$x^2+4x-12=0$

$x^2+4x=12$

$x^2+4x+4\ =12\ +4$

$\left(x+2\right)\left(x+2\right)=16$

$\left(x+2\right)^2=16$

a)

Take the square root

b)

Subtract 2 from both sides

c)

Expand (x+2)(x+2)

d)

Move 16 back to the left side and set equation = 0

72.

Factor completely: x²+16x+64

a)

(x+4)(x+16)

b)

(x-8)(x-8)

c)

(x+2)(x+32)

d)

(x+8)(x+8)

73.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

74.

$\left(11-3i\right)\left(2+i\right)$

a)

$22-3i$

b)

$19-5i$

c)

$25+5i$

d)

$3+22i$

75.

$3i\left(4-5i\right)$

a)

$-12-15i$

b)

$15+12i$

c)

$12+15i$

d)

$-15+12i$

76.

$\left(2+i\right)^2$

a)

$5$

b)

$4-i$

c)

$5+4i$

d)

$3+4i$

77.

$\left(5-6i\right)\left(5+6i\right)$

a)

$61$

b)

$-11-60i$

c)

$11$

d)

$11+60i$

78.

$\left(7i\right)\left(3i\right)\left(2i\right)$

a)

$-42$

b)

$42$

c)

$-42i$

d)

$42i$

79.

$\left(3-5i\right)\left(2+5i\right)$

a)

$31+5i$

b)

$19+5i$

c)

$6-25i$

d)

$11-25i$

80.

$4\left(3-7i\right)$

a)

$28+12i$

b)

$12+28i$

c)

$28-12i$

d)

$12-28i$

81.

$\left(3-7i\right)^2$

a)

$49+9i$

b)

$58+40i$

c)

$-40-42i$

d)

$9+49i$

82.

$3i\left(4-5i\right)$

a)

$-12-15i$

b)

$15+12i$

c)

$12+15i$

d)

$-15+12i$

83.

$\left(2+i\right)^2$

a)

$5$

b)

$4-i$

c)

$5+4i$

d)

$3+4i$

84.

$\left(5-6i\right)\left(5+6i\right)$

a)

$61$

b)

$-11-60i$

c)

$11$

d)

$11+60i$

85.

a)

A

b)

B

c)

C

d)

D

86.

a)

A

b)

B

c)

C

d)

D

87.

A complex number can be expressed as a + bi. What does a represent?

a)

the real part of the complex number

b)

the imaginary part of the complex number

c)

depends on the sign of the number

d)

the square root of the complex number

88.

Simplify:
3√-81

a)

-27

b)

3i√3

c)

27i

d)

9i

89.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

90.

If $x^2=9$ , then

a)

x equals 3 only

b)

x equals -3 only

c)

$x=\pm3$

d)

$x=\pm9$

e)

x equals 9 only

91.

The imaginary number i equals

a)

$-1$

b)

$\sqrt[]{-1}$

c)

$1$

d)

$\sqrt[]{1}$

e)

Any number; i is a variable.

92.

Match the following problems with their correct answer

a)

$x^2=-36$

1.

a. $x=\pm6i$

b)

$x^2=36$

2.

d. $x=\pm6$

c)

$x^2=-100$

3.

b. $x=\pm10i$

d)

$x^2=100$

4.

c. $x=\pm10$

93.

$i^2=?$

(a)

94.

Which of the following is a complex number in standard form? Select all that apply.

a)

$3+2i$

b)

$19i-10$

c)

$\frac{1}{3}-\frac{2}{5}i$

d)

$17i+16i^2$

e)

$4-3i$

95.

Match the following non-real roots with their complex number form: $a\cdot i$ where $a$ is a real number.

a)

$\sqrt[]{-25}$

1.

$5i$

b)

$\sqrt[]{-36}$

2.

$6i$

c)

$\sqrt[]{-100}$

3.

$10i$

d)

$\sqrt[]{-45}$

4.

$3\sqrt[]{5}\cdot i$

e)

$\sqrt[]{-\frac{144}{625}}$

5.

$\frac{12}{25}i$

96.

Which gives the STANDARD FORM for the complex number:

$15-\sqrt[]{-81}$

a)

$15+9i$

b)

$15-8i$

c)

$15-9i$

d)

$15-9\sqrt[]{-1}$

97.

Add the two complex numbers:

$\left(-7+16i\right)+\left(-18+13i\right)$

a)

$-23-5i$

b)

$-25-29i$

c)

$-25+29i$

d)

$-11+29i$

98.

Subtract the two complex numbers:

$\left(14+9i\right)-\left(23+11i\right)$

a)

$-9-20i$

b)

$37+20i$

c)

$-9+20i$

d)

$-9-2i$

99.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

100.

√-9

a)

-3i

b)

3

c)

3i

d)

-3

101.

√-81

a)

9i

b)

-9i

c)

-9

d)

9

102.

3i + 2i

a)

5i

b)

5i²

c)

6i

d)

-5

103.

Choose the correct answer for the operation pictured.

a)

7-13i

b)

7-i

c)

1-13i

d)

1-i

104.

Choose the correct answer for the operation pictured.

a)

7-3i

b)

7+13i

c)

-5+3i

d)

-5+13i

105.

Simplify: √-64

a)

8

b)

8i

c)

-8i

d)

-8

106.

Simplify: √-16

a)

-4

b)

4

c)

-4i

d)

4i

107.

Simplify: √-49

a)

7i

b)

7

c)

-7i

d)

-7

108.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

109.

Which of the following is equivalent to (3-5i)-(6+2i)

a)

-3-7i

b)

-3-3i

c)

3-3i

d)

9-7i

110.

Which of the following is equivalent to

(5-3i)+(-6+2i)?

a)

-1-5i

b)

-1-i

c)

11-i

d)

-30-6i

111.

What letter usually represent imaginary number?

a)

a

b)

i

c)

j

d)

x

112.

Find the difference.
(6 - 8i) - (1 - 3i)

a)

9 + 5i

b)

5 - 11i

c)

5 - 5i

d)

7 + 5i

113.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

114.

Simplify
3i - (4 + 7i)

a)

-4 + 10i

b)

21 - 12i

c)

4 - 10i

d)

-4 - 4i

115.

a)

10

b)

-10

c)

10i

d)

-10i

116.

Simplify:
(10+ 15i)-(48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

117.

Simplify.

a)

-5i

b)

5

c)

5i

d)

-5

118.

Which\ exression\ is\ equaivalent\ to:\ \left(3-\sqrt{-1}\right)\left(4\ +\ \sqrt{-25}\right)

a)

$\left(3-i\right)\left(4\ +\ 5i\right)$

b)

$\left(3\ -1\right)\left(4\ +5\right)$

c)

$\left(3\ -i\right)\left(4-5i\right)$

d)

$\left(3\ +i\right)\left(4\ -5i\right)$

119.

$\left(1-7i\right)^2$

(a)

120.

$-4i\cdot5i$

(a)

121.

$4i\left(-2-8i\right)$

(a)

122.

$-3+6i-\left(-5-3i\right)-8i$

(a)

123.

#5 Simplify $\sqrt[]{-147}$ = (a) (b) $\sqrt[]{}$ (c)

Choose from the below words

7

i

3

5

8

124.

#7 Simplify $\sqrt[]{-72}$ = (a) (b) (c)

Choose from the below words

6

i

$\sqrt[]{2}$

-6

$\sqrt[]{36}$

$\sqrt[]{6}$

$\sqrt[]{-2}$

125.

#8 Simplify $\sqrt[]{-12}$ = (a) (b) (c)

Choose from the below words

2

i

$\sqrt[]{3}$

3

$\sqrt[]{2}$

$\sqrt[]{-3}$

-2

6

126.

#11 Simplify $\sqrt[]{-128}$ = (a) (b)

Choose from the below words

8i

$\sqrt[]{2}$

8

-8

$\sqrt[]{-2}$

4

$\sqrt[]{4}$

127.

Match the following logo to their correct brand name.

a)

1.

McDonalds

b)

2.

Shell

c)

3.

Chanel

d)

4.

Play Station

e)

5.

Mercedes-Benz

128.

Graph -2+i

129.

Graph 2+3i

130.

Graph 2+2i and 3-4i

131.

Graph 5+61

2+4i

-1-i

132.

Graphing

-6+10i

2+2i

-3-5i

3+7i

133.

√-12= (a) ( (b) )=( (c) )( (d) ) ( (e) ) = 2i√3

Choose from the below words

$\sqrt[]{-1}$

$\sqrt[]{12}$

\sqrt[]{1}

-\sqrt[]{1}

$\sqrt[]{4}$

$\sqrt[]{3}$

\sqrt[]{6}

\sqrt[]{2}

134.

√-18= (a) ( (b) )=( (c) )( (d) ) ( (e) ) = 3i√2

Choose from the below words

$\sqrt[]{-1}$

$\sqrt[]{18}$

\sqrt[]{1}

-\sqrt[]{1}

$\sqrt[]{9}$

$\sqrt[]{3}$

\sqrt[]{6}

\sqrt[]{2}

\sqrt[]{-18}

135.

√-27= (a) ( (b) )=( (c) )( (d) ) ( (e) ) = 3i√3

Choose from the below words

$\sqrt[]{-1}$

$\sqrt[]{27}$

\sqrt[]{1}

-\sqrt[]{1}

$\sqrt[]{9}$

$\sqrt[]{3}$

\sqrt[]{6}

\sqrt[]{2}

\sqrt[]{-18}

136.

√-99= (a) ( (b) )=( (c) )( (d) ) ( (e) ) = 3i√11

Choose from the below words

$\sqrt[]{-1}$

\sqrt[]{1}

-\sqrt[]{1}

$\sqrt[]{9}$

$\sqrt[]{11}$

\sqrt[]{9^2}

-\sqrt[]{-11}

\sqrt[]{-11}

$\sqrt[]{99}$

-\sqrt[]{99}

137.

√-25= (a) ( (b) ) = (c)

Choose from the below words

$\sqrt[]{-1}$

-\sqrt[]{1}

-5i

$\sqrt[]{25}$

$\sqrt[]{-25}$

5i

5

i5

138.

Match the complex number with its STANDARD FORM:

$a+bi$

a)

$-29+\sqrt[]{-49}$

1.

$-29+7i$

b)

$\frac{2}{5}-\frac{\sqrt[]{-81}}{7}$

2.

$\frac{2}{5}-\frac{9}{7}i$

c)

$-131+\sqrt[]{-441}$

3.

$-131+21i$

d)

$242-\sqrt[]{-289}$

4.

$242-17i$

e)

$114-\sqrt[]{-243}$

5.

$114-9\sqrt[]{3}\cdot i$

139.

Match the following non-real roots with their complex number form: $a\cdot i$ where $a$ is a real number.

a)

$\sqrt[]{-25}$

1.

$5i$

b)

$\sqrt[]{-36}$

2.

$6i$

c)

$\sqrt[]{-100}$

3.

$10i$

d)

$\sqrt[]{-45}$

4.

$3\sqrt[]{5}\cdot i$

e)

$\sqrt[]{-\frac{144}{625}}$

5.

$\frac{12}{25}i$

140.

Simplify $\frac{4-9i}{4+14i}$ * (a) = (b) =

= (c)

Choose from the below words

$\frac{4}{15}-\frac{3i}{5}$

$-\frac{55}{106}-\frac{23i}{53}$

$\frac{4-14i}{4-14i}$

\frac{4+14i}{4-14i}

$\frac{16-56i-36i+126i^2}{16-56i+56i-196i^2}$

55-\frac{13i}{13}

\frac{-4-14i}{-4-14i}

-\frac{4-14i}{4-14i}

141.

Simplify $\frac{-4+12i}{-9+5i}$ * (a) = (b)

(c)

Choose from the below words

$\frac{-27-15i}{53}$

$\frac{48-44i}{53}$

$\frac{7}{4}-3i$

$\frac{108-124i}{169}$

$\frac{-9-5i}{-9-51}$

\frac{-9+5i}{-9+5i}

\frac{9-5i}{9-5i}

$\frac{36+20i-108i-60i^2}{81+45i-45i-25i^2}$

142.

Simplify $\frac{8+5i}{1-7i}$

a)

$\frac{-3+76i}{65}$

b)

$\frac{11+77i}{50}$

c)

$\frac{-11-5i}{7}$

d)

$\frac{-27+61i}{50}$

143.

Simplify $\frac{14}{7-6i}$ * (a) =

(b)

Choose from the below words

$\frac{98+84i}{85}$

$\frac{35+21i}{34}$

$\frac{7+7i}{6}$

$\frac{7+6i}{7+6i}$

\frac{7-6i}{7-6i}

\frac{-7+6i}{-7+6i}

144.

Simplify $-\frac{2}{i}$

(a)

Choose from the below words

$i$

$-i$

$4i$

$2i$

145.