Free Printable Review for Final

1.

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

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

2.

Simplify:
(7 + 2i)(9 - 6i)

a)

75-24i

b)

63 - 24i - 12i²

c)

51 - 24i

d)

58 + 60i

3.

Simplify
√-25

a)

-5i

b)

5

c)

5i

d)

-5

4.

The expression (2 + 3i)² is equal to

a)

-5

b)

-5 + 12i

c)

13

d)

13 + 12i

5.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

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

9.

Solve the following quadratic equation: $x^2-6x-7=0$

a)

$x=7\ \ \ \&\ \ \ x=-1$

b)

$x=1\ \ \ \&\ \ \ x=-7$

c)

$x=0$

d)

$x=\frac{-7}{5}$

10.

Solve the following quadratic equation: $x^2-13x-30=0$

a)

$x=3\ \ \ \&\ \ \ x=10$

b)

$x=-3\ \ \ \&\ \ \ x=-10$

c)

$x=-2\ \ \ \&\ \ \ x=15$

d)

$x=2\ \ \ \&\ \ \ x=-15$

11.

x² = 121
What does x equal?

a)

11²

b)

11 and -11

c)

20 and 11

d)

12 and 1

12.

Solve.

a)

-2/3

b)

-2

c)

2

d)

no solution

13.

Solve. (2x-8)^2/3= 4

a)

x = 8, x= 0

b)

x = 8

c)

x = 7, x = -2

d)

no solution

14.

Solve. (3x-5)^1/4+3=4

a)

4/3

b)

2

c)

-2

d)

-4/3

15.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

16.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

17.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

18.

Solve |2x –3| + 5 =10.

a)

-1, 1

b)

-1, 4

c)

-1, -4

d)

1, 4

19.

What is the slope of the equation?
y = -3x + 4

a)

-3

b)

3

c)

4

d)

-4

20.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

21.

Consider the equation:
y=-x+4
Identify the slope and y-intercept.

a)

m=4, b=-x

b)

m=-x, b=4

c)

m=1, b=4

d)

m=-1, b=4

22.

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

23.

Write the equation of the line in slope-intercept form through the points (-6, -19) and (2, 5).

a)

y = -7/2x + 12

b)

y = 3x + 11

c)

y = -7/2x - 40

d)

y = 3x - 1

24.

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

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

25.

Write the equation in point-slope form for the line that contains the slope m = -5 and through the point (-3, 4).

a)

y - 3 = -5(x +4)

b)

y - 4 = -5(x + 3)

c)

y + 3 = 5(x - 4)

d)

y + 4 = 5(x - 3)

26.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

27.

The function shown in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

28.

Describe the transformation that occurred.

w(x) = f(x - 7)

a)

Down 7

b)

Up 7

c)

Right 7

d)

vertical compression

29.

Describe the transformation that occurred

k(x) = f(x) - 9

a)

vertical compression

b)

Down 9 units

c)

Left 9 units

d)

Right 9 Units

30.

What are the transformations?
y=(x-2)³+4

a)

Horz shift right 2 Vert shift up 4

b)

Horz shift left 2 Vert shift up 4

c)

Horz shift right 2 Vert shift down 4

d)

Horz shift left 2 Vert shift up 4

31.

Describe the transformation from dotted to solid.

a)

f(x + 5) + 3

b)

f(x +3) + 5

c)

f(x - 5) + 3

d)

f(x - 3) + 5

32.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

33.

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

34.

(2x³ + 5x² + 9) ÷ (x + 3)

a)

2x² - x + 3

b)

2x³ - x² + 3x

c)

2x² + 11x + 33 + 108/x+3

d)

2x² - 5x + 12

35.

Let f(x) = 4x^2 -33x -27. Is k = 9 a zero of the function?

a)

yes

b)

no

36.

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

37.

4x⁴+4x³-9x²-x+2 ÷ x-1

a)

4x³+8x²-7x-2

b)

4x³+19x²-x-2

c)

4x³+8x²-x-9

d)

4x³+8x²-x-2

38.

What are the zeros of the function $f\left(x\right)=3x\left(x-4\right)\left(x+5\right)$ ?

a)

$-4,\ 0,\ 5$

b)

$-4,\ 3,\ 5$

c)

$-5,\ -3,\ 4$

d)

$-5,\ 0,\ 4$

39.

What are the zeros of the function $g\left(x\right)=\left(x+6\right)\left(x-4\right)\left(x+2\right)$ ?

a)

$-6,\ -4,\ -2$

b)

$-4,\ 2,\ 6$

c)

$-6\ -2,\ 4$

d)

$2,\ 4,\ 6$

40.

In the function $p\left(x\right)=3x\left(x-6\right)^4\left(x+4\right)^3\left(x-5\right)^2$ which zero has a multiplicity of 3?

a)

$-4$

b)

$0$

c)

$5$

d)

$6$

41.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

a)

±1, 8

b)

±1, 2, 4, 8

c)

±1, 2, 4

d)

1, 2, 4, 8

42.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

a)

±1, 7, 1/3, 7/3

b)

±1, 7

c)

±1, 3, 7, 7/3

d)

±1, 3, 7, 1/3, 7/3

43.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

44.

Was the inverse function found correctly?

a)

no,

b)

yes

45.

Find the inverse of the function
f(x) = 3x − 5

a)

f^-1(x)=3x +5

b)

f^-1(x)=(x+5)/3

c)

f^-1(x)=3y-5

d)

f^-1(x)=3y+5

46.

Rewrite log₂8 = 3 in exponential form.

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

47.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

48.

Rewrite log_pt = m in exponential form.

a)

p^t = m

b)

t^m = p

c)

m^t = p

d)

p^m = t

49.

Write in logarithmic form.
5² = 25

a)

log₅2 = 25

b)

log₂25 = 5

c)

log₂₅5 = 2

d)

log₅25 = 2

50.

Write in exponential form.
log₂32 = 5

a)

2^-5 = 32

b)

2³² = 5

c)

2⁵ = 32

d)

32⁵ = 2

51.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

52.

Expand log₆(5x³/y).

a)

log₆5x³-log₆y

b)

log₆5+log₆x³-log₆y

c)

log₆5+3log₆x-log₆y

53.

Expand.

a)

1/3 log x + log y + log z

b)

1/3 log x + 1/3 log y + 1/3 log z

c)

1/3 log x - 1/3 log y - 1/3 log z

d)

3 log x + 3 log y + 3 log z

54.

Using the change of base rule, what is this logarithm equivalent to?

a)

A

b)

B

c)

C

d)

D

55.

Using the change of base rule, what is this logarithm equivalent to?

a)

A

b)

B

c)

C

d)

D

56.

Rewrite as an exponential: $\log_7\left(\frac{1}{49}\right)=-2$

a)

$7^{\frac{1}{49}}=-2$

b)

$\left(\frac{1}{49}\right)^{-2}=7$

c)

$7^{-2}=\frac{1}{49}$

d)

$\left(-2\right)^7=\frac{1}{49}$

57.

$\log\left(\frac{m^3}{n}\right)$

a)

logm-log3-logn

b)

3logm+logn

c)

3logm-logn

d)

3log(m-n)

58.

Solve the following system by substitution. What is the solution?

a)

(1, -2)

b)

(-2, 1)

c)

(-4, 1)

d)

(2, 1)

59.

Solve the system using any method.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

No solutions

d)

(6, 4)

60.

Solve the system of equations below:
9x - 4y = 1
-3x + 8y = -47

a)

(3, -7)

b)

(-3, 7)

c)

(-3, -7)

d)

(-7, -3)

61.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

62.

Subtract

a)

-5
-8
3
10

b)

-9
8
3
2

c)

5
-8
3
10

d)

-5
8
3
2

63.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

64.

Can the operation be performed?

a)

Yes

b)

No

c)

Sometimes

d)

only Mrs. Jordan knows

65.

Find B-A

a)

-3 1
7 -1

b)

1 0
1 -4

c)

-4 0
6 -1

d)

not possible because rows do not match columns

66.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

Review for Final

Total questions: 66

Worksheet time: 4hrs 10mins

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