Free Printable review for 1st 9 weeks

1.

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x).

a)

14x-10

b)

-8x+2

c)

2x+2

d)

2x-2

2.

Complete the operation and evaluate.

a)

b)

c)

d)

3.

Perform the indicated operation.

a)

b)

c)

d)

4.

Perform the indicated operation and evaluate for the given value.

a)

b)

c)

d)

5.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $f\left(g\left(3\right)\right)$

a)

34

b)

71

c)

35

d)

142

6.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $g\left(f\left(-1\right)\right)$

a)

2

b)

15

c)

7

d)

-9

7.

If $f\left(x\right)=x^2$ and $g\left(x\right)=\sqrt{x}$ find $g\left(f\left(x\right)\right)$

a)

$x^4$

b)

$x$

c)

$\sqrt[]{x}$

d)

$x^2$

8.

When $f(x)=9-3x$ and $g(x)=5x-7$ , find $f(x)+g(x)$

a)

$14x-10$

b)

$-8x+2$

c)

$2x+2$

d)

$2x-2$

9.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

10.

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

a)

3x² +5

b)

x² +1

c)

3x² +1

d)

3x² +6

11.

∛8 =

a)

4

b)

3

c)

2

d)

512

12.

∛729

a)

9

b)

243

c)

81

d)

11

13.

Which is equivalent to ∛54 in simplest form?

a)

3∛6

b)

9∛2

c)

3∛2

d)

3∛3

14.

Simplify completely:

a)

b)

c)

d)

cannot be simplified

15.

Simplify the following:

a)

A

b)

B

c)

C

d)

D

16.

Simplify the following:

a)

A

b)

B

c)

C

d)

D

17.

Simplify the following:

a)

A

b)

B

c)

C

d)

D

18.

a)

y²z¹⁰√xy

b)

20yz√xy

c)

xy²z¹⁰√y

d)

yz⁶√xy²z²

19.

What is the 5th root of 1024?

a)

5120

b)

4

c)

160

d)

32

20.

Simplify

$^3\sqrt{81x^8y^5}$

a)

$3x^2y^{\ }\sqrt[3]{xy}$

b)

$9xy$

c)

$3x^2y^{\ }\sqrt[3]{3x^2y^2}$

d)

$27x^8y^5$

21.

Rewrite the following

∛x⁵

a)

x^3/5

b)

x^5/3

c)

x²

d)

x³⋅x⁵

22.

a)

8√6

b)

8√12

c)

12√6

d)

12√12

23.

You must show your work!

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

24.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

25.

Simplify the following radical: √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

26.

Simplify the radical...

√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

27.

√96

a)

4√6

b)

3√6

c)

6√5

d)

6√8

28.

a)

y²z¹⁰√xy

b)

20yz√xy

c)

xy²z¹⁰√y

d)

yz⁶√xy²z²

29.

Simplify: $-2\sqrt[]{5}+3\sqrt[]{5}$

a)

$-\sqrt[]{10}$

b)

$\sqrt[]{10}$

c)

$-\sqrt[]{5}$

d)

$\sqrt[]{5}$

30.

Simplify: $-13\sqrt[]{11}-13\sqrt[]{11}$

a)

$-26\sqrt[]{11}$

b)

$-\sqrt[]{11}$

c)

$-13\sqrt[]{11}$

d)

$-26\sqrt[]{22}$

31.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

32.

a)

Function

b)

Not a Function

33.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

34.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

35.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

36.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

37.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

38.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

39.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

40.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

41.

a)

8

b)

-24

c)

24

d)

-22

42.

a)

27

b)

21

c)

24

d)

72

43.

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

44.

Which equation below is a quadratic function translated left 4 units?

a)

y = x² + 4

b)

y = (x + 4)²

c)

y = (x - 4)²

d)

y = 4x²

45.

Which equation is an absolute value graph shifted right 5 units?

a)

y = |x - 5|

b)

y = |x + 5|

c)

y = |x| + 5

d)

y = -5|x|

46.

What type of function is shown?

a)

cube root

b)

square root

c)

logarithm

d)

exponential

47.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

48.

What is the range of the function graphed?

a)

-3 < x ≤ 6

b)

-3 < y ≤ 6

c)

2 < y ≤ 6

d)

2 < x ≤ 6

49.

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x).

a)

14x-10

b)

-8x+2

c)

2x+2

d)

2x-2

50.

$If\ f\left(x\right)=x^2+3x+2\ \ and\ \ g\left(x\right)=-3x+1$
Find $\left(f+g\right)\left(-2\right)$

a)

-3

b)

3

c)

-7

d)

7

51.

f(n)= n²+ 4n

g(n)= - n - 5

Find f(n) + g(n)

a)

n²+ 3n - 5

b)

-n³+ 2n - 7

c)

n³+ 3n - 3n

d)

n²- 3n - 5

52.

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

a)

x²+x+9

b)

x²-x+9

c)

x²-x

d)

x²-x+18

53.

$If\ f\left(x\right)=x^2-5\ \ and\ \ g\left(x\right)=2x-3$

Find\ \left(g\circ f\right)\left(2\right)

a)

-5

b)

-3

c)

0

d)

2

54.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

a)

182

b)

40

c)

61

d)

None of the Above

55.

f(x) = 4x + 8

g(x) = x + 3,

Find f(x) ⋅ g(x)

a)

4x²+ 24

b)

4x²+ 20x + 24

c)

4x²+ 12x + 24

d)

4x²+ 4x + 24

56.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

57.

What variable represents the range?

a)

x

b)

y

c)

d

d)

r

58.

What variable represents the domain?

a)

x

b)

y

c)

d

d)

r

59.

What is the range of the graphed linear function?
closed circle: $\le or\ge$
open circle: $<or>$

a)

$-6<x<5$

b)

$-6\le x\le5$

c)

$-8\le y\le8$

d)

$-8<y<8$

60.

What is the domain of the graph?

a)

x ≥ -6

b)

-7 ≤ x ≤ 3

c)

-8 ≤ x ≤ 4

d)

x ≤ -6

e)

All real numbers

61.

What is the RANGE?

a)

(-∞, ∞)

b)

(-2, ∞)

c)

[-2, ∞)

d)

(-∞, 0) U (0, ∞)

62.

What is the discriminant?

a)

b²-4ac

b)

b²/2a

c)

4ac

d)

b²±4ac

63.

If the discriminant is negative, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solutions

64.

If the discriminant equals 0, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

65.

If the discriminant is positive, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

66.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

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

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

67.

a)

√3

b)

±√3

c)

-3

d)

No real solution

68.

a)

±81

b)

±9

c)

±3

d)

No real solution

69.

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

70.

a)

-2, 4

b)

-8

c)

±8

d)

No real solution

71.

a)

±1.5

b)

1.5

c)

±1

d)

No real solution

72.

If the graph of a quadratic does not intercept the x axis at any point, then it has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

73.

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

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

74.

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

a)

75-24i

b)

63 - 24i - 12i²

c)

51 - 24i

d)

58 + 60i

75.

a)

10

b)

-10

c)

10i

d)

-10i

76.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

77.

Simplify
√-25

a)

-5i

b)

5

c)

5i

d)

-5

78.

Simplify:
3√-81

a)

-27

b)

3i√3

c)

27i

d)

9i

79.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

80.

Simplify -4√-63

a)

3i√7

b)

-12i√7

c)

-12√7

d)

36√7

81.

Simplify
2i - 7i + 10

a)

-5i+10

b)

5i

c)

9i+10

d)

5i+10

82.

Simplify
3i - (4 + 7i)

a)

-4 + 10i

b)

21 - 12i

c)

4 - 10i

d)

-4 - 4i

83.

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

84.

Multiply
(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

85.

Multiply
(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

86.

Multiply:
(4 – 3i)(7 + 2i)

a)

A. 22 - 13i

b)

B. 28 - 19i

c)

C. 34 - 13i

d)

D. -34 - 29i

87.

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

a)

$\frac{6+3i}{5}$

b)

$\frac{6+3i}{4}$

c)

$2+i$

d)

$2-i$

88.

Solve using Order of Operations.

2³+ (50 - 23) =

a)

24

b)

34

c)

35

d)

33

89.

If a=2 b=7, solve

(16 + a) - (b + 5) =

a)

11

b)

2

c)

6

d)

0

90.

What is the rule of this one step pattern?

53, 42, 31, 20, 9

a)

Divide 2

b)

Subtract 12

c)

Add 17

d)

Subtract 11

91.

What is the coordinate pair of the point?

a)

(3, 4)

b)

(2, 4)

c)

(4, 2)

d)

(4, 1)

92.

What is the algebraic expression for the phrase "5 more than 3 times a number?"

a)

8

b)

5 + 3x

c)

5 + 3 x 10

d)

3 + n + 5

93.

Simplify this expression (combine like terms):
x + x + x + x

a)

4 - x

b)

4x

c)

x

d)

x+4

94.

Evaluate the expression if a=3 and b=6.
4a - b

a)

43 - 6

b)

37

c)

1

d)

6

95.

Explain how to solve the following problem:
7X = 34

a)

Multiply both sides by 7

b)

Divide both sides by 7

c)

Add 7 to both sides

d)

Subtract 7 from both sides

96.

Write each product using an exponent.

8x8x8

a)

$8^3$

b)

$3^8$

c)

24

d)

512

97.

Solve: 56 = -7x

a)

8 = x

b)

-8 = x

c)

392 = x

d)

-392 = x

98.

Find 250% of 25

(a)

99.

What is 23% of 65?

a)

14.95

b)

15.95

c)

16

d)

13.75

100.

Sally invests $750 dollars into a bank that pays 7% interest.

What is the growth factor?

a)

750

b)

1.7

c)

1.07

d)

7%

101.

How many total votes were collected?

a)

5

b)

10

c)

15

d)

20

102.

2d + 7 = 9

a)

1

b)

7

c)

4

d)

3

103.

Solve 9 + 3x = 10

a)

2/3

b)

1/3

c)

-1/3

d)

4

104.

4x + 22 = -34

a)

-14

b)

-22

c)

16

d)

-20

105.

Solve 7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

106.

If my function rule is x + 3, what is the OUTPUT if the input is 4?

a)

4

b)

3

c)

7

d)

10

107.

In the ordered pair (4,9) which number is the Y COORDINATE?

a)

4

b)

9

c)

neither

d)

both

review for 1st 9 weeks

Total questions: 107

Worksheet time: 7hrs 47mins

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