Free Printable A2 6th Six Weeks Test Review

1.

The name of all the possible inputs of a function:

a)

Domain

b)

Range

2.

The name of all of the possible outputs of a function:

a)

Domain

b)

Range

3.

Name this Function:

a)

Linear

b)

Quadratic

c)

Absolute Value

d)

Cubed Root

4.

Name this Function:

a)

Constant

b)

Quadratic

c)

Absolute Value

d)

Cubed Root

5.

Name this Function:

a)

Constant

b)

Quadratic

c)

Square Root

d)

Cubed Root

6.

Name this Function:

a)

Constant

b)

Linear

c)

Rational or Reciprocal

d)

Cubic

7.

Name this Function:

a)

Constant

b)

Linear

c)

Simple Rational

d)

Cubic

8.

Name this Function:

a)

Constant

b)

Linear

c)

Simple Rational

d)

Cubic

9.

Name this Function:

a)

Constant

b)

Quadratic

c)

Absolute Value

d)

Cubed Root

10.

What is the domain and range of this parent function?

a)

D: $\left(-\infty,\infty\right)$

R: $\left(-\infty,\infty\right)$

b)

D: $\left[-\infty,\infty\right]$

R: $\left[-\infty,\infty\right]$

c)

D: $\left[0,\infty\right)$

R: $\left[0,\infty\right)$

d)

D: $\left(-\infty,\infty\right)$

R: $\left[0,\infty\right)$

11.

Which parent function matches the graph?

a)

$y=\left|x\right|$

b)

$y=\sqrt[3]{x}$

c)

$y=x^2$

d)

$y=a\cdot b^x$

12.

Which parent function matches the graph?

a)

$f\left(x\right)=x$

b)

$f\left(x\right)=\left|x\right|$

c)

$f\left(x\right)=x^2$

d)

$f\left(x\right)=\sqrt[3]{x}$

13.

Identify the parent function of the graph.

a)

Quadratic

b)

Absolute Value

c)

Rational

d)

Cubic

14.

Which of the following parent functions have a range of $\left[0,\infty\right)$ ? SELECT ALL THAT APPLY!

a)

b)

c)

d)

15.

Identify the parent function of the graph.

a)

Square Root

b)

Rational

c)

Quadratic

d)

Logarithmic

16.

$f\left(x\right)=2\left(x-5\right)^3+4$ is an example of which parent function?

a)

Cubic

b)

Quadratic

c)

Absolute Value

d)

Logarithmic

17.

Which parent functions have asymptotes? SELECT ALL THAT APPLY!

a)

Rational

b)

Logarithmic

c)

Exponential

d)

Square Root

18.

What type of function is shown?

a)

Exponential

b)

Quadratic

c)

Linear

d)

Rational

19.

Which parent functions have minimums? SELECT ALL THAT APPLY

a)

Exponential

b)

Quadratic

c)

Absolute Value

d)

Square Root

20.

Which parent functions are symmetric about the y-axis? SELECT ALL THAT APPLY!

a)

Quadratic

b)

Cubic

c)

Rational

d)

Absolute Value

21.

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

22.

.
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

23.

What are the following transformations?
- f(x+2)

a)

reflection over the y axis and 2 units to the right

b)

reflection over the x axis and 2 units right

c)

reflection over the y axis and 2 units left

d)

reflection over the x axis and 2 units left

24.

Which equation describes the transformation of shifting f(x)=x³ four units down?

a)

x³+ 4

b)

x³- 4

c)

(x - 4)³

d)

(x + 4)³

25.

Which equation describes the transformation of shifting f(x)=x³ three units left?

a)

x³ + 3

b)

x³ - 3

c)

(x + 3)³

d)

(x - 3)³

26.

What is the equation of this graph?

a)

f(x) = (x + 2)² - 3

b)

f(x) = (x - 2)² - 3

c)

f(x) = |x + 2| - 3

d)

f(x) = |x - 2| - 3

27.

Which equation represents this graph.

a)

f(x)=(x - 4)² - 3

b)

f(x)=-(x - 4)² + 3

c)

f(x)=(x - 4)² + 3

d)

f(x)=-(x + 4)² + 3

28.

Which equation describes the transformation of shifting f(x)=x² two units right?

a)

x² + 2

b)

x² - 2

c)

(x + 2)²

d)

(x - 2)²

29.

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

a)

g(x)=x³+1

b)

g(x)=x³-1

c)

g(x)=(x-1)³

d)

g(x)=(x+1)³

30.

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²

a)

shifted up five units
reflection in x-axis

b)

shifted down five units
reflection in x-axis

c)

shifted left 5 units
reflection x-axis

d)

shifted right 5 units
reflection x-axis

31.

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

a)

Left 3 and up 5

b)

Right 3 and down 5

c)

Left 3 and down 5

d)

Right 3 and up 5

32.

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

a)

-f(x)

b)

f(-x)

c)

f^-1(x)

d)

f(2x)

33.

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

34.

Describe the transformation

a)

left 2 up 5

b)

right 2 up 5

c)

left 2 down 5

d)

right 2 down 5

35.

Tell how the function transformed from y =|x|
y = -2|x|

a)

Translated left 2 units

b)

Reflected over x-axis

c)

Stretched vertically and reflected over x-axis

d)

Compressed vertically and reflected over the x-axis

36.

a)

y = Ix + 2I - 1

b)

y = -Ix + 2I - 1

c)

y = -Ix - 2I - 1

d)

y = -Ix + 1I - 2

37.

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

a)

$y=-\left|x-15\right|-3$

b)

$y=-\left|x+15\right|-3$

c)

$y=\frac{1}{2}\left|x+3\right|-15$

d)

$y=\frac{1}{2}\left|x-3\right|-15$

e)

$y=\left|-x-15\right|-3$

38.

Describe the transformation(s) in the following function.

$f\left(x\right)=\frac{4}{5}\left|x+5\right|+2$

a)

Vertical stretch by a factor of $\frac{4}{5}$ ,

Shift left 5 units,

Shift down 2 units

b)

Vertical compression by a factor of $\frac{4}{5}$ ,

Shift right 5 units,

Shift up 2 units

c)

Vertical stretch by a factor of $\frac{4}{5}$ ,

Shift right 5 units,

Shift up 2 units

d)

Vertical compression by a factor of $\frac{4}{5}$ ,

Shift left 5 units,

Shift up 2 units

e)

Vertical compression by a factor of $\frac{4}{5}$ ,

Shift left 5 units,

Shift down 2 units

39.

Describe the transformation from the parent graph

a)

Reflect over x, right 3, down 4

b)

Reflect over y, right 3, down 4

c)

Reflect over x, right 3, up 4

d)

Reflect over y, left 3, down 4

40.

Match the equation with the graph:

a)

y = (x - 2)² + 4

b)

y = -(x - 4)² + 2

c)

y = -(x - 2)² + 4

d)

y = -(x + 2)² + 4

41.

Factor x²-14x+24

a)

(x-8)(x+3)

b)

(x+12)(x-2)

c)

(x+8)(x+3)

d)

(x-12)(x-2)

42.

Factor x²-6x+8

a)

(x-4)(x-2)

b)

(x+4)(x+2)

c)

(x-4)(x+2)

d)

(x+4)(x-2)

43.

8r³ + 16r²

a)

4r²(2r + 4)

b)

8r²(r + 2)

c)

8(r³ + r²)

d)

4(r³ + 2r²)

44.

w³ + 3w

a)

3w(1)

b)

w(w² + 3)

c)

w³(w + 3)

45.

2x³y⁸+ 6x⁴y² + 10x⁵y¹⁰ what is the GCF?

a)

2x³y²

b)

x³y²

c)

2

d)

-x³y²

46.

Factor:
x² - 9

a)

(x + 3)(x - 3)

b)

(x + 3)²

c)

(x - 3)²

d)

(x+3)(x+3)

47.

x²- 400

a)

( x - 200) ( x + 200)

b)

( x + 20) ( x + 20)

c)

Prime

d)

( x - 20) ( x + 20)

48.

x²+ 81

a)

Not Factorable

b)

( x - 9 ) ( x + 9 )

c)

( x + 9 ) ( x + 9 )

d)

( x - 9 ) ( x - 9 )

49.

Factor completely: 3x² - 7x + 2

a)

(x - 1) (3x + 2)

b)

(x - 2) (3x -1)

c)

(x - 1) (3x - 2)

d)

(x + 2) (3x + 1)

50.

Factor Completely: 2x² + x - 6

a)

(x + 2) (2x -3)

b)

(x - 6) (2x + 1)

c)

(x + 1) (2x - 6)

d)

(x - 2) (2x + 3)

51.

Factor Completely: 4x² - 20x + 25

a)

(4x - 25) (x -1)

b)

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

c)

(2x - 5)²

d)

(4x - 5) (x - 5)

52.

Factor completely: 2x² - 3x - 2

a)

(2x - 2)(x + 1)

b)

(2x + 1)(x - 2)

c)

(2x - 1)(x - 2)

d)

(2x - 1) (x - 1)

53.

Factor Completely: 3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

54.

The area of a rectangular pool is
x²+ 9x - 36.
The length is (x-3). What is a binomial expression that represents the width?

a)

(x + 12)

b)

(x + 9)

c)

(x - 12)

d)

(x + 3)

55.

Find the factors of
5x²+ 20x + 20

a)

5(x+2)(x+2)

b)

5(x-2)(x-2)

c)

5(x+2)(x-2)

d)

(5x+2)(x+2)

56.

Factor:
2n² + 3n - 9

a)

(2n - 9)(n + 1)

b)

2n + 3)(n + 3)

c)

(2n + 3)(n - 3)

d)

(2n - 3)(n + 3)

57.

Solve 2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

58.

Solve by factoring.
-4y² + 24y - 36 = 0

a)

-3

b)

7/2

c)

4

d)

3

59.

a)

±81

b)

±9

c)

±3

d)

No real solution

60.

25a² - b²

a)

(5a + b) (5a + b)

b)

ab(25a - b)

c)

ab(25a + b)

d)

(5a - b) (5a + b)

61.

x⁶ - 9

a)

(x + 3) (x⁵ - 3)

b)

(x²-3) (x² - 3) (x² + 3)

c)

(x³-3) (x³+3)

62.

9x²- 49y⁶

a)

( 3x + 7y³) (3x + 7y³)

b)

( 3x - 7y³) (3x + 7y³)

c)

( 3x - 7y³) (3x - 7y³)

d)

Not Factorable

63.

x⁴ - 36

a)

(x + 6)(x - 6)

b)

(x + 3)(x - 3)(x² + 6)

c)

cannot be factored

d)

(x² - 6)(x²+ 6)

64.

Factor 63x⁴ - 7x² + 28x

a)

7x(9x² - 7 + 4x)

b)

x(63x³ - 7x + 28)

c)

7x(9x³ - x + 4)

65.

Factor Completely: 14p²-24p-8

a)

(5p+3)(p-4)

b)

(3p-2)(p+10)

c)

2(7p-2)(p+2)

d)

2(7p+2)(p-2)

66.

Factor by grouping:
3x³-x²+6x-2

a)

(x²+2)(3x+1)

b)

(x²+2)(3x-1)

c)

(3x³+6x)(x²-2)

d)

none of the aboe

67.

Factor: 8x³ - 1

a)

(2x - 1)(4x² + 2x + 1)

b)

(2x + 1)(4x² - 2x + 1)

c)

(2x - 1)(4x² - 2x - 1)

d)

(2x + 1)(4x² +2x + 1)

68.

Factor: 27x³ + 8

a)

(3x + 2)(9x² - 6x + 4)

b)

(9x + 2)(3x² + 18x + 4)

c)

(3x²+4)(9x + 2)

d)

(27x + 8)(x² - 216x + 64)

69.

7r³- 8r²+ 42r - 48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

70.

Factor Completely:
x⁴-9x²

a)

x²(x+3)(x-3)

b)

(x²+3x)(x²-3x)

c)

(x²+9)(x-3)(x+3)

d)

x²(x²-9)

71.

Factor the polynomial completely.

$x^3-8x^2+7x-56$

72.

Which method(s) would you use to factor the polynomial?

$x^3-8x^2+7x-56$

a)

GCF

b)

Difference of Squares

c)

Sum/Difference of Cubes

d)

Grouping

e)

Trinomial Factoring (X-method)

73.

Factor the polynomial completely.

$3x^4-12x^2$

74.

Which method(s) would you use to factor the polynomial?

$3x^4-12x^2$

a)

GCF

b)

Difference of Squares

c)

Sum/Difference of Cubes

d)

Trinomial Factoring (X-method)

e)

Grouping

75.

Factor the polynomial completely.

$x^3-1$

76.

Which method(s) would you use to factor the polynomial?

$x^3-1$

a)

GCF

b)

Difference of Squares

c)

Sum/Difference of Cubes

d)

Grouping

e)

Trinomial Factoring (X-method)

77.

Factor the polynomial completely.

$x^2-8x+12$

78.

Which method(s) would you use to factor the polynomial?

$x^2-8x+12$

a)

GCF

b)

Difference of Squares

c)

Sum/Difference of Cubes

d)

Grouping

e)

Trinomial Factoring (X-method)

79.

Factor the polynomial completely.

$25x^2-36$

80.

Which method(s) would you use to factor the polynomial?

$25x^2-36$

a)

GCF

b)

Difference of Square

c)

Sum/Difference of Cubes

d)

Trinomial Factoring

e)

Grouping

81.

Factor the polynomial completely.

$3x^2+10x+8$

82.

Which method(s) would you use to factor the polynomial?

$3x^2+10x+8$

a)

GCF

b)

Difference of Squares

c)

Sum/Difference of Cubes

d)

Grouping

e)

Trinomial Factoring (X-method)

83.

Factor the polynomial completely.

$8x^3+729$

84.

Which method(s) would you use to factor the polynomial completely?

$8x^3+729$

a)

Sum/Difference of Cubes

b)

Difference of Squares

c)

Trinomial Factoring

d)

Grouping

e)

GCF

85.

Graph the function with its parent function.

$f\left(x\right)=4x^2$

86.

Graph the function with its parent function.

$g\left(x\right)=3x-1$

87.

Write a function $g$ whose graph represents the indicated transformation of the graph of $f$ .

88.

Simplify the expression.

$\frac{8x+64}{\left(x+8\right)\left(x+12\right)}$

89.

Simplify the expression.

$\frac{x}{2x+7}-\frac{1}{3}$

90.

Simplify the expression.

$\frac{10x}{x-11}-\frac{110}{x-11}$

91.

Simplify the expression.

$\frac{56x-8x^2}{x^2-11x+28}\cdot\frac{x^2+6x-40}{-8x}$

92.

Simplify the expression.

$\frac{5x}{-9x-54}\div\frac{x^2-4x}{x^2+2x-24}$

93.

The name of all the possible inputs of a function:

a)

Domain

b)

Range

94.

The name of all of the possible outputs of a function:

a)

Domain

b)

Range

95.

What family does the following function belong to?

$f\left(x\right)=\frac{5}{3}x+10$

a)

Linear

b)

Quadratic

c)

Cubic

d)

Square Root

e)

Cube Root

96.

What family does the following function belong to?

$f\left(x\right)=3.4\left(x-7\right)^2$

a)

Linear

b)

Quadratic

c)

Cubic

d)

Square Root

e)

Cube Root

97.

What family does the following function belong to?

$h\left(x\right)=\frac{2}{5}\left|x-2\right|+2$

a)

Linear

b)

Quadratic

c)

Cubic

d)

Absolute Value

e)

Cube Root

98.

What family does the following function belong to?

$f\left(x\right)=5\sqrt[]{x+2}$

a)

Linear

b)

Quadratic

c)

Cubic

d)

Square Root

e)

Cube Root

99.

$f\left(x\right)=2\left(x-5\right)^3+4$ is an example of which type of function?

a)

Cubic

b)

Quadratic

c)

Absolute Value

d)

Logarithmic

e)

Linear

100.

What family does the following function belong to?

$f\left(x\right)=-\sqrt[3]{-\frac{1}{4}x}+1$

a)

Linear

b)

Quadratic

c)

Cubic

d)

Square Root

e)

Cube Root

101.

What family does the following function belong to?

$f\left(x\right)=\frac{x^2+9x+10}{3x^3-9x^2}$

a)

Linear

b)

Rational

c)

Cubic

d)

Square Root

e)

Cube Root

102.

What family does the following function belong to?

$f\left(x\right)=8\left(9\right)^x+3$

a)

Linear

b)

Quadratic

c)

Cubic

d)

Exponential

e)

Cube Root

103.

What family does the following function belong to?

$r\left(t\right)=-\log_2\left(t+5\right)-9$

a)

Linear

b)

Quadratic

c)

Cubic

d)

Logarithmic

e)

Cube Root

104.

Which parent functions have asymptotes? SELECT ALL THAT APPLY!

a)

Rational

b)

Logarithmic

c)

Exponential

d)

Square Root

105.

Which parent functions are symmetric about the y-axis? SELECT ALL THAT APPLY!

a)

Quadratic

b)

Cubic

c)

Rational

d)

Absolute Value

106.

Which parent functions have minimums? SELECT ALL THAT APPLY

a)

Exponential

b)

Quadratic

c)

Absolute Value

d)

Square Root

107.

Which of the following parent functions have a range of $\left[0,\infty\right)$ ? SELECT ALL THAT APPLY!

a)

b)

c)

d)

108.

Which of the following parent functions have a range of $\left[0,\infty\right)$ ? SELECT ALL THAT APPLY!

a)

b)

c)

d)

109.

What type of function is shown?

a)

Exponential

b)

Quadratic

c)

Linear

d)

Rational

110.

Match each graph to the name of its function type

a)

1.

Rational

b)

2.

Logarithmic

c)

3.

Exponential

d)

4.

Linear

111.

Match each graph to the name of its function type

a)

1.

Absolute Value

b)

2.

Quadratic

c)

3.

Square Root

d)

4.

Cubic

e)

5.

Cube Root

112.

Simplify.

a)

A

b)

B

c)

C

d)

D

113.

a)

A

b)

B

c)

C

d)

D

114.

Simplify.

a)

A

b)

B

c)

C

d)

D

115.

a)

A

b)

B

c)

C

d)

D

116.

a)

A

b)

B

c)

C

d)

D

117.

Simplify.

a)

A

b)

B

c)

C

d)

D

118.

Simplify.

a)

A

b)

B

c)

C

d)

D

119.

Simplify.

a)

A

b)

B

c)

C

d)

D

120.

Simplify.

a)

A

b)

B

c)

C

d)

D

121.

**Challenge problem.

a)

A

b)

B

c)

C

d)

D

122.

Simplify. Assume all variables are appropriately restricted.

a)

A

b)

B

c)

C

d)

D

123.

Simplify. Assume all variables are appropriately restricted.

a)

A

b)

B

c)

C

d)

D

124.

Simplify. Assume all variables are appropriately restricted.

a)

A

b)

B

c)

C

d)

D

125.

Simplify. Assume all variables are appropriately restricted.

a)

A

b)

B

c)

C

d)

D

126.

Simplify. Assume all variables are appropriately restricted.

a)

A

b)

B

c)

C

d)

D

127.

Simplify. Assume all variables are appropriately restricted.

a)

A

b)

B

c)

C

d)

D

128.

Simplify. Assume all variables are appropriately restricted.

a)

A

b)

B

c)

C

d)

D

129.

Simplify. Assume all variables are appropriately restricted.

a)

A

b)

B

c)

C

d)

D

130.

Simplify. Assume all variables are appropriately restricted.

a)

A

b)

B

c)

C

d)

D

131.

Simplify. Assume all variables are appropriately restricted.

a)

A

b)

B

c)

C

d)

D

132.

To simplify a rational expression, I should

a)

Eliminate common terms in the numerator and denominator.

b)

Combine like terms in the numerator and denominator.

c)

Factor the numerator and denominator and eliminate common factors.

d)

Find an LCD.

133.

When adding and subtracting rational expressions, my first step should be to:

a)

Combine like terms in the numerators.

b)

Determine a Least Common Denominator.

c)

Factor all of the numerators and all of the denominators.

d)

Change the operator to multiplication and reciprocate the second fraction.

134.

When adding and subtracting, I should ___________ combine like terms in the denominator.

a)

Always

b)

Sometimes

c)

Never

d)

I'm Not Sure.

135.

Find the least common denominator of the expression

a)

18

b)

6x

c)

3xy

d)

6xy

136.

a)

A

b)

B

c)

C

d)

D

A2 6th Six Weeks Test Review

Total questions: 136

Worksheet time: 5hrs 25mins

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