Free Printable 5th Six Weeks Makeup Homework

1.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

2.

Factor:
4h² - 17h + 4

a)

(2h - 2)²

b)

4(h + 4)(h + 1)

c)

(2h - 2)(2h + 2)

d)

(h - 4)(4h - 1)

3.

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

4.

3x²+9x-30=0

a)

x= 2, -5

b)

x= 5, -2

c)

x= -5, -2

5.

Factor and Solve: $16a^2-9=0$

a)

a = $-\frac{3}{4}$ , $\frac{3}{4}$

b)

a = $-\frac{4}{3}$ , $\frac{4}{3}$

c)

a = $-\frac{9}{16}$ , $\frac{9}{16}$

d)

a = $-\frac{16}{9}$ , $\frac{16}{9}$

6.

Which equation matches these solutions? x=5,-7

a)

(x+5)(x-7)=0

b)

(x-5)(x+7)=0

c)

(x+5)(x+7)=0

d)

(x-5)(x-7)=0

7.

Factor Completely: 2k²-14k-60

a)

2(k-10)(k-3)

b)

Not Factorable

c)

(k-5)(k+9)

d)

2(k-10)(k+3)

8.

What is the factored form of
16x² - 16x - 12?

a)

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

b)

4(2x - 6) (x + 2)

c)

4(2x - 2) (2x + 3)

d)

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

9.

Factor Completely: 4x² - 20x + 25

a)

(4x - 25) (x -1)

b)

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

c)

(2x - 5)²

d)

(4x - 5) (x - 5)

10.

Factor Completely: 6x² + 7x - 3

a)

(2x + 3)(3x-1)

b)

(2x - 3)(3x + 1)

c)

(2x + 3)(6x - 2)

d)

(3x - 3)(2x + 1)

11.

What is the vertex?

a)

(-3, 0)

b)

(3, 0)

c)

(0, 18)

d)

(18, 0)

12.

What is the equation of the axis of symmetry?

a)

y = 0

b)

x = 0

c)

x = 3

d)

x = -3

13.

Which of the statements about the graph is FALSE?

a)

The vertex is a maximum

b)

There are two zeros at x = -3 and x = 3

c)

The y-intercept is (0, 18)

d)

The range is y ≥ 18

14.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

15.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

16.

Determine the domain and range of the function

a)

Domain: All real numbers, Range: All real numbers

b)

Domain: x ≥ -4, Range: All real numbers

c)

Domain: All real numbers, Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

17.

What are the zeros of the function? Choose all that apply.

a)

x = 0

b)

x = -3

c)

x = -6

d)

y = 18

18.

Which statement about the graph is FALSE?

a)

The vertex is (-3, 18)

b)

The vertex is a maximum

c)

The y-intercept is y = 0

d)

The axis of symmetry is y = -3

19.

Which statement about the graph is FALSE?

a)

The vertex is also a zero of the function

b)

The y-intercept is (0, -2)

c)

The axis of symmetry is x = 2

d)

The range is y ≥ 0

20.

What is the significance of the ordered pair (1, -2) to the graph?

a)

It is the maximum point

b)

It is the vertex

c)

It is the y-intercept

d)

It is an x-intercept

21.

What is the significance of the ordered pair (3, 0) to the graph?

a)

It is the maximum point

b)

It is the vertex

c)

It is the y-intercept

d)

It is an x-intercept

22.

What is the significance of the ordered pair (0, -1.5) to the graph?

a)

It is the maximum point

b)

It is the vertex

c)

It is the y-intercept

d)

It is an x-intercept

23.

Which point is the vertex?

a)

(-8, 0)

b)

(-5, -9)

c)

(-2, 0)

d)

(-9, -5)

24.

State the domain and range.

a)

Domain: All real numbers, Range: y ≥ -9

b)

Domain: All real numbers, Range: All real numbers

c)

Domain: x ≥ -8, Range: y ≥ -9

d)

Domain: x ≥ -8, Range: All real numbers

25.

Which function has a domain of all real numbers?

a)

b)

c)

d)

All of the above

26.

Which function has an absolute minimum?

a)

b)

c)

d)

All of the above

27.

Which function has an axis of symmetry of x = 0?

a)

b)

c)

d)

None of the above

28.

Which function has an x-intercept and y-intercept at (0, 0)?

a)

b)

c)

d)

29.

Which function has a range y ≥ -4?

a)

b)

c)

d)

None of the above

30.

Which function has a maximum at (2, 0)?

a)

b)

c)

d)

31.

Define X-intercept

a)

The highest or lowest point on the graph

b)

Where the parabola touches or intersects the x-axis

c)

Where the parabola touches or intersects the y-axis

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

32.

Define Y-intercept

a)

Where the parabola touches or intersects the x-axis, also called the x-intercept

b)

The lowest y-value on the graph

c)

The highest y-value on the graph

d)

Where the parabola touches or intersects the y-axis

33.

Define Zero

a)

Where the parabola touches or intersects the x- axis, also called the x-intercept

b)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

c)

The highest or lowest point on the graph

d)

Where the parabola touches or intersects the y-axis

34.

Define Maximum

a)

The highest or lowest point on the graph

b)

The highest y-value on the graph

c)

The lowest y-value on the graph

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

35.

Define Minimum

a)

The highest y-value on the graph

b)

Where the parabola touches or intersects the y-axis

c)

Where the parabola touches or intersects the x-axis, also called the x-intercept

d)

The lowest y-value on the graph

36.

Define Vertex

a)

Where the parabola touches or intersects the x-axis

b)

The highest or lowest point on the graph

c)

Where parabola line touches or intersects the x- axis, also called the x-intercept

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

37.

Define Axis Of Symmetry

a)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

b)

Where the parabola touches or intersects the x-axis, also called the x-intercept

c)

The highest y-value on the graph

d)

The highest or lowest point on the graph

38.

Define Roots

a)

Where the parabola touches or intersects the y-axis

b)

The lowest y-value on the graph

c)

Where the parabola touches or intersects the x-axis, also called the x-intercept

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

39.

Define Solution

a)

The highest y-value on the graph

b)

Where the parabola touches or intersects the y-axis

c)

The highest or lowest point on the graph

d)

Where the parabola touches or intersects the x-axis, also called the x-intercept

40.

Define Roots, Zeros, X-intercept, and Solutions

a)

Where the parabola touches or interests the x-axis

b)

Where the parabola touches or interests the y-axis

41.

What does the h term tell you?

a)

left or right

b)

left or right, opposite sign, axis of symmetry, x-value of the vertex.

c)

axis of symmetry, x-value of the vertex

d)

nothing.

42.

What does the k term tell you?

a)

up.

b)

down.

c)

up/down, y-value in the vertex

d)

nothing

43.

Identify the a, h, and k term from the following equation: $\left(x+3\right)^2+2$

a)

a=-1, h=3, k=2

b)

a=3, h=3, k=3

c)

a=1, h=-3, k=2

d)

a=1, h=-3, k=-2

44.

Identify the a, h, and k terms in the following equation: $2\left(x+4\right)^2-1$

a)

a=2, h=-4, k=-1

b)

a=-2, h=4, k=1

c)

a=2, h=4, k=1

d)

a=-2, h=-4, k=1

45.

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

a)

a=-1, h=4, k=3

b)

a=-1, h=-4, k=3

c)

a=1, h=4, k=3

d)

a=1, h=-4, k=-3

46.

Determine the vertex from the following equation: $-3\left(x-4\right)^2+1$

a)

Vertex: (4,1)

b)

Vertex: (-4, -1)

c)

Vertex: (4, -1)

d)

Vertex: (-4, 1)

47.

Determine the vertex from the following equation: $-\left(x+1\right)^2-1$

a)

Vertex: (1,-1)

b)

Vertex: (-1, 1)

c)

Vertex: (-1, -1)

d)

Vertex: (1, 1)

48.

Determine the vertex from the following equation: $\frac{1}{2}\left(x+4\right)^2+1$

a)

Vertex: (-4, 1)

b)

Vertex: (-4, -1)

c)

Vertex: (4, 1)

d)

Vertex: (4, -1)

49.

Determine the axis of symmetry from the following equation: $-\left(x-2\right)^2+4$

a)

A. O. S: 2

b)

A. O. S: 4

c)

A. O. S: -2

d)

A. O. S: -1

50.

Determine the axis of symmetry of the following equation: $-2\left(x+2\right)^2+3$

a)

A. O. S: 3

b)

A. O. S: -2

c)

A. O. S: 2

d)

A. O. S: 1

51.

Determine the axis of symmetry of the following equation: $\left(x-3\right)^2+5$

a)

A. O. S: 1

b)

A. O. S: -3

c)

A. O. S: 3

d)

A. O. S: 5

52.

What is a quadratic funtion in the form of $f\left(x\right)=a\left(x-h\right)^2+k$ called?

a)

Factored Form

b)

Standard Form

c)

Vertex Form

53.

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)

54.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

55.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

56.

Which equation has a vertex of (-3, 4)?

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

57.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

58.

What is the vertex for
f(x)=4(x-2)² + 3

a)

(-2, 3)

b)

(2,-3)

c)

(4,3)

d)

(2,3)

59.

What is the vertex?

a)

(-1,-2)

b)

(-2,-1)

c)

(-3,-1)

d)

(2,1)

60.

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

a)

f(x) = (x - 4)² - 15

b)

f(x) = (x - 4)² + 17

c)

f(x) = (x - 4)² - 17

d)

f(x) = (x - 4)² + 65

61.

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

62.

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

63.

Match the description to its equation.
Moves up 2
Moves left 4

a)

A

b)

B

c)

C

d)

D

64.

Match the description to its equation.
Moves right 7

a)

A

b)

B

c)

C

d)

D

65.

Match the description to its equation.
- moves down 3

a)

A

b)

B

c)

C

d)

D

66.

Match the equation to its description.

a)

Reflected over x and up 4

b)

Reflected over x and down 4

c)

Reflected over x and right 4

d)

Reflected over x and left 4

67.

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

68.

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

69.

Match the description to its equation.
Moves down 1
Moves right 1

a)

A

b)

B

c)

C

d)

D

70.

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 = 2x²- 2
y = x²
y = 0.5 x²

d)

y = 2x² - 2
y = 4x²
y = 0.5x²
y = x²

71.

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.

72.

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

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.

73.

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.

74.

Describe the transformation of y = (x - 4)²

a)

Shift UP

b)

Shift DOWN

c)

Shift LEFT

d)

Shift RIGHT

75.

Describe the transformation of y = x² + 4

a)

Shift UP

b)

Shift DOWN

c)

Shift LEFT

d)

Shift RIGHT

76.

How many solutions does $-x=2x^2-4$ have?

a)

No Solution

b)

One Solution

c)

Two Solutions

d)

Not Possible

77.

What are the roots to $4x^2-35x+29=0$ ?

a)

x = 0 & 0.927

b)

x= 0.972 & 29

c)

x = 0.927 & 7.823

d)

x = 29 & -35

78.

Find the x-intercepts of $x^2-11x=-10$

a)

x = 1 & x = 10

b)

x = -1 & x = -10

c)

x = -1 & x = 10

d)

x = 1 & x = -10

79.

What are the solutions to $n^2+2n-24$ ?

a)

-8,3

b)

-4,6

c)

12,-2

d)

-6,4

80.

How many zeros does $-2x^2-11x-5$ have?

a)

No solutions

b)

One Solution

c)

Two Solutions

81.

How many roots does $2p=3p^2-5$ have?

a)

One Solution

b)

No Solution

c)

Two Solutions

82.

What are the x-intercepts to $4x^2-36$ ?

a)

-6,6

b)

3,-3

c)

2,-2

d)

No solution

83.

How many x intercepts does $x^2-14x+49$ have?

a)

Two Solutions

b)

One Solution

c)

No Solution

84.

What are the solutions to $x^2-12x+36$ ?

a)

6

b)

6,-6

c)

No Solution

d)

6,0

85.

Find the solutions to $2x^2$

a)

4

b)

2,0

c)

0

d)

No Solution

86.

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

87.

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

88.

Use the quadratic formula to solve 2x² + 2x - 12.

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

89.

Solve 2x² + 7x - 15 = 0

a)

-3/2 or 5

b)

No Solution

c)

-5 or 3/2

d)

0.7 or 5

90.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

91.

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.

92.

X intercepts are also called....

a)

Solutions

b)

Parabolas

c)

Roots

d)

Puppies

93.

What are the green dots called?

a)

roots

b)

vertex

c)

solutions

d)

x intercepts

94.

1 The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

95.

1 In the equation

y = x² +5x +7,

match each leading coefficient with its correct letter.

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

96.

1 What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

97.

2 For the function below, is the discriminant positive, negative, or zero?

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

98.

2 A function has a discriminant of 4.

How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

4

99.

2 A function has a discriminant of 0.

How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

5

100.

3 What is the discriminant of

-2x² − x − 1 = 0 ?

a)

76

b)

-7

c)

9

d)

none of these

101.

3 For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

102.

3 For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

103.

Find the best fitting quadratic model for the data given.

a)

$1.2x^2+13x+504.3$

b)

$12x^2+13x+504.3$

c)

$0.12x^2+1.3x+504.3$

104.

Find the population for 1975.

HINT: Read the headers on the table!

a)

623 thousand people

b)

650 thousand people

c)

599 thousand people

d)

513 thousand people

105.

Use the model y=-16x²+400 to predict when the object will hit the ground.

It will hit the ground after (a) seconds.

106.

Use the model y=-16x²+400. How high was the object when it was dropped?

It was dropped at (a) feet.

107.

Find the best fitting Quadratic model for the data

a)

$-0.26x^2-17.3x+222.8$

b)

$-0.26x^2+22.59x+23.02$

c)

$2.6x^2+22.9x+20.03$

d)

$2.6x^2+2.3x+23.02$

108.

Determine the curve of best fit.

a)

$y=-2.7x+7.4$

b)

$y=0.95x^2-2.08x-0.75$

c)

$y=-.05x-3.26$

d)

$y=0.95x^2+2.08x+0.75$

109.

Find the height of the ball when it traveled a distance of 10 feet.

a)

12.8 ft

b)

13.5 ft

c)

11.1 ft

d)

17 ft

110.

Based on the table, what was the maximum height of the projectile?

a)

4, 440 feet

b)

30 feet

c)

3, 940 feet

d)

35 feet

5th Six Weeks Makeup Homework

Total questions: 110

Worksheet time: 4hrs 35mins

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