Free Printable Final Project Remediation

1.

What is the common difference?

a)

−16

b)

84

c)

16

d)

0

2.

What will be the length if there were 20 grocery carts? (Hint: Find explicit rule first)

a)

98 inches

b)

266 feet

c)

266 inches

d)

98 feet

3.

Which sequence(s) represent an arithmetic sequence?

a)

a and e

b)

a, b, and e

c)

b, c, and d

d)

b

4.

Which of the following sequences is an arithmetic sequence?

a)

3, 6, 9, 12, 15

b)

2, 4, 8, 16, 32

c)

1, 3, 6, 10, 15

d)

5, 10, 15, 20, 25

5.

What is the common difference of the arithmetic sequence 8, 12, 16, 20, 24?

a)

2

b)

4

c)

6

d)

8

6.

Find the 10th term of the arithmetic sequence where the first term is 7 and the common difference is 3.

a)

34

b)

36

c)

37

d)

40

7.

If the 5th term of an arithmetic sequence is 20 and the common difference is -2, what is the first term?

a)

26

b)

28

c)

30

d)

32

8.

An arithmetic sequence starts with the term 15 and has a common difference of -4. What is the 7th term of the sequence?

a)

-9

b)

-10

c)

1

d)

3

9.

Find the common difference of the arithmetic sequence -19, -14, -9, ...

(a)

10.

Find the common difference of the arithmetic sequence 14, 20, 26, ...

(a)

11.

Determine the common ratio of the geometric sequence graphed below.

a)

r=3

b)

r=4

c)

r=6

d)

r=8

12.

Calculate the common ratio in the geometric sequence: 81, 27, 9, 3, 1.

a)

2

b)

5

c)

10

d)

0.3333

13.

Determine the common ratio in the geometric sequence: 8, 4, 2, 1, 0.5.

a)

0.5

b)

6

c)

4

d)

2

14.

Find the common ratio in the geometric sequence: 5, 10, 20, 40, 80.

a)

15

b)

5

c)

2

d)

25

15.

What is the common ratio in the geometric sequence: 2, 6, 18, 54, 162?

a)

3

b)

20

c)

10

d)

5

16.

What is the common difference in the arithmetic sequence: -6, -3, 0, 3, 6?

a)

3

b)

-2

c)

5

d)

1

17.

Determine the common difference in the arithmetic sequence: 5, 10, 15, 20, 25.

a)

12

b)

8

c)

5

d)

3

18.

What is the common ratio in the geometric sequence: -1, 2, -4, 8, -16?

a)

4

b)

1

c)

0

d)

-2

19.

Pick a function that best models the following situation: A babysitter getting paid hourly.

a)

Exponential

b)

Linear

c)

Quadratic

d)

Neither

20.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

21.

This is a ________________ function.

a)

Linear

b)

Exponential

c)

Quadratic

22.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

23.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

24.

Is the table linear, exponential, or quadratic?

a)

Linear

b)

Exponential

c)

Quadratic

d)

none of these

25.

This table represents what kind of function?

a)

Linear

b)

Exponential Growth

c)

Exponential Decay

d)

Quadratic

26.

Pick a function that best models the following situation: A speed of a rollercoaster from start to finish.

a)

Exponential

b)

Linear

c)

Quadratic

d)

Neither

27.

Pick a function that best models the following situation: The flu virus in a high school.

a)

Exponential

b)

Linear

c)

Quadratic

d)

Neither

28.

y=x²

^{What type of equation is the above?}

a)

exponential

b)

linear

c)

quadratic

d)

neither

29.

If a regression line has an $R^2$ value of 0, what does that mean?

a)

The regression line is going directly through the points, and is a perfect model.

b)

The regression line is close to the points and is a good model.

c)

The regression line is close to the points and is a bad model

d)

The regression line is far from the points and is a bad model

30.

If a regression line has an $R^2$ value of 1, what does that mean?

a)

The regression line is going directly through the points, and is a perfect model.

b)

The regression line is close to the points and is a good model.

c)

The regression line is close to the points and is a bad model

d)

The regression line is far from the points and is a bad model

31.

Which kind of function has the same Common Ratios

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

32.

Which kind of function has the same Second Differences

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

33.

Identify the following function.

a)

Linear

b)

Exponential

c)

Quadratic

d)

Neither

34.

What is the domain of the function graphed?

a)

x < 5

b)

x ≥ 1

c)

x > 0

d)

All real numbers

35.

Which of the inequalities below best describes the domain of the function shown on the graph?

a)

-2 ≤ x ≤ 2

b)

-5 ≤ x ≤ -3

c)

-2 ≤ x ≤ 3

d)

-5 ≤ x ≤ 3

36.

Given the function f(x) = 4x² - 5, what is the range?

a)

All real numbers greater than or equal to -5

b)

All real numbers

c)

All real numbers greater than or equal to 5

d)

All real numbers less than or equal to -5

37.

What is the range of the function graphed?

a)

-3 < x ≤ 6

b)

-3 < y ≤ 6

c)

2 < y ≤ 6

d)

2 < x ≤ 6

38.

What is the domain of the graph?

a)

{-4, 0, 2, 4}

b)

{-5, -4, -3, -1}

c)

{-5, -4, -3, -1, 0, 2, 4}

d)

All real numbers

39.

What is the domain?
Remember domain is the "x" values.
And an open circle means it DOES NOT equal that number - use < and >
Only use ≤ and ≥ with a closed circle.

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

40.

What is the domain?

a)

{-2, -1, 0, 1, 8}

b)

{3, 5, 7 , 9, 0}

c)

{-2, -1, 0, 1, 3, 5, 7, 8, 9}

d)

{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

41.

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}

42.

Does the graph represent a function?

a)

Yes

b)

No

43.

What is the domain of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

44.

What is the domain of this graph?

a)

All Real Numbers

b)

x > -2

c)

x < 6

d)

-2 < x < 6

45.

What is the range of this graph?

a)

y < 3

b)

y > -3

c)

y > 0

d)

All Real Numbers

46.

Quadratic Function

a)

b)

47.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x)= x²

c)

f(x) = |x|

d)

f(x) = ab^x

48.

Which parent function matches the graph?

a)

y = |x|

b)

y = ∛(x)

c)

y = x²

d)

y = a⋅b^x

49.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x)= x²

c)

f(x) = |x|

d)

f(x) = ab^x

50.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x) = x²

c)

f(x) =√(x)

d)

f(x) =∛(x)

51.

What type of function is shown?

a)

exponential

b)

linear

c)

quadratic

d)

square root

52.

Which parent function matches the graph?

a)

f(x) = √(x)

b)

f(x) = ∛(x)

c)

f(x) = |x|

d)

f(x) = a⋅b^x

53.

Name the parent function.

a)

constant

b)

quadratic

c)

linear

d)

exponential

54.

Name the parent function.

a)

linear

b)

quadratic

c)

cube root

d)

cubic

55.

Name the parent function.

a)

cube root

b)

square root

c)

quadratic

d)

linear

56.

Name the parent function.

a)

quadratic

b)

cubic

c)

square root

d)

logarithmic

57.

Domain is:

a)

All x values, from left to right.

b)

All y values, from bottom to top.

c)

All x values from bottom to top.

d)

All y values from left to right.

58.

Range is:

a)

All x values, from left to right.

b)

All y values, from left to right.

c)

All y values, from bottom to top.

d)

All x values, from bottom to top.

59.

Which of the following parent functions does not have a Domain of all Real numbers?

a)

b)

c)

d)

60.

Name the parent function.

a)

linear

b)

quadratic

c)

absolute value

d)

cubic

61.

What function family is represented by the equation $f\left(x\right)=x^3$ ?

a)

Linear

b)

Quadratic

c)

Cubic

d)

Exponential

62.

What is the asymptote?

a)

y=1

b)

y=0

c)

none

d)

x=4

63.

What is the x-intercept?

a)

(0,0)

b)

(1,0)

c)

(5,5)

d)

(-1,0)

64.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

65.

Name the x-intercept(s)?

a)

(0, 0)

b)

(2, 4)

c)

(0, 0) and (0, 4)

d)

(0, 0) and (4, 0)

66.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

67.

Determine the equation for the line

a)

$y=\frac{2}{3}x+3$

b)

$y=\frac{2}{3}x+2$

c)

$y=\frac{2}{3}x-2$

d)

$y=-2x+\frac{2}{3}$

68.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

69.

What are the inverse points for the coordinates:

(3, 0) , (2, -4), (5, 5) and (-6,8)

a)

(3,0) , (2, -4) , (5,5) , (6,8)

b)

(0,3) , (-4,2) , (5,5) , (8,-6)

c)

(3,2), (0, -4), (5, -6), (5,8)

70.

Are these functions inverses?

a)

No

b)

Yes

c)

No way to tell

71.

Are these functions inverses?

a)

Yes

b)

No

72.

Which graph represents the functions f(x) and f^-1(x)?

a)

b)

c)

d)

73.

Simplify by combining like terms:

9x+7y+4x-11y+10x-8x

a)

$15x-3y$

b)

$15x-4y$

c)

$16x-4y$

d)

$15x-5y$

74.

Simplify by combining like terms:

7f+8g+4f+3f+6f+2g

a)

$20f+11g$

b)

$21f+10g$

c)

$20f+10g$

d)

$22f+10g$

75.

Simplify by combining like terms:

7x+2y+9x+8

a)

$18xy+8$

b)

$16x+2y+8$

c)

$9xy+9x+8$

d)

$16x+10y$

76.

Simplify by combining like terms:

8x+4x-3-3

a)

6

b)

$6x$

c)

$4x-6$

d)

$12x-6$

77.

Simplify by combining like terms:

7b-3b+4f

a)

10b+4f

b)

$8b$

c)

$4b-4f$

d)

$4b+4f$

78.

Simplify by combining like terms:

3g+3h+3+2g+8

a)

$5g+3h+11$

b)

$8gh+11$

c)

$6g+5h+8$

d)

$6g+2h+11$

79.

Simplify by combining like terms:

12x-15y-18x+17y+20x

a)

$14x+y$

b)

$14x+2y$

c)

$14x+3y$

d)

$15x+2y$

80.

Simplify by combining like terms:

9x+7y+4x-11y+10x-8x

a)

$15x-3y$

b)

$15x-4y$

c)

$16x-4y$

d)

$15x-5y$

81.

Simplify by combining like terms:

7f+8g+4f+3f+6f+2g

a)

$20f+11g$

b)

$21f+10g$

c)

$20f+10g$

d)

$22f+10g$

82.

Simplify the Expression:

7x²- 3a +20 - 4x² + 2a

a)

11x²- a + 20

b)

3x²- a + 20

c)

2a + 20

d)

3x²- a

83.

Simplify the Expression:

3a + 7 - 2a

a)

8a

b)

12a

c)

a + 7

d)

5a + 7

84.

Simplify the Expression:

3m - 15 + 2m - 4

a)

5m - 19

b)

m + 19

c)

5m - 15

d)

24m

85.

Simplify the Expression:

9xy + 3x - 6xy + 2x

a)

3xy + 5x

b)

8xy

c)

8x

d)

15xy + 5x

86.

Simplify the Expression:

2x²- 7x + 10 - x²

a)

-4x²+ 10

b)

20x

c)

x²- 7x + 10

d)

3x²- 7x - 10

87.

$f\left(x\right)=2x+1$

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

Find $f\left(x\right)+g\left(x\right)$

a)

$5x+1$

b)

$-5x+1$

c)

$-2x+1$

d)

$6x-1$

88.

$f\left(x\right)=4x+8$

$g\left(x\right)=x+3$

Find $f\left(x\right)+g\left(x\right)$

a)

$4x^2+24$

b)

$5x+11$

c)

$3x+11$

d)

$4x^2+4x+24$

89.

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

$g\left(x\right)=-x-5$

Find $f\left(x\right)+g\left(x\right)$

a)

$x^2+3x-5$

b)

$-x^3+2x-7$

c)

$x^3+3x-3$

d)

$x^2-3x-5$

90.

Given $f\left(x\right)=3x^2+7x$ and $g\left(x\right)=2x^2-x-1$

Find $\left(f+g\right)\left(x\right)$

a)

$11x^2-1$

b)

$5x^4+6x^2-1$

c)

$5x^2+6x-1$

d)

$5x^2+8x-1$

91.

$f\left(x\right)=2x+1$

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

Find $f\left(x\right)+g\left(x\right)$

a)

$5x+1$

b)

$-5x+1$

c)

$-2x+1$

d)

$6x-1$

92.

$f\left(x\right)=4x+8$

$g\left(x\right)=x+3$

Find $f\left(x\right)+g\left(x\right)$

a)

$4x^2+24$

b)

$5x+11$

c)

$3x+11$

d)

$4x^2+4x+24$

93.

$f\left(x\right)=-8x+6$

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

Find $f\left(x\right)+g\left(x\right)$

a)

$-10x+8$

b)

$-6x+8$

c)

$-6x+4$

d)

$10x+4$

94.

$f\left(x\right)=9-3x$

$g\left(x\right)=5x-7$

Find $f\left(x\right)+g\left(x\right)$

a)

$14x-10$

b)

$-8x+2$

c)

$2x+2$

d)

$2x-2$

95.

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

$g\left(x\right)=-x-5$

Find $f\left(x\right)+g\left(x\right)$

a)

$x^2+3x-5$

b)

$-x^3+2x-7$

c)

$x^3+3x-3$

d)

$x^2-3x-5$

96.

Given $f\left(x\right)=3x^2+7x$ and $g\left(x\right)=2x^2-x-1$

Find $\left(f+g\right)\left(x\right)$

a)

$11x^2-1$

b)

$5x^4+6x^2-1$

c)

$5x^2+6x-1$

d)

$5x^2+8x-1$

97.

Given

$f\left(x\right)=4x-7$ and $g\left(x\right)=3x^2+2x+1$

Find $\left(f+g\right)\left(x\right)$

a)

$9x-6$

b)

$7x^2+2x-6$

c)

$3x^2+6x-6$

d)

$3x^2+2x-6$

98.

Given

$f\left(x\right)=2x^2+2x+1$ and $g\left(x\right)=10x-10$

Find $\left(f+g\right)\left(x\right)$

a)

$2x^2+12x-9$

b)

$12x+11$

c)

$2x^2-9$

d)

$14x^2-10$

99.

Given

$f\left(x\right)=x^2-5x$ and $g\left(x\right)=-3x-1$

Find $h\left(x\right)=f\left(x\right)+g\left(x\right)$

a)

$x^2+2x-1$

b)

$x^2-8x+1$

c)

$x^2-8x-1$

d)

$-8x^2+1$

100.

Which table represents $h\left(x\right)=f\left(x\right)+g\left(x\right)$ ?

a)

b)

c)

d)

101.

Which operation is used to find $h\left(x\right)$ in the given table

a)

Subtraction

b)

Addition

c)

Multiplication

d)

Division

102.

Given $f\left(x\right)=x^2+2$ and $h\left(x\right)=4x+1$ .

Which graph represents $h\left(x\right)=f\left(x\right)+g\left(x\right)$

a)

b)

c)

d)

103.

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

a)

5n+1

b)

-5n+1

c)

-2n+1

d)

-6n-1

104.

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

105.

f(x) = x²+9

g(x) = x-3

Find f(x) + g(x).

a)

x²+ x + 9

b)

x³+ x + 12

c)

x²-x

d)

x²+ x + 6

106.

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

107.

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

108.

Given g(x) = 2x and h(x) = −4x ² + 6x + 3

Find g(x) + h(x)

a)

-2x² + 6x + 3

b)

-4x² + 8x + 3

c)

2x - 4x² +6x +3

d)

10x² + 2x +3

109.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

110.

What is $f\left(0\right)$ for the function $f\left(x\right)=2x+3$

a)

2x

b)

-3

c)

3

d)

10

111.

$Given\ h\left(x\right)=x^2-4\ what\ is\ h\left(6\right)?$

a)

32

b)

0

c)

-4

d)

77

112.

$Given\ h\left(x\right)=3x^2-2x+8\ what\ is\ h\left(2\right)?$

a)

13

b)

8

c)

16

d)

answer not here

113.

Given
f(x)=3x²+7x and g(x)=2x²-x-1, find (f+g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

114.

f(x) = 4x+8

g(x) = x+3,

Find f(x)+g(x)

a)

4x²+24

b)

5x + 11

c)

3x+ 11

d)

4x²+4x+24

115.

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

a)

5n+1

b)

-5n+1

c)

-2n+1

d)

-6n-1

116.

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

117.

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

a)

x²-2x+6

b)

-x²+2x+4

c)

-x²-2x-6

d)

x²-2x-4

118.

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

119.

f(x)=x²+1
g(x)=2x-5
Find f(x)-g(x)

a)

x²-2x+6

b)

-x²+2x+4

c)

-x²-2x-6

d)

x²-2x-4

120.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

121.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

122.

What is the y -intercept on this graph?

a)

(0,6)

b)

(5,0)

c)

(0,5)

d)

(0,0)

123.

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

a)

5n+1

b)

-5n+1

c)

-2n+1

d)

-6n-1

124.

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

125.

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

a)

x²-2x+6

b)

-x²+2x+4

c)

-x²-2x-6

d)

x²-2x-4

126.

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

127.

Two functions are listed below.

$g\left(x\right)=x^2-x$

$f\left(x\right)=2x\ -1\$

Find $g\left(x\right)+f\left(x\right)$ .

a)

$x^2-x-1$

b)

$x^2+x-1$

c)

$-x^2-8x+2$

d)

$-5x+5$

128.

Two functions are given.

$h\left(x\right)\ =3x-5$

$g\left(x\right)=x^2+5$

Find $h\left(x\right)\ +\ g\left(x\right)$ .

a)

$x^2+3x$

b)

$3x^2+4x-9$

c)

$x^2+2x+2$

d)

$x^2+x+8$

129.

Two functions are given:

$h\left(x\right)\ =x^2-2x$

$g\left(x\right)=2x^2-4x\$

Find h(x) - g(x).

a)

$-x^2+2x$

b)

$-x^2-2x$

c)

$3x^2+6x$

d)

$3x^2-6x$

130.

Two functions are given.

$f\left(x\right)=x^2+3x$

$g\left(x\right)=2x$

Find $f\left(x\right)-g\left(x\right)$ .

a)

$-x^2+x$

b)

$x^2+x$

c)

$-x^2-x$

d)

$-2x^2-5x-5$

131.

Two functions are given.

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

$g\left(x\right)=3x+5$

Find $f\left(x\right)\ -\ g\left(x\right)$ .

a)

$x\ +\ 1$

b)

$-x-1$

c)

$-x+1$

d)

$x^2-4x-3$

132.

Two functions are given:

$f\left(x\right)=2n-1$

$g\left(x\right)=4x-3$

Find $f\left(x\right)-g\left(x\right).$

a)

-6

b)

$-2x-2$

c)

$-2x+2$

d)

$2x-2$

133.

Two functions are given:

$g\left(x\right)=-4x+4$

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

Find $g\left(x\right)\ +\ f\left(x\right)$ .

a)

$x^2-2x-1$

b)

$x^3-2x+7$

c)

$x^2-4x+6$

d)

$x^2-3$

134.

Given two functions:

$g\left(x\right)\ =\ -x^2+4x$

$h\left(x\right)=x+3$

Find $g\left(x\right)-h\left(x\right)$

a)

$x^2-3x+3$

b)

$x^2+3x+3$

c)

$x-2$

d)

$-x^2+3x-3$

135.

Two functions are given:

$f\left(x\right)=x-3$

$g\left(x\right)=4x$

Find $f\left(x\right)\ -\ g\left(x\right)$

a)

$-3x+3$

b)

$-3x-3$

c)

$-3x-4$

d)

$3x+3$

136.

Given two functions:

$g\left(x\right)=-x^2-4x$

$h\left(x\right)=4x-2$

Find $g\left(x\right)\ +\ h\left(x\right)$ .

a)

$-5x+1$

b)

$-x^3-4x^2+3x-3$

c)

$x^2+4x+7$

d)

$-x^2-2$

137.

Given two functions:

$g\left(x\right)=x^2-1$

$h\left(x\right)=3x-4$

Find $g\left(x\right)+h\left(x\right)$ .

a)

$-2x^2+2x-3$

b)

$x^2+3x-5$

c)

$-3x^3-4x^2+2x+2$

d)

2x

138.

Given the two functions

$h\left(x\right)=4x+4$

$g\left(x\right)=-x^2+5x$

Find $h\left(x\right)-g\left(x\right)$ .

a)

$x^3-5x-3$

b)

$x^2-x+4$

c)

$-x^2+x-4$

d)

$-x^2-x-4$

139.

Given the two functions

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

$g\left(x\right)=-3x-4$

Find $f\left(x\right)+g\left(x\right)$ .

a)

$x-6$

b)

$-8x+1$

c)

$-x-6$

d)

$x^2+4x+5$

140.

Given the two functions

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

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

Find $f\left(x\right)+g\left(x\right)$ .

a)

$-2x^2-2x-4$

b)

$x^2+x-3$

c)

$x^2+2x$

d)

$4x+3$

141.

Given the two functions

$f\left(x\right)=-4x+4$

$g\left(x\right)=2x-5$

Find $f\left(x\right)-g\left(x\right)$ .

a)

$6x-9$

b)

$-x^2+2x+2$

c)

$-6x-9$

d)

$-6x+9$

142.

Simplify:
5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

143.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

144.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

145.

(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

146.

(x + 7)(x + 9)

a)

x² + 63x + 16

b)

x² + 16x + 63

c)

x² + 79

d)

x² + 16x + 2

147.

(x - 5)(x + 1)

a)

x² - 4x - 5

b)

x² + 6x - 5

c)

x² - 5x - 4

d)

x² - 4x - 4

148.

(x - 3)(x +10)

a)

x² - 7x + 13

b)

x² - 6x - 30

c)

x² + 7x - 30

d)

x² + 13x + 30

149.

(x + 7)(x - 2)

a)

x² - 5x + 5

b)

x²- 9x - 14

c)

x² - 5x - 14

d)

x² + 5x - 14

150.

(x - 4)(x - 6)

a)

x² -10x + 24

b)

x² - 10x - 24

c)

x² +10x + 24

d)

x² + 10x - 24

151.

(2x - 1)(x + 2)

a)

2x² + 3x - 2

b)

2x² - 5x - 2

c)

2x² + 3x + 2

d)

2x² - 5x + 2

152.

Multiply 7x²y³ (2x⁴y⁵+6xy³)

a)

14x⁸y¹⁵+42x²y⁹

b)

9x⁶y⁸+13x³y⁶

c)

14x⁶y⁸+42x³y⁶

d)

14x⁶y⁸+42x²y⁶

153.

(5c-2)(3c²-5c+4)

a)

15c³-31c⁴+30c²-8

b)

15c³-19c²+10c-8

c)

15c³-31c²+30c-8

d)

15c³-31c²+30c+8

154.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

155.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

156.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

157.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

158.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

159.

Simplify: (3x⁴ + 2x - 4x²) + (5x² - 8x + 6x⁴)

a)

9x⁴ + 10x + 9x²

b)

9x⁴ + x² - 6x

c)

3x⁴ + 9x² + 6x

d)

3x⁴ - 6x + x²

160.

$\frac{x^2+12x+27}{x+9}$

a)

x+3

b)

x+9

c)

x-3

d)

x-9

161.

$\frac{x^2-13x+40}{x-8}$

a)

x-8

b)

x-5

c)

x+8

d)

x+5

162.

$\frac{x^2-7x-44}{x+4}$

a)

x-7

b)

x+4

c)

x-11

d)

x+7

163.

$\frac{x^2+x-42}{x-6}$

a)

x+6

b)

x+8

c)

x-6

d)

x+7

164.

$\frac{2x^2+9x+4}{2x+1}$

a)

x+4

b)

x-4

c)

2x+1

d)

2x+4

165.

$\frac{2x^2-15x+7}{x-7}$

a)

x-7

b)

2x-1

c)

2x+7

d)

x-1

166.

$\frac{2x^2+7x-15}{2x-3}$

a)

x+5

b)

2x-3

c)

x-5

d)

2x+15

167.

$\frac{6x^2+17x+5}{2x+5}$

a)

2x-5

b)

6x+1

c)

3x-1

d)

3x+1

168.

$\frac{3x^2+19x-14}{x+7}$

a)

x-7

b)

3x+1

c)

3x-2

d)

x-3

169.

$\frac{12x^2+7x-12}{3x+4}$

a)

4x-3

b)

3x+3

c)

4x-4

d)

2x+4

170.

$\frac{x^2-5x+6}{x-3}$

a)

x+5

b)

x-2

c)

x-1

d)

x+6

171.

$\frac{x^2-8x+16}{x-4}$

a)

x-4

b)

x+4

c)

x-9

d)

x+8

172.

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function?

a)

yes

b)

no

173.

Let f(x) = 4x² -33x -27. Is k = 9 a zero of the function?

a)

yes

b)

no

174.

(2x³ + 5x² + 9) ÷ (x + 3)

a)

2x² - x + 3

b)

2x³ - x² + 3x

c)

2x² + 11x + 33 + 108/x+3

d)

2x² - 5x + 12

175.

(3x³ + 5x - 1) ÷ (x + 1)

a)

3x³ - 3x² + 8x - 9

b)

3x² - 3x + 8 - 9/x+1

c)

3x² + 3x + 8 + 7/x+1

d)

3x³ + 3x² + 8x + 7

176.

(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

177.

x³-3x²-10x+24 ÷ x+3

a)

x²-7x+5

b)

x-8

c)

x²-6x+8

d)

x+9

178.

-2x²+4x+48 ÷ x+4

a)

-2x+12

b)

2x+12

c)

-4x+9

d)

4x+9

179.

x²-6x+8 ÷ x-2

a)

x-6

b)

x-9 R=2

c)

x-4

d)

x-8 R=3

180.

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

181.

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

182.

For synthetic division, what would be the number in the left hand box?

a)

0

b)

1

c)

2

d)

3

183.

Classify by degree of polynomial:
3x³ – 6x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

184.

Classify by degree of polynomial:
2x – 9

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

185.

Classify by degree of polynomial:
3x² – 8x + 1

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

186.

Classify by degree of polynomial:
12

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

187.

Classify by degree of polynomial:
7x³ – 8x² + 9

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

188.

Classify by degree of polynomial:
9x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

189.

What is the leading coefficient of the polynomial?
7x⁵ - 9x² + 6x

a)

7

b)

5

c)

9

d)

2

190.

What is the leading coefficient of the polynomial?
9x⁵ + 2x⁴ - x³ + 9x² - 2

a)

5

b)

9

c)

2

d)

4

191.

What kind of leading coefficient does the function have?
f(x) = 4x⁴ + 6x³ - x

a)

positive

b)

negative

192.

Put this polynomial in standard form:

7x+2x^2-3x^4

a)

$2x^2+7x-3x^4$

b)

$-3x^4+2x^2+7x$

c)

$-3x^4+7x+2x^2$

193.

What is the leading coefficient of this polynomial? (it is not in standard form)

10x^2+2x^7-1

a)

2

b)

10

c)

-1

d)

1

194.

Write this polynomial in standard form and identify its' leading coefficient:

7x^2-3x^5+1

a)

$-3x^5+1+7x^2$ Leading coefficient = -3

b)

$-3x^5+7x^2+1$ Leading coefficient = -3

c)

$-3x^5+7x^2+1$ Leading coefficient = 3

195.

Write this polynomial in standard form:

100a+45a^2-14a^3-54a^7

a)

$-54a^7-14a^3+45a^2+100a$

b)

$45a^2-14a^3+100a-54a^7$

c)

$-14a^3+45a^2-54a^7+100a$

196.

Write the polynomial in standard form and identify the leading coefficient:

20a^2+10a^6+12a+5

a)

$5+12a+10a^6+20a^2$ Leading coefficient = 5

b)

$12a+5+20a^2+10a^6$ Leading coefficient = 10

c)

$10a^6+20a^2+12a+5$ Leading coefficient = 10

197.

Fill in the blank. The __________ is the highest exponent of a variable when a polynomial is in standard form.

a)

coefficient

b)

degree

c)

monomial

d)

term

198.

Classify the following polynomial

a)

quartic polynomial

b)

quadratic polynomial

c)

quartic trinomial

d)

quadratic trinomial

199.

Classify the following polynomial

a)

Quintic Polynomial

b)

Quartic Polynomial

c)

polynomial

200.

Classify the following polynomial

a)

quadratic trinomial

b)

cubic binomial

201.

Classify the following polynomial

a)

binomial polynomial

b)

quadratic binomial

c)

quartic binomial

202.

Classify the polynomial:
3x² – 8x + 1

a)

quadratic trinomial

b)

cubic trinomial

c)

quadratic binomial

d)

cubic binomial

203.

______________________________ arranges the terms by degree in descending numerical order.

a)

degree of polynomial

b)

polynomial

c)

terms

d)

standard form of polynomial

204.

Is this expression in Standard Form?
6w² - 9w³

a)

Yes

b)

No

205.

What is the degree?
- 3x³ - x² - 10x + 12

a)

1

b)

2

c)

3

d)

4

206.

What is the degree?
(x-3)(x²+2x+7)

a)

4

b)

3

c)

2

d)

1

207.

What is the degree?
(4x+1)(5x−2)

a)

4

b)

3

c)

2

d)

1

208.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

209.

Subtract

a)

-5
-8
3
10

b)

-9
8
3
2

c)

5
-8
3
10

d)

-5
8
3
2

210.

Find A-B

a)

-3 1
7 -1

b)

1 0
1 -4

c)

-4 0
6 -1

d)

not possible because rows do not match columns

211.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

212.

What comes first in the order?

a)

Row

b)

Column

213.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

214.

Multiply

a)

25
25
5

b)

-25
25
-5

c)

-10
-10
-6

d)

10
10
6

215.

Can the operation be performed?

a)

Yes

b)

No

c)

Sometimes

d)

only Ms. Hamlett knows

216.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

217.

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

218.

In Matrix R (pictured) what element is in the second row, third column?

a)

8

b)

9.01

c)

6

d)

1

219.

How many rows are in a 7 x 3 matrix?

a)

7

b)

3

c)

21

d)

10

220.

How many columns are in a 5 x 4 matrix?

a)

5

b)

4

c)

20

d)

9

221.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

222.

Find the GCF of 64 and 144

a)

8

b)

6

c)

16

d)

2

223.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

224.

What is the GCF of 4 and 12?

a)

3

b)

1

c)

6

d)

4

225.

What is the greatest factor of 28 and 49?

a)

1

b)

2

c)

7

d)

12

226.

What is the GCF of 20 and 30?

a)

5

b)

2

c)

10

d)

20

227.

What is the greatest factor of 28 and 49?

a)

1

b)

2

c)

7

d)

12

228.

What is the GCF of 20 and 30?

a)

5

b)

2

c)

10

d)

20

229.

GCF of 99 and 54

a)

9

b)

3

c)

6

d)

8

230.

Jane has 18 juice boxes, 24 bags of peanuts and 36 apples. She wants to make snack bags with the same number of each thing in each bag. What is the greatest number of snack bags Jane can make.

a)

4

b)

6

c)

8

d)

10

231.

Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?

a)

1

b)

2

c)

3

d)

4

232.

GCF of 24 and 56

a)

2

b)

4

c)

6

d)

8

233.

What is the GCF of 20, 44, and 88?

a)

4

b)

2

c)

22

d)

1

234.

What is the GCF of 72, 96, and 84?

a)

2

b)

7

c)

12

d)

4

235.

Factor
k²+7k+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

236.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

237.

factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

238.

Factor
9x²+9x-10

a)

(3x-5)(3x+2)

b)

(3x+5)(3x-2)

c)

(3x+5)(3x+2)

d)

Not Factorable

239.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

240.

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)

241.

Factor and solve:
14=2x²- 12x

a)

x=7,1

b)

x=-7,1

c)

x=-1,7

d)

No solution

242.

Solve
a² + 10a + 21 = 0

a)

± √21

b)

-3 , -7

c)

3 , 7

d)

28 , -7

243.

Solve
h² + 7h + 10 = 0

a)

A. h= -5, -2

b)

B. h= 5, 2

c)

C. h = -1, ^-10/₆

d)

D. h = ^-2/₅, -10

244.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

Final Project Remediation

Total questions: 244

Worksheet time: 8hrs 10mins