Free Printable Final Exam IMI (Part 1) Ms. D

1.

Solve the inequality.

$-5x\ -\ 7\ <\ 28$

a)

x > -7

b)

x < -7

c)

x > $\frac{21}{5}$

d)

x < $\frac{-21}{5}$

2.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

3.

Solve the inequality.

$-4d\ -\ 9\ \le\ 3$

a)

$d\ \ge\ \frac{6}{13}$

b)

$d\ \ge\ \frac{3}{13}$

c)

$d\ \ge\ -1\frac{1}{2}$

d)

$d\ \ge\ -3$

4.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

5.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

6.

6 + 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

7.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

8.

-4x + 5 ≤ 29

a)

x ≥ 6

b)

x ≤ -6

c)

x ≥ -6

d)

x ≤ 6

9.

Solve:
8w - 8 = -4w + 16

a)

8

b)

16

c)

24

d)

2

10.

Solve:
7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

11.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

12.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

13.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

14.

4( x + 2) = 16

What is the solution to the equation?

a)

-2

b)

0

c)

1

d)

2

15.

What is the solution to this equation?

2x + 3 = x − 4

a)

-3

b)

0

c)

-7

d)

7

16.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

17.

What is the definition of infinite solutions?

a)

no matter what constant is substituted in for the variable, the equation is ALWAYS true

b)

no matter what constant is substituted in for the variable, the equation will NEVER be true

c)

only this ONE solution will make the equation true

18.

What is the definition of no solution?

a)

no matter what constant is substituted in for the variable, the equation is ALWAYS true

b)

no matter what constant is substituted in for the variable, the equation will NEVER be true

c)

only this ONE solution will make the equation true

19.

How many solutions does this equation have?

6x - 3 = 6x + 9

a)

One Solution

b)

No Solution

c)

Many Solutions

20.

How many solutions does this equation have?

8y - 4 = 8y - 4

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

21.

How many solutions does this equation have?

2x + 9 = 2x + 9

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

22.

Which answer represents an equation with infinite solutions?

a)

2x = 2x

b)

5≠6

c)

3x = 7

d)

3=3

23.

How Many Solutions Does

This Equation Have?

7(2x + 5) = 12x – 1

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

24.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

25.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

26.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = -1/3 and m = -1/3

a)

Parallel

b)

Perpendicular

c)

Neither

d)

can not be determined

27.

Which point on the x-axis lies on the line that passes through point C and is parallel to line AB?

a)

(1, 0)

b)

(1, 1)

c)

(0, 2)

d)

(2, 0)

28.

Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?

a)

(0, 1)

b)

(0, 4)

c)

(1, 0)

d)

(4, 0)

29.

A line contains the points (4, 3) and (19, −2). Which equation represents this line?

a)

y = -x + 7

b)

y = -3x + 12

c)

y = - 1/3x + 13/3

d)

y = 1/3x + 5/3

30.

What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2 (3, -4)

a)

y = 3x - 2

b)

y = -1/3x - 5

c)

y = 3x - 4

d)

y = -1/3x - 3

31.

Which point is on the line that passes through point H and is perpendicular to line FG?

a)

(–6, 10)

b)

(–2, –12)

c)

(0, –2)

d)

(4, 2)

32.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

33.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

34.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

35.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

36.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

37.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

38.

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

39.

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)

40.

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

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

41.

Determine the slope and y-intercept from the following equation:

4x + y = -10

a)

slope: 4 y-intercept: (0,10)

b)

slope: -4 y-intercept: (0,-10)

c)

slope: -4 y-intercept: (0,10)

d)

slope: 4 y-intercept: (0,-10)

42.

Which of these represents standard form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

43.

Write in standard form.
y = -3x + 5

a)

y = -3x + 5

b)

3x + y = 5

c)

3x - y = 5

d)

-3x + y = -5

44.

Write in standard form.
2x - 2 = 6y

a)

2x - 6y = 2

b)

2x + 6y = 2

c)

2x + 6y = -2

d)

2x - 6y = -2

45.

Write in standard form.
y = 2x +1

a)

-2x + y = 1

b)

2x + y = -1

c)

2x - y = -1

d)

2x + y = -1

46.

Write in standard form.
4y - 3 = 6x + 6

a)

6x - 4y = -9

b)

6x - 4y = 3

c)

4y - 6x = -9

d)

4x + 4y = 3

47.

Write in standard form.
y - 2 = 3x

a)

3x - y = -2

b)

3x + y = -2

c)

3x - y = 2

d)

-3x - y = -2

48.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

49.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

50.

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

a)

A

b)

B

c)

C

d)

D

51.

Find the slope between the two given points: (-2,1) and (5,7)

a)

7/6

b)

2

c)

6/7

d)

-2

52.

Write the equation of the line.

a)

y=(3/5)x+1

b)

y=(3/5)x-1

c)

y=(5/3)x+1

d)

y=(3/5)x+1

53.

Write down the equation of this line.

a)

y= 2x+1

b)

y= −2x+1

c)

y= 2x−½

d)

None of the above

54.

What is the equation of this line in the form of y=mx+b.

(a)

55.

Which equation best represents the line on the graph?

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

56.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

57.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=(-1/3)x-1

d)

y= -3x-3

58.

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

a)

A

b)

B

c)

C

d)

D

59.

Describe the slope of the line.

a)

negative slope

b)

0 slope

c)

positive slope

d)

undefined slope

60.

Which graph represents 2x + 4y = 12? Convert into y=mx+b

a)

b)

c)

d)

61.

Compare the function

t\left(x\right)=x-7

to the parent function

f\left(x\right)=x

a)

Vertical Translation Up 7 units

b)

Vertical Translation Down 7 units

62.

Compare the function (red) to the parent function (black).

a)

Vertical Translation Up 3 units

b)

Vertical Translation Down 3 units

63.

Compare the function

w\left(x\right)=x+13

to the parent function

f\left(x\right)=x

a)

Vertical Translation Up 13 units

b)

Vertical Translation Down 13 units

64.

Compare the function (red) to the parent function (black).

a)

Vertical Translation Up 9 units

b)

Vertical Translation Down 9 units

65.

Compare the function

a\left(x\right)=x-1.5

to the parent function

f\left(x\right)=x

a)

Vertical Translation Up 1.5 units

b)

Vertical Translation Down 1.5 units

66.

Compare the function

c\left(x\right)=x+100

to the parent function

f\left(x\right)=x

a)

Vertical Translation Up 100 units

b)

Vertical Translation Down 100 units

67.

Compare the function (red) to the parent function (black).

a)

Vertical Translation Up 8 units

b)

Vertical Translation Down 8 units

68.

Compare the function (red) to the parent function (black).

a)

Vertical Translation Up 4 units

b)

Vertical Translation Down 4 units

69.

Compare the function

d\left(x\right)=x-\frac{8}{3}

to the parent function

f\left(x\right)=x

a)

Vertical Translation Up 8/3 units

b)

Vertical Translation Down 8/3 units

70.

Compare the function

r\left(x\right)=x+\frac{3}{8}

to the parent function

f\left(x\right)=x

a)

Vertical Translation Up 3/8 units

b)

Vertical Translation Down 3/8units

71.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

72.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

73.

What function family do I belong to?

a)

linear

b)

Linear Absolute Value

c)

quadratic

d)

exponential

74.

What function family do I belong to?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Linear Absolute Value

75.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

76.

What function family do I belong to?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Linear Absolute Value

77.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

78.

What function family do I belong to?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Linear Absolute Value

79.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

LInear Absolute Value

80.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

81.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

82.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

83.

What function family do I belong to?

a)

Linear

b)

Exponential

c)

Quadratic
Quadratic

d)

Absolute Value Function

84.

Does this mapping diagram represent a function?

a)

No, because an input value goes to multiple output values

b)

Yes, because each input goes to one and only one output

85.

a)

Function

b)

Not a Function

86.

Is this is a function or not a function?

a)

Function

b)

Not a Function

87.

Is this a function or not a function?

a)

Function

b)

Not a Function

88.

Which set of ordered pairs 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)}

89.

The function rule is f(x) = -2x + 7. If the input is 10, what is the output?

a)

27

b)

-13

c)

-27

d)

13

90.

If my function rule is 4x, what is the OUTPUT if the input is 5?

a)

45

b)

54

c)

9

d)

20

91.

If my function rule is x - 5, what is the OUTPUT if the input is 14?

a)

9

b)

19

c)

21

d)

1

92.

Evaluate y = 7x when x = -5

a)

-35

b)

35

c)

2

d)

75

93.

Evaluate y = x + 5 when x = 3.

a)

8

b)

2

c)

9

d)

6

94.

Evaluate y = 4x - 1 when x = 10.

a)

39

b)

41

c)

399

d)

38

95.

f(x)=2x+2

for x = 4

a)

6

b)

-8

c)

10

d)

0

96.

Evaluate f(x) = x² for x = -8

a)

64

b)

-64

c)

-16

d)

16

97.

Find the missing x-value:

a)

6

b)

-6

c)

-62

d)

8.6

98.

What is the missing number?

y = x+8

a)

6

b)

7

c)

5

d)

4

99.

Solve the inequality.

$-5x\ -\ 7\ <\ 28$

a)

x > -7

b)

x < -7

c)

x > $\frac{21}{5}$

d)

x < $\frac{-21}{5}$

100.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

101.

Solve the inequality.

$-4d\ -\ 9\ \le\ 3$

a)

$d\ \ge\ \frac{6}{13}$

b)

$d\ \ge\ \frac{3}{13}$

c)

$d\ \ge\ -1\frac{1}{2}$

d)

$d\ \ge\ -3$

102.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

103.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

104.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

105.

6 + 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

106.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

107.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

108.

-4x + 5 ≤ 29

a)

x ≥ 6

b)

x ≤ -6

c)

x ≥ -6

d)

x ≤ 6

109.

Solve:
10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

110.

Solve:
8w - 8 = -4w + 16

a)

8

b)

16

c)

24

d)

2

111.

Solve:
7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

112.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

113.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

114.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

115.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

116.

4( x + 2) = 16

What is the solution to the equation?

a)

-2

b)

0

c)

1

d)

2

117.

4k + 24 = 6k -10

a)

k = 17

b)

k =-17

c)

k= 5

d)

k = 1/5

118.

What is the solution to this equation?

2x + 3 = x − 4

a)

-3

b)

0

c)

-7

d)

7

119.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

120.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

121.

What is the definition of one solution?

a)

no matter what constant is substituted in for the variable, the equation is ALWAYS true

b)

no matter what constant is substituted in for the variable, the equation will NEVER be true

c)

only this ONE solution will make the equation true

122.

What is the definition of infinite solutions?

a)

no matter what constant is substituted in for the variable, the equation is ALWAYS true

b)

no matter what constant is substituted in for the variable, the equation will NEVER be true

c)

only this ONE solution will make the equation true

123.

What is the definition of no solution?

a)

no matter what constant is substituted in for the variable, the equation is ALWAYS true

b)

no matter what constant is substituted in for the variable, the equation will NEVER be true

c)

only this ONE solution will make the equation true

124.

How many solutions does this equation have?

6x - 3 = 6x + 9

a)

One Solution

b)

No Solution

c)

Many Solutions

125.

How many solutions does this equation have?

8y - 4 = 8y - 4

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

126.

How many solutions does this equation have?

2x + 9 = 2x + 9

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

127.

How many solutions does this equation have?

3z + 7 = 7 + 3z

a)

One Solution

b)

No Solution

c)

Infinitely many solutions

128.

Which answer represents an equation with infinite solutions?

a)

2x = 2x

b)

5≠6

c)

3x = 7

d)

3=3

129.

How many solutions does the following equation have?

−2x + 9 + 6x = −3x + 2

a)

One Solution

b)

No Solutions

c)

Infinitely Many Solutions

d)

Two solutions

130.

How Many Solutions Does

This Equation Have?

7(2x + 5) = 12x – 1

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

131.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

132.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

133.

The following represents slopes of two lines.
Which answer choice describes the two lines?
m = 5 and m = -1/5

a)

Parallel

b)

Perpendicular

c)

Neither

d)

can not be determined

134.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = -1/3 and m = -1/3

a)

Parallel

b)

Perpendicular

c)

Neither

d)

can not be determined

135.

Which of the following lines goes through the point (-3, 4) and is perpendicular to
y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

136.

Which point on the x-axis lies on the line that passes through point C and is parallel to line AB?

a)

(1, 0)

b)

(1, 1)

c)

(0, 2)

d)

(2, 0)

137.

Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?

a)

(0, 1)

b)

(0, 4)

c)

(1, 0)

d)

(4, 0)

138.

A line contains the points (4, 3) and (19, −2). Which equation represents this line?

a)

y = -x + 7

b)

y = -3x + 12

c)

y = - 1/3x + 13/3

d)

y = 1/3x + 5/3

139.

What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2 (3, -4)

a)

y = 3x - 2

b)

y = -1/3x - 5

c)

y = 3x - 4

d)

y = -1/3x - 3

140.

Which point is on the line that passes through point H and is perpendicular to line FG?

a)

(–6, 10)

b)

(–2, –12)

c)

(0, –2)

d)

(4, 2)

141.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

142.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

143.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

144.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

145.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

146.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

147.

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

148.

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)

149.

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

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

150.

Determine the slope and y-intercept from the following equation:

4x + y = -10

a)

slope: 4 y-intercept: (0,10)

b)

slope: -4 y-intercept: (0,-10)

c)

slope: -4 y-intercept: (0,10)

d)

slope: 4 y-intercept: (0,-10)

151.

Which of these represents standard form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

152.

Write in standard form.
y = -3x + 5

a)

y = -3x + 5

b)

3x + y = 5

c)

3x - y = 5

d)

-3x + y = -5

153.

Write in standard form.
2x - 2 = 6y

a)

2x - 6y = 2

b)

2x + 6y = 2

c)

2x + 6y = -2

d)

2x - 6y = -2

154.

Write in standard form.
y = 2x +1

a)

-2x + y = 1

b)

2x + y = -1

c)

2x - y = -1

d)

2x + y = -1

155.

Write in standard form.
4y - 3 = 6x + 6

a)

6x - 4y = -9

b)

6x - 4y = 3

c)

4y - 6x = -9

d)

4x + 4y = 3

156.

Write in standard form.
y - 2 = 3x

a)

3x - y = -2

b)

3x + y = -2

c)

3x - y = 2

d)

-3x - y = -2

157.

Define arithmetic sequences.

a)

A sequence whose terms change by adding the same number each time.

b)

A sequence whose terms change by multiplying the same number each time.

c)

A sequence whose terms change by dividing the same number each time.

d)

A list of numbers that often (but not always) form a pattern.

158.

What does a₁ represent?

a)

Any term

b)

First term

c)

Last term

159.

Identify a₁

97, 86, 75, 64, ...

a)

64

b)

11

c)

-11

d)

97

160.

a1 =

a)

1

b)

2

c)

3

d)

5

161.

a3 =

a)

14

b)

2

c)

3

d)

8

162.

Is this graph Arithmetic or Geometric?

a)

Arithmetic

b)

Geometric

163.

This sequence represents a(n)....

a)

Arithmetic Sequence

b)

Geometric Sequence

c)

Neither

164.

Find the common ratio: 4, -16, 64, -256, ...

a)

r = -4

b)

r = 2

c)

r = -2

d)

r = 4

165.

This sequence is a(n)...

a)

Arithmetic Sequence with a common difference of 5

b)

Arithmetic Sequence with a common ratio of 5

c)

Geometric Sequence with a common difference of 5

d)

Geometric Sequence with a common ratio of 5

166.

Write the recursive rule for the given sequence

a)

$a_1\ =\ 2\ \ ;\ a_n=\ a_{n+1}\ +\ 3$

b)

2 $a_1\ =\ 2\ \ ;\ a_n=\ a_{n+1}\ +\ 2$

c)

$a_1\ =\ 1\ \ ;\ a_n=\ a_{n+1}\ \cdot\ 3$

d)

5 $a_1\ =\ 1\ \ ;\ a_n=\ a_{n+1}\ \cdot\ 2$

167.

Which formula is used to find the explicit equation for geometric sequences?

a)

a_n = a_n-1 + d

b)

a_n = a_n-1 * r

c)

a_n = a₁ + d(n-1)

d)

a_n = a₁ * r^n-1

168.

Given the sequence:

125, 25, 5, ....

Write the explicit rule:

a)

a_n= (125)(1/5)^(n-1)

b)

a_n = 625(1/5)^(n-1)

c)

a_n = 625(5)⁽ⁿ⁾

d)

a_n = 125 + 5n

169.

Which sequence is represented by the equation a_n = 2(7)^n-1 ?

a)

7, 14, 28, 56...

b)

2, 14, 98, 686...

c)

2, 9, 16, 23...

d)

7,9,11,13...

170.

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence.

a)

a_n = 29-4(n-1)

b)

a_n = 4+25(n-1)

c)

a_n= 25-4(n-1)

d)

a_n = 4n + 25

171.

Given the following sequence and a_n = 7, what is a_n+1?

2, 7, 12, 17,...

a)

2

b)

12

c)

17

d)

22

172.

The explicit rule for the given graph is...

a)

a $a_n=\ 2\cdot3^{n-1}$

b)

$a_n=\ 2\cdot2^{n-1}$

c)

$a_n=\ 2+\ 2\left(n-1\right)$

d)

$a_n=\ 3\ +\ 2^{n-1}$

173.

This graph is...

a)

Arithmetic

b)

Geometric

c)

Neither

174.

Compare the function

t\left(x\right)=x-7

to the parent function

f\left(x\right)=x

a)

Vertical Translation Up 7 units

b)

Vertical Translation Down 7 units

175.

Compare the function (red) to the parent function (black).

a)

Vertical Translation Up 3 units

b)

Vertical Translation Down 3 units

176.

Compare the function

w\left(x\right)=x+13

to the parent function

f\left(x\right)=x

a)

Vertical Translation Up 13 units

b)

Vertical Translation Down 13 units

177.

Compare the function (red) to the parent function (black).

a)

Vertical Translation Up 9 units

b)

Vertical Translation Down 9 units

178.

Compare the function

a\left(x\right)=x-1.5

to the parent function

f\left(x\right)=x

a)

Vertical Translation Up 1.5 units

b)

Vertical Translation Down 1.5 units

179.

Compare the function

c\left(x\right)=x+100

to the parent function

f\left(x\right)=x

a)

Vertical Translation Up 100 units

b)

Vertical Translation Down 100 units

180.

Compare the function (red) to the parent function (black).

a)

Vertical Translation Up 8 units

b)

Vertical Translation Down 8 units

181.

Compare the function (red) to the parent function (black).

a)

Vertical Translation Up 4 units

b)

Vertical Translation Down 4 units

182.

Compare the function

d\left(x\right)=x-\frac{8}{3}

to the parent function

f\left(x\right)=x

a)

Vertical Translation Up 8/3 units

b)

Vertical Translation Down 8/3 units

183.

Compare the function

r\left(x\right)=x+\frac{3}{8}

to the parent function

f\left(x\right)=x

a)

Vertical Translation Up 3/8 units

b)

Vertical Translation Down 3/8units

184.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

185.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

186.

What function family do I belong to?

a)

linear

b)

Linear Absolute Value

c)

quadratic

d)

exponential

187.

What function family do I belong to?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Linear Absolute Value

188.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

189.

What function family do I belong to?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Linear Absolute Value

190.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

191.

What function family do I belong to?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Linear Absolute Value

192.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

LInear Absolute Value

193.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

194.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

195.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

196.

What function family do I belong to?

a)

Linear

b)

Exponential

c)

Quadratic
Quadratic

d)

Absolute Value Function

197.

Does this mapping diagram represent a function?

a)

No, because an input value goes to multiple output values

b)

Yes, because each input goes to one and only one output

198.

a)

Function

b)

Not a Function

199.

Is this is a function or not a function?

a)

Function

b)

Not a Function

200.

Is this a function or not a function?

a)

Function

b)

Not a Function

201.

Which set of ordered pairs 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)}

202.

The function rule is f(x) = -2x + 7. If the input is 10, what is the output?

a)

27

b)

-13

c)

-27

d)

13

203.

If my function rule is 4x, what is the OUTPUT if the input is 5?

a)

45

b)

54

c)

9

d)

20

204.

If my function rule is x - 5, what is the OUTPUT if the input is 14?

a)

9

b)

19

c)

21

d)

1

205.

Evaluate y = 7x when x = -5

a)

-35

b)

35

c)

2

d)

75

206.

Evaluate y = x + 5 when x = 3.

a)

8

b)

2

c)

9

d)

6

207.

Evaluate y = 4x - 1 when x = 10.

a)

39

b)

41

c)

399

d)

38

208.

f(x)=2x+2

for x = 4

a)

6

b)

-8

c)

10

d)

0

209.

Evaluate f(x) = x² for x = -8

a)

64

b)

-64

c)

-16

d)

16

210.

Find the missing x-value:

a)

6

b)

-6

c)

-62

d)

8.6

211.

What is the missing number?

y = x+8

a)

6

b)

7

c)

5

d)

4

Final Exam IMI (Part 1) Ms. D

Total questions: 211

Worksheet time: 10hrs 28mins

Similar Resources on Wayground