Free Printable M8 - End of Course Exam

1.

Simplify. Your answer should contain only positive exponents.

3⁴⋅ 3⁷

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

2.

Simplify. Your answer should contain only positive exponents.

(8⁵)³

a)

$8^8$

b)

$8^{15}$

c)

$8^2$

d)

$\frac{1}{8^2}$

3.

Simplify. Your answer should contain only positive exponents.

$\frac{5^7}{5^2}$

a)

$5^{14}$

b)

$5^9$

c)

$5^5$

4.

Simplify. Your answer should contain only positive exponents.

6^-4

a)

$6^4$

b)

$\frac{1}{6^{4\ }}$

c)

$\frac{1}{6}$

d)

$6^2$

5.

Simplify. Your answer should contain only positive exponents.

$17^0$

(a)

6.

Simplify. Your answer should contain only positive exponents.

$\frac{4y}{3x^{-2}}$

a)

$\frac{4y}{3}$

b)

$\frac{4x^2y}{3}$

c)

$\frac{3x^2}{4y}$

d)

$\frac{4y^2}{3x}$

7.

Simplify. Your answer should contain only positive exponents.

2x⁰y³

a)

2y²

b)

2xy

c)

2y³

d)

1

8.

Simplify. Your answer should contain only positive exponents.

$4x^{-2}y$

a)

$\frac{4y}{x^2}$

b)

$\frac{1x^2}{4y}$

c)

$\frac{4}{x^2y}$

d)

$\frac{1y}{4x^2}$

9.

Simplify. Your answer should contain only positive exponents.

$\frac{6x^0}{2y^{-1}}$

(a)

10.

Simplify. Your answer should contain only positive exponents.

$\frac{6^3}{6^5}$

a)

$6^{-2}$

b)

$\frac{1}{6^2}$

c)

$6^2$

d)

$\frac{1}{6}$

11.

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

12.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

13.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

14.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

15.

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.

16.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

17.

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)

18.

Which of the following numbers is rational?

a)

$\sqrt{7}$

b)

$\frac{2}{3}$

c)

3.1456289...

d)

$\pi$

19.

Which of the following numbers is not rational?

a)

$-3$

b)

$2.7$

c)

$\sqrt{4}$

d)

$\sqrt{5}$

20.

Which of the following is an irrational number?

a)

$\sqrt{0}$

b)

$\sqrt{3}$

c)

$1\overline{.36}$

d)

$-0.19$

21.

Select ALL numbers that are irrational.

a)

10

b)

-21

c)

$\pi$

d)

$\frac{10}{2}$

e)

$\sqrt{10}$

22.

Determine which of the following examples is irrational.

a)

A fraction whose denominator is larger than its numerator

b)

A decimal that never ends but repeats

c)

A perfect cube root

d)

A decimal that never ends and never repeats

23.

What type of correlation does this scatterplot represent?

a)

positive correlation

b)

no correlation

c)

negative correlation

d)

non-linear association

24.

What kind of correlation does this scatterplot show?

a)

negative correlation

b)

no correlation

c)

positive correlation

d)

non-linear association

25.

Which best describes the scatter plot below?

a)

linear, negative correlation

b)

non-linear, decreasing

c)

linear, positive correlation

d)

non-linear, increasing

26.

Label the type of association shown by the scatter plot as positive, negative or none.

a)

positive

b)

negative

c)

none

27.

What is the best method to solve this system of equation

5x + 4y= −14

y = −7x − 15

a)

Substitution, because one equation is solved for y

b)

Substitution, because no equation is solved for y.

c)

Elimination, because one equation is solved for y.

d)

Elimination, because no equation is solved for y.

28.

What is the best method to solve the system of equation

y = 2x + 1

y = 4x - 1

a)

Substitution, because one or more of the equations are solved for y.

b)

Substitution, because no equation is solved for y.

c)

Elimination, because one or more of the equations are solved for y.

d)

Elimination, because no equation is solved for y.

29.

What answer best represents the first step in solving the system of equation.

5x + 4y= −14

y = −7x − 15

a)

5(-7x -15) + 4y = -14

b)

5x + 4(-7x - 15) = -14

c)

5x +4(-7x) = -14

d)

5(-7x) + 4y = -14

30.

What answer best represents the first step in solving the system

y = 2x + 1

y = 4x - 1

a)

2x + 1 = 4x - 1

b)

2(4x - 1) + 1

c)

4(2x + 1) - 1

d)

2x = 4x

31.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

32.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

33.

What transformation is this?

a)

Translation

b)

Rotation

c)

Reflection

34.

Find the distance between these two points.

a)

13

b)

7.9

c)

9.2

d)

3.6

35.

If each square is one mile, how many miles is it from the mall to the movies?

a)

3.6 miles

b)

2.4 miles

c)

3.3 miles

d)

4 miles

36.

A rectangular pool at Andy's gym measures 25 m by 50 m. How far would Andy swim if he swims across the pool diagonally?

a)

5 m

b)

8.7 m

c)

43.3 m

d)

55.9 m

37.

When you solve an equation you get 8=8. How many solutions does that equation have?

a)

One

b)

None

c)

Infinite

38.

When you solve an equation you get x=4. How many solutions does that equation have?

a)

One

b)

None

c)

Infinite

39.

When you solve an equation you get 5=3. How many solutions does that equation have?

a)

One

b)

None

c)

Infinite

40.

Which series of transformations were performed in the figure?

a)

Translation 5 units down, reflection over the y-axis

b)

Reflection over the x-axis, translation 6 units right

c)

Rotation 90^oclockwise, reflection over the x-axis

d)

Rotation 180^oclockwise, reflection over the y-axis

41.

Identify the transformation.

a)

Translation down 6

b)

Reflection over the x-axis.

c)

Translation up 6

d)

Rotation 90 degrees clockwise

42.

Which correctly describes the two transformations that were used to create the image on the graph?

a)

Reflection over the y-axia and a rotation 90^o counter clockwise

b)

(x+10, y) and reflection over x-axis

c)

Rotation 90^o clockwise and a reflection over the x-axis

d)

Reflection over the x-axis ad a translation (x+6,y)

43.

Which of the following describes the sequence of transformations shown?

a)

Reflection followed by a rotation.

b)

Rotation followed by a translation.

c)

Reflection across the x-axis followed by a reflection across the y-axis.

d)

Translation followed by a rotation.

44.

Which sequence of transformations will result from shape F to its image shape F''?

a)

Reflection over both axes

b)

Reflection, then rotation

c)

Translation, then reflection

d)

Rotation, then translation

45.

What sequence of transformations will map trapezoid A to its image A'?

a)

Reflection, then translation

b)

Rotation, then translation

c)

Reflection, then rotation

d)

Rotation, then dilation

46.

To eliminate the y's, one needs to multiply the bottom equation by _______

a)

1

b)

-1

c)

-2

d)

2

47.

To eliminate the x's, one needs to multiply the top (or bottom) equation by _______

a)

1

b)

-1

c)

-2

d)

2

48.

To eliminate the x's, one needs to multiply the bottom equation by _______

a)

2

b)

3

c)

-2

d)

-3

49.

To eliminate the y's, one needs to multiply the top equation by _______

a)

2

b)

3

c)

-2

d)

-3

50.

4x + 8y = 20
-4x + 2y = -30
Which variable will be eliminated?

a)

The x

b)

The y

c)

The z

d)

The unknown

51.

4x + 8y = 20
-4x + 2y = -30
Which variable will be eliminated?

a)

The x

b)

The y

c)

The z

d)

The unknown

52.

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

a)

you cannot solve this using elimination

b)

cross out the 2x and 3x

c)

Add the like terms. The y terms will zero out.

d)

change to slope intercept form and graph

53.

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

a)

you cannot solve this using eliminiation

b)

cross out the 2x and 3x

c)

cross out the 2y and -2y

d)

change to slope intercept form and graph

54.

Determine the slope from the table.

a)

-2

b)

2

c)

-1/2

d)

1/2

55.

Determine the slope.

a)

-3

b)

3

c)

-1/3

d)

1/3

56.

Determine the slope.

a)

-2

b)

2

c)

-1/2

d)

1/2

57.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

58.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

59.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

60.

Find the slope given the points (2, −7) and (−1, 6).

a)

-13/3

b)

13/3

c)

0

d)

2/3

61.

The graph shows the proportional relationship between the number of days Restaurant T is open and how many people they served. The equation y=82x represents the relationship for Restaurant S. Which restaurant served more people?

a)

Restaurant S

b)

Restaurant T

c)

They both served the same amount of people

62.

Who spends more per day?

a)

Kameron

b)

Myriah

c)

They have spend the same amount each day.

63.

a)

Store A

b)

Store B

c)

Store C

64.

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

65.

a)

Function

b)

Not a Function

66.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

67.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

68.

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)

69.

-2(x - 5) = 12 - 3x

a)

No Solution

b)

Infinitely Many Solutions

c)

x = 5

d)

x = 2

70.

x + 6 = x

a)

No Solution

b)

Infinitely Many Solutions

c)

x = 0

d)

x = 6

71.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

72.

How many solutions does the equation have
6x + 3 = 6x + 3

a)

One Solution

b)

No Solution

c)

Infinite Solutions

73.

Identify the number of solutions for the equation below:

$3x-5=2x+4$

a)

No Solution

b)

One Solution

c)

Infinite Solutions

74.

Identify the number of solutions for the equation below:

-2x+7=-2x+7

a)

No Solution

b)

One Solution

c)

Infinite Solutions

75.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

76.

The solution is:

a)

(4, 3)

b)

(3, 4)

c)

(-4, 3)

d)

No solution

77.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

78.

What is the number of solutions to the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

79.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

80.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

81.

Angle S and A are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

82.

Angle C and P are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

83.

In the diagram, which of the following statements are false?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are corresponding angles

84.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

85.

a)

A

b)

B

c)

C

d)

D

86.

Find x

a)

87

b)

180

c)

93

d)

25

87.

Which of the following angles can you add together to equal angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

88.

What is the value of the missing angle?

a)

105

b)

80

c)

55

d)

25

89.

The (a) of the (b) created by the legs of a (c) triangle are (d) to the area of the square created by the (e) .

Choose from the below words

sum

areas

right

equal

hypotenuse

90.

Which equation will help you find the missing side?

a)

$4^2+10^2=c^2$

b)

$10^2-4^2=c^2$

c)

$c^2=100+10^2$

d)

$c^2+4^2=10^2$

91.

Which of these is closest to the length of PQ?

a)

10.9 units

b)

13 units

c)

2.4 units

d)

169 units

92.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

93.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

94.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

95.

Which runner stopped for a rest?

a)

Albert

b)

Bob

c)

Charlie

96.

Which runner won the race?

a)

Albert

b)

Bob

c)

Charlie

97.

What is happening at A?

a)

Stationary

b)

Accelerating

c)

Slower steady speed; moving away from the starting position

d)

Steady speed; returning to start position

98.

Which runner had a head start?

a)

A

b)

B

c)

C

99.

At what time did runner A pass runner B?

a)

0 seconds

b)

1 second

c)

2 seconds

d)

3 seconds

100.

Susie went to the store, when she got there she realized that she forgot her wallet and returned home.

Which graph matches this motion?

a)

b)

c)

d)

M8 - End of Course Exam - Final Review

Total questions: 100

Worksheet time: 3hrs 21mins

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