Free Printable 2nd Semester Final Review

1.

Write in exponential form
∛x⁷

a)

x⁷∕ ³

b)

x3⁄7

c)

3x⁷

d)

7x³

2.

Write as a radical expression
y²⁄ ³

a)

2y³

b)

√y³

c)

∛y²

d)

3y²

3.

Simplify:

a)

2

b)

8

c)

16

d)

32

4.

Simplify the following expression:

a)

2

b)

4

c)

16

d)

64

5.

Simplify:

a)

2

b)

4

c)

16

d)

64

6.

Write with rational exponents:√(7x)

a)

(7x)^½

b)

7x^½

c)

7x²

d)

(7x)²

7.

Rewrite the following

∛x⁵

a)

x^3/5

b)

x^5/3

c)

x²

d)

x³⋅x⁵

8.

Write in exponential form
∜(3x)³

a)

3x³⁄ ⁴

b)

(3x)³∕ ⁴

c)

(3x)⁴⁄ ³

d)

3x⁴⁄ ³

9.

Rewrite the expression using a radical exponent:

a)

x^{\frac{4}{3}}

b)

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

c)

$x^{\frac{1}{3}}$

d)

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

10.

Rewrite the expression using a radical exponent:

a)

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

b)

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

c)

$x^{\frac{1}{3}}$

d)

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

11.

Rewrite the radical exponent:

a)

$\ \sqrt{x}$

b)

$\ ^1\sqrt{x^2}$

c)

$\ ^{\ 3}\sqrt{x}$

12.

To find the average of a set of numbers, add up all the items and divide by...

a)

2

b)

The minimum

c)

The maximum

d)

The number of items

13.

What is the definition of the mean?

a)

The average

b)

The middle number

c)

The difference between the highest and lowest numbers

d)

The number that occurs the most

14.

When finding the median, what do you do if there are two middle numbers?

a)

Add them together and divide by 2

b)

Write them both as the answer

c)

Give up

d)

Pick one

15.

The height of three basketball players is 210 cm, 220 cm and 191 cm.
What is their average height?

a)

210

b)

207

c)

220

d)

200

16.

What is the range of miniature golf scores?

a)

44 points

b)

29 points

c)

33 points

d)

39 points

17.

What is the range of Susie's Test Scores?

a)

40

b)

30

c)

15

d)

25

18.

What is the mode?

a)

# happening the most

b)

the average

c)

biggest - smallest

d)

the middle #

19.

A data set can have more than one mode

a)

True

b)

False

20.

What is the definition of the range?

a)

The average

b)

The number that occurs the most

c)

The middle number

d)

The difference of the largest and smallest numbers

21.

A data set can have more than one median?

a)

True

b)

False

22.

Describe the shape of Daniel's data

a)

skewed left

b)

skewed right

c)

symmetrical

23.

Describe the shape of the data in the dot plot below.

a)

Symmetric

b)

Skewed Right

c)

Skewed Left

d)

Uniform

24.

Which type of graph displays data in consecutive and equivalent intervals?

a)

Histogram

b)

Line Plot

c)

Stem and Leaf

d)

Circle graph

25.

How many parks have at least 40 trees?

a)

26

b)

31

c)

17

d)

22

26.

How many people watched more than 6 hours of TV?

a)

10

b)

5

c)

20

d)

17

27.

While hanging Christmas lights for neighbors, Shawna counted the number of broken lights on each string. How many strings are there in all?

a)

10

b)

18

c)

26

d)

44

28.

You can find mean, median, mode, and range from a histogram.

a)

True

b)

False

29.

Is a histogram the same as a bar graph?

a)

Yes, because they both use intervals.

b)

No, because a histogram displays numerical data while a bar graph displays categorical data.

c)

Yes, because they both use bars to display data.

d)

No, because a histogram displays categorical data while a bar graph displays numerical data.

30.

Which interval shows the greatest number of pets?

a)

15-19

b)

0-4

c)

5-9

d)

10-14

31.

What is the median test score on the 6TH Grade Math Test?

a)

78

b)

85

c)

93

d)

97

32.

What is the the first quartile for the data on the 6TH Grade Math Test?

a)

68

b)

78

c)

85

d)

93

33.

What is the the third quartile for the data on the 6TH Grade Math Test?

a)

68

b)

78

c)

85

d)

93

34.

What is the maximum score on the 6TH Grade Math Test?

a)

78

b)

85

c)

93

d)

97

35.

What percent of students have a height between 58 inches and 60 inches?

a)

25%

b)

50%

c)

75%

d)

100%

36.

What percentage of the data is between 40 and 150?

a)

25 %

b)

50%

c)

75%

d)

100%

37.

Which is true about this graph??

a)

it is shaded above and has a dashed line

b)

it is shaded below and has a solid line

c)

it is shaded above and has a solid line

d)

it is shaded below and has a dashed line

38.

Identify the inequality.

a)

y > 2

b)

y ≤ 1

c)

x ≥ 2

d)

y ≥ 1

39.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

40.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

41.

Which graph represents the inequality?

a)

b)

c)

d)

42.

How can I tell if an inequality will have a dotted line?

a)

It has an equal sign.

b)

The symbol is < or >.

c)

The symbol has "or equal to."

d)

The world may never know...

43.

Which graph represents the inequality?

a)

b)

c)

d)

44.

Graph x < - 3

a)

b)

c)

d)

45.

Graph 5x - 2y < 10

a)

b)

c)

d)

46.

Find the slope of the line that passes through:
(5, -10) and (5, -4)

a)

undefined

b)

0

c)

- 14/10

d)

10/14

47.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

48.

Find the slope of the line that passes through:
(-2, 8) and (0, 8)

a)

0

b)

-2

c)

2

d)

1/2

49.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

50.

Which equation best represents the line on the graph?

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

51.

Identify the slope and y -intercept in the equation:

a)

y = 2x - 2

b)

y = -2x + 2

c)

y = -2x + 4

d)

y = 2x + 4

52.

Find the slope

a)

7/3

b)

3/7

c)

-3/7

d)

-7/3

53.

Find the slope

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

54.

Find the slope of the given line.

a)

1/2

b)

2

c)

-2

d)

-1/2

55.

Find the slope of the given table.

a)

1/4

b)

4

c)

-1/4

d)

-4

56.

Find the rate of change given by this table.

a)

-2

b)

-0.67

c)

2/9

d)

2/3

57.

What is Mrs. Gordon's rate from 0 to 2 seconds?

a)

2.5 feet per second

b)

.4 feet per second

c)

5 feet per second

d)

.2 feet per second

58.

Pick the correct inequality equation that represents the graph.

a)

$x>5$

b)

$x<5$

c)

$x\ge5$

d)

$x\le5$

59.

Pick the correct inequality equation that represents the graph.

a)

$x>-1$

b)

$x<-1$

c)

$x\ge-1$

d)

$x\le-1$

60.

Pick the correct inequality equation that represents the graph.

a)

$x>5$

b)

$x<5$

c)

$x\ge5$

d)

$x\le5$

61.

Pick the correct inequality equation that represents the graph.

a)

$x>-6$

b)

$x<-6$

c)

$x\ge-6$

d)

$x\le-6$

62.

-9p > 18

a)

p<2

b)

p<-2

c)

p>1/2

d)

p>-1/2

63.

What inequality does the number line graph represent?

a)

2x +1 < -3

b)

x + 2 < 4

c)

-x + 3 > 1

d)

x + 4 >= 2

64.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

65.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

66.

Which equation represents slope intercept form?

a)

y=5+2x

b)

5y=x+5

c)

y=2x+5

d)

4y+2x=8

67.

Select the two lines that are perpendicular.

a)

$y=4x-2$

b)

$y=-\frac{1}{4}x$

c)

$y=-4x+1$

d)

None are perpendicular.

68.

Slopes of perpendicular lines are...

a)

opposite (sign) reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

69.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

70.

A line is perpendicular to
y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

71.

$-5x+y=1$
What is the slope of a line perpendicular to the line represented by the equation?

a)

$5$

b)

$-5$

c)

$\frac{1}{5}$

d)

$-\frac{1}{5}$

72.

Which equation is the graph of line that is perpendicular to the line $y=-\frac{6}{7}x+7$

a)

$y=-\frac{6}{7}x-2$

b)

$y=\frac{6}{7}x+1$

c)

$y=\frac{7}{6}x-8$

d)

$y=-\frac{7}{6}x+12$

73.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

74.

Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?

a)

$y=-\frac{5}{2}x+7$

b)

$y=\frac{5}{2}x-19$

c)

$y=\frac{2}{5}x$

d)

$y=2x-5$

75.

Which graph would be parallel to the graph of the equation y = - ⅔ x + 20

a)

b)

c)

d)

76.

What is the slope of the line that is perpendicular to the line in the graph?

a)

5

b)

-5

c)

⅕

d)

-⅕

77.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

78.

Which angles are vertical angles?

a)

$\angle8\ \ and\ \angle7$

b)

$\angle8\ and\ \angle6$

c)

$\angle8\ and\ \angle5$

79.

What angle pair is pictured?

a)

Alternate Interior Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Corresponding Angles

80.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

81.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

82.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

83.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Correpsonding

d)

Vertical Angles

84.

What type of angle pair is ∠1 and ∠3?

a)

alternate interior angles

b)

supplementary angles

c)

corresponding angles

d)

vertical angles

85.

Name the angle relationship.

a)

Consecutive Interior

b)

Alternate Interior

c)

Corresponding

d)

Vertical Angles

86.

Name a pair of alternate exterior angles.

a)

angle 1 & angle 2

b)

angle 2 & angle 7

c)

angle 1 & angle 7

d)

angle 1 & angle 8

87.

For alternate exterior angles to be congruent, the two lines must be _____________

a)

congruent

b)

parallel

c)

perpendicular

d)

bisectors

88.

If lines are parallel, then alternate interior angles are _____________

a)

congruent

b)

parallel

c)

complementary

d)

supplementary

89.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

90.

What is the measure of ∠6?

a)

55

b)

155

c)

45

d)

135

91.

What is the measure of ∠8?

a)

55

b)

155

c)

135

d)

45

92.

What is the measure of ∠3?

a)

55

b)

155

c)

45

d)

135

93.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

94.

Solve for x:

a)

x = 75

b)

x = 180

c)

x = 7

d)

x = 23

95.

Solve for x:

a)

x = 29.5

b)

x = 60

c)

x = 180

d)

x = 8

96.

Solve for x:

a)

x = -9

b)

x = 9

c)

x = 0

d)

x = 180

97.

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

a)

(-4,8)

b)

(18,22)

c)

(3,1)

d)

(-5,-7)

98.

Find the midpoint of the line segment with the given endpoints (3,9) and (5,9)

a)

(-1,0)

b)

(4,9)

c)

(6,7)

d)

(7,9)

99.

Find the midpoint of the line segment with the given endpoints (6,-6) and (-10,-10)

a)

(8,2)

b)

(-26,-14)

c)

(0,-10)

d)

(-2,-8)

100.

Find the midpoint of the line segment with the given endpoints (1,1) and (9,9)

a)

(5,5)

b)

(1,9)

c)

(17,17)

d)

(-4,-4)

101.

Find the distance between (-5, -8) and (-1, -16).

a)

8.9

b)

9.8

c)

10.3

d)

11

102.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.3

d)

32.4

103.

Find the distance between (-4, 5) and (7, 18).

a)

15.96

b)

16.08

c)

16.23

d)

17.03

104.

What is the distance between (2,9) and (1,5)?

a)

15

b)

17

c)

4.12

d)

3.87

105.

Find the length between H and F.

a)

-5

b)

5

c)

-6

d)

6

106.

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?

a)

11

b)

12

c)

8

107.

a)

120 degrees

b)

80 degrees

c)

100 degrees

d)

0 degrees

108.

a)

145 degrees

b)

155 degrees

c)

35 degrees

d)

0 degrees

109.

a)

20 degrees

b)

160 degrees

c)

180 degrees

d)

0 degrees

110.

Fill in the blank. This angle measures (a) degrees.

111.

a)

acute

b)

right

c)

obtuse

112.

a)

acute

b)

right

c)

obtuse

d)

none of the above

113.

What tool do we use to measure angles?

a)

Protractor

b)

Ruler

114.

This is the wrong way of using a protractor because __________.

a)

the bottom line of the angle is not aligned to the baseline of the protractor.

b)

the vertex of the angle is not aligned to the center point of the protractor.

115.

_{What is the measure of the following angle?}

a)

21 degrees.

b)

34 degrees.

c)

70 degrees.

d)

172 degrees.

116.

Find the angle above

a)

130^o

b)

120^o

c)

90^o

d)

50^o

117.

The drawing shows a compass and straight edge construction of...what?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a point on the line

c)

a perpendicular to a given line from a point NOT on the line

d)

an angle congruent to a given angle

118.

The given diagram is what kind of construction?

a)

Perpendicular bisector

b)

Congruent angles

c)

Angle bisector

d)

Congruent line segments

119.

When copying line segment AB using a straight edge and a compass, the compass should be used to:

a)

Draw an arc above point A

b)

Measure the length of segment AB

c)

Draw an arc between point A and point B

d)

Measure half the length of line segment AB

120.

What is being constructed in the figure?

a)

the perpendicular bisector of line m

b)

the line perpendicular to line m through a point on the line

c)

the line parallel to line m through a point NOT on the line

d)

an angle that has line m as its bisector

121.

What was duplicated?

a)

line

b)

line segment

c)

ray

d)

angle

122.

The drawing shows the arcs used to construct...what?

a)

a bisector of a given line

b)

a bisector of a given angle

c)

a perpendicular of a given line at a point on the line

d)

an angle congruent to a given angle

123.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

124.

What is this?

a)

Compass

b)

Circle creator

c)

Pencil swingy-thing

d)

Arc maker

125.

An angle that measures exactly 90°

a)

Acute Angle

b)

Right Angle

c)

Triangle

d)

Straight Angle

126.

What does this symbol mean?

≅

a)

not equal

b)

congruent

c)

equal

d)

half

127.

Which is a compass?

a)

b)

c)

d)

128.

Name the construction.

a)

Angle bisector

b)

Perpendicular line to a point not on a line

c)

Angle median

d)

Perpendicular bisector of a line segment

129.

Obtuse angles are greater than 90 degrees. This angle is 110 degrees, so it is obtuse.

a)

Deductive

b)

Inductive

130.

Snakes are reptiles and reptiles are cold blooded; therefore, snakes are cold blooded.

a)

Deductive

b)

Inductive

131.

All observed houses on South Street have roofs that are falling apart. Sherry lives on South Street. Her roof is falling apart.

a)

Deductive

b)

Inductive

132.

IF All even numbers are divisible by 2
AND 28 is even
THEN 28 is divisible by 2

a)

Inductive

b)

Deductive

133.

The type of reasoning where a person makes conclusions based on observations and patterns is called...

a)

Inductive reasoning

b)

Deductive reasoning

c)

Conjecture

d)

Experiments

134.

What is a conjecture?

a)

A statement believed to be true based on observations.

b)

An example which disproves an hypothesis.

c)

the performance of tricks that are seemingly magical

135.

Used to prove that a conjecture is false.

a)

Counterexample

b)

Inductive Reasoning

c)

Concluding statement

d)

Conjecture

136.

Which is a counterexample of: The difference of two numbers is less than the greater number.

a)

(5) - (2) = 3

b)

(-5) - (4) = -9

c)

(2) - 0 = 2

d)

(3) - (3) = 0

137.

Which number is a counterexample to the following statement? :
All numbers that are divisible by 2 are divisible by 4

a)

0

b)

12

c)

28

d)

42

138.

What does deductive reasoning use to form its arguments?

a)

patterns

b)

specific cases

c)

observed examples

d)

facts, definitions, accepted properties, and laws of logic

139.

Lee got A's on her first 6 math tests so she concludes she will always earn A's on math tests.

What type of reasoning was used?

a)

Inductive

b)

Deductive

140.

All students go to school. You are a student. Therefore you go to school.

What type of reasoning was used?

a)

Inductive

b)

Deductive

141.

Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

a)

If I have a Siberian Husky.

b)

I have a Siberian Husky.

c)

Then I have a dog.

d)

HI have a dog.

142.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.

a)

If the angles are congruent.

b)

The angles are congruent.

c)

Then the measures of the angles are equal.

d)

The measures of the angles are equal.

143.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

a)

If the measures of the angles are equal, then the angles are congruent.

b)

"If angles are not congruent, then the measures of the angles are not equal."

c)

If the measures of the angles are not equal, then the angles are not congruent.

d)

If the angles are not congruent, then the measure of the angles are equal.

144.

If something is an angle, then it is acute. What is an appropriate counterexample?

a)

70⁰

b)

45⁰

c)

120⁰

d)

True. There is no counterexample.

145.

If something is a vehicle, then it is a Ford. What is an appropriate counterexample?

a)

Ford Mustang

b)

Dodge Charger

c)

Ford F150

d)

Both A and C are counterexamples.

146.

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

a)

goldfish

b)

frog

c)

elephant

d)

cat

147.

When taking the converse we ___________ the hypothesis and conculsion

a)

negate

b)

switch

c)

highlight

d)

switch and negate

148.

Which is the correct if-then statement for: "you will be late to school if you miss the bus."

a)

If you are late to school, then you will miss the bus.

b)

If you miss the bus, then you will be late to school

c)

If you sleep late, then you don't have to go to school.

d)

If you miss the bus, then you'll have to walk and be late.

149.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

a)

If the measures of the angles are equal, then the angles are congruent.

b)

If angles are not congruent, then the measures of the angles are not equal.

c)

If the measures of the angles are not equal, then the angles are not congruent.

d)

If the angles are not congruent, then the measure of the angles are equal.

150.

Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Negation

151.

Which of the following is the inverse to the statement:
"If you diet and exercise, then you will lose weight."

a)

If you don't diet and exercise, then you will not lose weight.

b)

If you don't diet and exercise, then you will lose weight.

c)

If you lose weight, then you dieted and exercised.

d)

If you don't lose weight, then you diet and exercise.

152.

p→q
What is the contrapositive?

a)

q→p

b)

∼p→∼q

c)

∼q→∼p

d)

p→∼q

153.

p→q
What is the converse?

a)

q→p

b)

∼p→∼q

c)

∼q→∼p

d)

p→∼q

154.

p→q
What is the inverse?

a)

q→p

b)

∼p→∼q

c)

∼q→∼p

d)

p→∼q

155.

What does this mean?

a)

Conditional Statement

b)

Inverse Statement

c)

Converse Statement

d)

Contrapositive Statement

2nd Semester Final Review

Total questions: 155

Worksheet time: 13hrs 55mins

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