Free Printable Fall Final Exam Review

1.

Identify if the number is rational or irrational and convert to a decimal:

$1\ \frac{11}{12}$

a)

rational

b)

irrational

c)

1.92

d)

1.09

2.

Identify if the number is rational or irrational and convert to a decimal:

$3\ \frac{6}{8}$

a)

rational

b)

irrational

c)

3.75

d)

3.33

3.

Identify if the number is rational or irrational and convert to a decimal:

$\sqrt[]{39}$

a)

rational

b)

irrational

c)

6.24

d)

6.42

4.

Identify if the number is rational or irrational and convert to a decimal:

165%

a)

rational

b)

irrational

c)

16.5

d)

1.65

5.

Select all: Natural Numbers

a)

4.5

b)

5

c)

-2

d)

0

e)

7,652

6.

Select all: Integers

a)

4.2

b)

4

c)

-4.2

d)

4/3

e)

-2

7.

Select all: Which categories does the number 3.7 belong to?

a)

Real numbers

b)

Rational numbers

c)

Integers

d)

Whole numbers

e)

Natural numbers

8.

Select all: Which categories does the number zero belong to?

a)

Rational number

b)

Integer

c)

Whole number

d)

Natural number

9.

Which of the following is NOT an irrational number?

a)

$\sqrt[]{16}$

b)

5.58703...

c)

$\sqrt[]{96}$

d)

$\pi$

10.

Which of the following is NOT a natural number?

a)

12

b)

3,000

c)

5

d)

0

11.

Pi is an example of which type of number?

a)

Irrational number

b)

Natural number

c)

Unnatural number

d)

Fraction

12.

Classify the following number: 1.01276894...

a)

Rational

b)

Irrational

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

Which point most closely corresponds to the √8 on the number line below? (Click the question to see the picture)

a)

P

b)

Q

c)

R

d)

S

16.

Which point on the number line best represents $\sqrt{90}$ ?

a)

A

b)

B

c)

C

d)

D

e)

E

17.

Find the best estimate for √18 .
Look at the number line.

a)

4.2

b)

4.4

c)

5.1

d)

4

18.

Which best represents point Z on the number line?

a)

√165

b)

√149

c)

√12.2

d)

√13

19.

Which is the best approximation of point P?

a)

√8

b)

√2.8

c)

17/5

d)

2 1/4

20.

Which is the best approximation of point P?

a)

√8

b)

√2.8

c)

17/5

d)

2 1/4

21.

Order the following numbers in ascending order.

$3\pi,\ \ \sqrt{10},\ \ 3.25$

a)

$\sqrt{10},\ \ 3\pi,\ \ 3.25$

b)

$\sqrt{10},\ \ 3.25,\ \ 3\pi$

c)

$3\pi,\ \ 3.25,\ \ \sqrt{10}$

d)

$3.25,\ \ \sqrt{10},\ \ 3\pi$

22.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

23.

List the following numbers from least to greatest:

-64,\ \ 3.5,\ \ \sqrt{27},\ \ 6.\overline{6}

a)

$-64,\ \ 3.5,\ \ \sqrt{27},\ \ 6.\overline{6}$

b)

$3.5,\ \ \sqrt{27},\ \ 6.\overline{6},\ \ -64$

c)

$3.5,\ \ -64,\ \ \sqrt{27},\ \ 6.\overline{6}$

d)

$6.\overline{6},\ \ \sqrt{27},\ \ -64,\ \ 3.5$

24.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

25.

Which of the following real numbers is least?

a)

7.1

b)

$6\pi$

c)

$\frac{20}{3}$

d)

$\sqrt{51}$

26.

Place the numbers in order from least to greatest

a)

π, 31%, -0.32, 1/3, 3.1

b)

-0.32, 31%, 1/3, 3.1, π

c)

-0.32, 1/3, 31%, 3.1, π

d)

-0.32, 31%, 1/3, π, 3.1

27.

Place numbers in descending order.

a)

6 1/6, 62%, 0.6, 2π, -0.062

b)

2π, 62%, 6 1/6, 0.6, -0.062

c)

6 1/6, 2π, 62%, 0.6, -0.062

d)

2π, 6 1/6, 62%, 0.6, -0.062

28.

Which of the following values is greater than 1

a)

3/2

b)

-1.5

c)

27%

d)

π/5

29.

Order the following numbers from greatest to least.

a)

-1.25, -.8, -.4, .15

b)

.15, -.4, -.8, -1.25

c)

.15, -.8, -.4, -1.25

30.

Order the following numbers from least to greatest.

a)

-.8, -.63, -.6, -.72

b)

-.6, -.63, -.72, -.8

c)

-.8, -.72, -.63, -.6

31.

What is 37% as a decimal?

a)

37

b)

3.7

c)

.37

d)

.037

32.

Classify √35.

a)

Rational, Integer

b)

Whole, Integer, Rational

c)

Irrational, Integer

d)

Irrational

33.

Which of the following is NOT an integer?

a)

A

b)

B

c)

C

d)

D

34.

Convert 53% to a decimal

a)

53.0

b)

0.53

c)

5.30

d)

0.053

35.

Which word does NOT describe 5?

a)

Whole

b)

Integer

c)

Rational

d)

Irrational

36.

Which of the following is NOT an irrational number?

a)

$\sqrt[]{16}$

b)

5.58703...

c)

$\sqrt[]{96}$

d)

$\pi$

37.

Select all that apply that will classify the following number: $\frac{1}{2}$

a)

IRRATIONAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

e)

REAL

38.

Select all that apply that will classify the following number: $0.\overline{3}$

a)

Real

b)

Rational

c)

Irrational

d)

Integer

e)

Whole

39.

Select the complete classification for the following number: $\sqrt[]{10}$

a)

real, rational

b)

real, rational, integer

c)

real, rational, integer, whole

d)

real, irrational

40.

includes integers, fractions, terminating and repeating decimals.

a)

Rational Numbers

b)

Irrational Numbers

41.

√25

a)

Rational

b)

Irrational

42.

√7

a)

Rational

b)

Irrational

43.

A fraction is which type of number?

a)

Rational

b)

Irrational

44.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

45.

Write the following number in scientific notation.

360

a)

$3.6\times10^2$

b)

$0.36\times10^2$

c)

$3.6\times10^3$

d)

$3.6\times10^{-2}$

46.

Write the following number in scientific notation.

0.052

a)

$5.2\times10^1$

b)

$5.2\times10^{-1}$

c)

$5.2\times10^{-2}$

d)

$5.2\times10^2$

47.

Write the following number in standard form. Type your answer with no spaces and no commas.

$5.7\times10^{-1}$

(a)

48.

Which of the following numbers is written in scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

49.

Convert to scientific notation:

520,000,000

a)

52 x 10⁷

b)

5.2 x 10^-7

c)

5.2 x 10⁸

d)

0.52 x 10⁹

50.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

51.

If the exponent is a negative number the original number was...

a)

a really large number.

b)

a really small number.

52.

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)

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

53.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

54.

What side(s) will always be the longest on a right triangle?

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

55.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

56.

solve for c

a)

7

b)

9

c)

4

d)

13

57.

The Pythagorean Theorem is

a² - b² = c²

a)

false

b)

true

58.

Which equation is modeled by the picture shown?

a)

3²+5²=4²

b)

3²+4²=5²

c)

5²+4²=3²

d)

9²+16²=25²

59.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.9 feet

c)

169 feet

d)

18 feet

60.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

61.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

62.

What is the diagonal length of the iPad?

a)

9.2 in

b)

11 in

c)

13 in

d)

9.6 in

63.

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs?

a)

26.5 yards

b)

10 yards

c)

50 yards

d)

46.7 yards

64.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

65.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

66.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

67.

The red triangle has been dilated by a scale factor of 1/4, which triangle is it's new image?

a)

green triangle

b)

red triangle

c)

black triangle

d)

none of these

68.

What scale factor was used to produce the image?

a)

1

b)

7

c)

18

d)

49

69.

Which of the following is the algebraic representation for a dilation?

a)

(x, y) → (x, 3y)

b)

(x, y) → (3x, 3y)

c)

(x, y) → (x, y - 3)

d)

(x, y) → (.5x, .4y)

70.

a)

(x, y) → (⅓x, ⅓y)

b)

(x, y) → (x+6, y+6)

c)

(x, y) → (x+3, y+3)

d)

(x, y) → (3x, 3y)

71.

If the scale factor is given is GREATER than one, the figure will _______________.

a)

preserve (stay the same)

b)

enlarge (become bigger)

c)

reduce (become smaller)

72.

What is the definition of dialations ,in mathematical terms?

a)

to make larger or smaller

b)

to make larger

c)

all of the above

d)

to make smaller

73.

Dilations are ________ but not congruent.

a)

Similar

b)

Flipped

c)

Rotated

d)

Congruent

74.

-8(-8x - 6) = -6x - 22

a)

2/5

b)

-1

c)

8/7

d)

2

75.

22 + 2a = 37 + 6 + a

a)

21

b)

-21

c)

5

d)

6

76.

$-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)$

a)

$x\ =\ 2$

b)

$x\ =\ .5$

c)

$x\ =\ -2$

d)

$x\ =\ -.5$

77.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

x = 7

b)

x = 1

c)

x = -1

d)

x = -3

78.

What is the first thing you should do to simplify an equation?

a)

add

b)

Distributive Property

c)

Combine like terms

d)

divide

79.

What is the second step in solving a Multi-Step Equation with variables on both sides.

a)

Distribute

b)

Combine like terms on each side of the equal sign

c)

Move the variable

d)

Solve for the variable

80.

What is the third step in solving a Multi-Step Equation with variables on both sides.

a)

Distribute

b)

Combine like terms on each side of the equal sign

c)

Move the variable

d)

Solve for the variable

81.

$5\left(2x\ +\ 6\right)\ =\ -4\left(-5\ -2x\right)+\ 3x$

a)

$x\ =-20$

b)

$x\ =\ 20$

c)

$x\ =-10$

d)

$x\ =\ 10$

82.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

83.

In order to solve an equation, we must get variables on one side of an equation, and constants on the opposite side.

a)

False

b)

True

84.

-(8n - 2) = 3 + 10(1 - 3n)

a)

n = 1/2

b)

n = -1/2

c)

n = 2

85.

$-\left(3v+1\right)+7\left(6v+6\right)=-37$

a)

$4$

b)

$0$

c)

$2$

d)

$-2$

86.

Name the angle pair.

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

87.

Angles 1 and 3 are what angle pair?

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

88.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

89.

What is the measure of the missing angle?

a)

39

b)

129

c)

119

d)

129

90.

$\angle1$ and $\angle4$ are

a)

supplementary

b)

complementary

91.

What would the slope of the graph be?

a)

Positive

b)

Negative

c)

0

d)

Undefined

92.

Is the relationship between tables and chairs proportional?

a)

Yes; the relationship is proportional

b)

No; the relationship is not proportional

93.

Which equation is a proportional relationship?

a)

y= 4x + 1

b)

y= 5x-10

c)

y= 0.5x - 4

d)

y=7x

94.

What is another word for constant unit rate?

a)

y

b)

Constant of proportionality

c)

Constant of probability

d)

constant ratios

95.

Determine the constant of proportionality in the following equation:

y = 8x

a)

8

b)

$\frac{1}{8}$

c)

18

d)

8x

96.

Which of the following equations best represents this table?

a)

35 = 1x

b)

y = 35x

c)

y = 3.5x

d)

y = $\frac{1}{35}$ x

97.

What is equation for proportional relationship?

a)

k=yx

b)

y=kx

c)

x=yk

d)

y=ab

98.

a)

There's 70 jumps per minute.

b)

Threre's 7 jumps per minute

c)

There's 10 jumps per minutes

d)

There's 10 minutes every jump

99.

Find the slope

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

100.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

101.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

102.

Which relationship is an example of a proportional function?

a)

a rental company charges $80 per day and a one-time fee of $24

b)

a taxi ride costs $2 for the first mile and $4 for each additional mile

c)

a gym membership cost $30 per month and an additional annual registration fee of $75

d)

Beverly earns $210 a week for 4 weeks

103.

Which table shows a proportional relationship?

a)

A

b)

B

c)

C

d)

D

104.

Does this table represent a proportional relationship?

a)

Yes

b)

No

105.

Does the table show a proportional relationship?

a)

Yes

b)

No

106.

Is this table proportional?

a)

Yes

b)

No

107.

Write an equation for this situation.

a)

y=9.75x

b)

y=19x

c)

y=19.25x

d)

y=9.5x

Fall Final Exam Review

Total questions: 107

Worksheet time: 8hrs 56mins

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