Free Printable FOA SOL Review

1.

Select the value equivalent to 10^-²?

a)

0.01

b)

0.001

c)

0.02

d)

0.002

2.

Which is the correct exponent ? 0.000001 = 10^?

a)

6

b)

5

c)

-6

d)

5

3.

1/100,000 is equivalent to

a)

10^-4

b)

10^-5

c)

10⁴

d)

10⁵

4.

Whats any number to the power of zero?

a)

1

b)

0

5.

These are all true but which is the expanded form of 10^-3is

a)

1/10 x 10 x10

b)

0.001

c)

1/10³

d)

1/1,000

6.

How would you write 564,000,000 in scientific notation?

a)

5.64 x 10^-7

b)

5.64 x 10⁶

c)

5.64 x 10⁸

d)

56.4 x 10⁷

7.

Express the following in scientific notation:
.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

8.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

9.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

10.

50.1 x 10^-3> 4.8 x 10^-1

a)

True

b)

False

11.

Which of the following numbers is the least?

a)

7 x 10⁸

b)

7.1 x 10⁸

c)

7 x 10⁹

d)

7.1 x 10⁹

12.

Which is the largest?
4.8 x 10^-6
1.3 x 10²⁰3.1 x 10^-49.2 x 10^-59.5 x 10³²5.9 x 10^-52.9 x 10²¹8.4 x 10¹⁹

a)

9.5 x 10³²

b)

3.1 x 10^-4

c)

8.4 x 10¹⁹

d)

4.8 x 10^-6

13.

Which one of these is in order from least to greatest?

a)

2.4 x 10², 3.6 x 10^-2 , 6.9x 10^-3 ,

b)

6.9x 10^-3 , 3.6 x 10^-2,2.4 x 10²

14.

Order the following from greatest to least:
5 x 10³
3.2 x 10⁸ 1.2 x 10⁸ 7 x 10⁵

a)

7 x 10⁵ , 5 x 10³ ,
3.2 x 10⁸, 1.2 x 10⁸

b)

3.2 x 10⁸, 1.2 x 10⁸, 7 x 10⁵, 5 x 10³

c)

1.2 x 10⁸, 3.2 x 10⁸,
5 x 10³ , 7 x 10⁵

15.

Put the following in order LEAST to GREATEST:
125%, 5/3, 12.4

a)

5/3, 12.4, 125%

b)

12.4, 5/3, 125%

c)

125%, 5/3, 12.4

d)

125%, 12.4, 5/3

16.

Order 5/8, 0.5, 58.3% from greatest to least.

a)

5/8, 0.5, 58.3%

b)

5/8, 58.3%, 0.5

c)

58.3%, 5/8, 0.5

d)

58.3%, 0.5, 5/8

17.

Which symbol makes the statement true?

a)

<

b)

>

c)

=

18.

Which statement is TRUE?

a)

b)

c)

d)

19.

$16^2$

(a)

20.

$\sqrt{289}$

(a)

21.

$\sqrt{169}$

(a)

22.

Select all the perfect squares.

a)

25

b)

81

c)

10

d)

16

e)

33

23.

-(5)²=

a)

-25

b)

25

24.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

25.

Which of the following in not a perfect square?

a)

49

b)

81

c)

111

d)

144

26.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

27.

Henry starts the day with $30. He and his sister go to the fair. He pays for his own admission of $10, but fails to notice that $15 falls out of his wallet while he is paying. His sister lends him $10 so that he can still enjoy the fair. Write the equation that illustrates his day's financial events.

a)

30 - 10 - 5 + 10 =

b)

30 - 15 + 10 =

c)

30 - 10 - 15 + 10 =

d)

30 + 10 - 15 =

28.

Eleni withdrew $45 from her savings account. She then used her debit card to buy groceries for $30.15. What was the total amount Eleni took out of her account?

a)

$75.15

b)

$14.85

c)

$15.85

d)

$75

29.

Tommy owns 3 acres of farmland. He grows beets on 2/5 of the land. On how many acres of land does Tommy grow beets?

a)

2 3/5

b)

1 1/5

c)

3 2/5

d)

7 1/2

30.

A recipe for muffins calls for 3/4 cup of flour. Carlito is making 6 batches of muffins. How much flour does he need?
What operation do you do to solve this problem?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

31.

A hiking trail is 15 miles long. There is a rest area every 3/4 of a mile. How many rest areas are there along the hiking trail?

a)

10

b)

20

c)

25

d)

30

32.

Daniel had $6.78. His grandmother gave him $3.14. How much money does Daniel have now?

a)

$9.92

b)

$9.82

c)

$3.64

d)

$9.90

33.

Determine if the ratios are proportional.

4/5 and 15/20

a)

Yes

b)

No

34.

In the recipe of a lemonade 2 cups of sugar is needed for 3 lemons. How many lemons are needed for 6 cups of sugar?

a)

4

b)

6

c)

8

d)

9

35.

Find the value to "?"

a)

25

b)

35

c)

20

d)

30

36.

Solve for n

12/6 = 4/n

a)

n=4

b)

n=2

c)

n=3

d)

n=6

37.

Solve for u.

$\frac{u}{15}=\frac{4}{12}$

a)

7

b)

16

c)

5

d)

9

38.

12 ounce shampoo bottle lasts Mike 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

a)

24 weeks

b)

6 weeks

c)

30 weeks

d)

20 weeks

39.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

40.

1. A parking lot has 3 cars and 12 trucks. Find the ratio of cars to trucks. Select all the true ratios.

CHOOSE THREE

a)

3 trucks : 12 cars.

b)

12 cars to 3 trucks

c)

$\ \frac{3\ cars}{12\ trucks}$

d)

3 cars to 12 trucks

41.

What is the formula used to find the volume of a rectangular prism?

a)

V = Lw

b)

V = Lwh

c)

V = 1/2bh

d)

V = 2∏r

42.

a)

546 m³

b)

456 m³

c)

654 m³

d)

54 m³

43.

Find the total surface area of the prism.

a)

48 square inches

b)

64 square inches

c)

88 square inches

d)

76 square inches

44.

Find the volume of the cylinder. Use 3.14 for π.

a)

16.4 cm³

b)

31.7 cm³

c)

31.4 cm³

d)

22.0 cm³

45.

Find the surface area

a)

60.4 m²

b)

188.4 m²

c)

94.2 m²

d)

881.9 m²

46.

Find the total surface area of the cylinder.

a)

25.13 square cm

b)

75.40 square cm

c)

50.27 square cm

d)

100.53 square cm

47.

Match each.

Categorize the following

Cubic Units

Units (in, cm)

Square Units

How much fits inside a 3D figure.

How much can cover a flat surface.

The distance around a circle

Volume

Area

Circumference

48.

Which label would NOT be appropriate for volume.

a)

square miles

b)

inches³

c)

cm³

d)

cubic feet

49.

Is surface area.......

a)

Filling in a 3 dimensional shape

b)

wrapping the outside of a 3 dimensional shape

50.

What is a prism?

a)

A 3-D figure with parallel bases

b)

A 3-D figure where all sides except the base intersect at a point called the vertex

c)

A 3-D figure with a circular base

51.

If two figures are similar, the corresponding sides are ______________.

a)

Equal

b)

Congruent

c)

Proportional

d)

None of the above

52.

If two figures are similar their angles are______.

a)

Proportional

b)

Congruent

c)

supplementary

d)

complementary

53.

Two objects that are the same shape but not the same size are _______.

a)

Vertical

b)

Congruent

c)

Complementary

d)

Similar

54.

Tell whether the two figures are similar. Explain your reasoning.

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

55.

Matching sides are called

a)

Corresponding angles

b)

The same

c)

Congruent Sides

d)

Corresponding Sides

56.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

57.

What is true about the angles of similar figures?

a)

Corresponding angles are proportional.

b)

Complementary angles are proportional.

c)

Corresponding angles are congruent.

d)

Complementary angles are congruent.

58.

What side corresponds with AB?

a)

BC

b)

FE

c)

DE

d)

FD

59.

$\Delta ABC\ is\ similar\ to\ \Delta DEF$ Which proportion is true?

a)

$\frac{AB}{BC}=\frac{FE}{ED}$

b)

$\frac{CA}{AB}=\frac{FD}{DE}$

c)

$\frac{BC}{CA}=\frac{EF}{DE}$

d)

$\frac{AB}{BC}=\frac{DE}{FD}$

60.

Which proportion correctly shows the corresponding sides of the two similar figures?

a)

$\frac{BE}{ED}=\frac{BC}{AC}$

b)

$\frac{AC}{AB}=\frac{DE}{DA}$

c)

$\frac{BD}{BE}=\frac{AB}{AC}$

d)

$\frac{DE}{EB}=\frac{AC}{EC}$

61.

Find missing side

a)

5

b)

7

c)

9

d)

11

62.

Is it possible for a parallelogram to have ALL four sides congruent?

a)

yes

b)

no

63.

A ___________ is a quadrilateral with two pairs of parallel sides and 4 congruent sides.

a)

trapezoid

b)

rhombus

c)

parallelogram

d)

rectangle

64.

A _______________ is a quadrilateral with two sets of parallel sides.

a)

trapezoid

b)

parallelogram

c)

kite

d)

triangle

65.

A quadrilateral with two sets of parallel sides, 4 right angles, and 4 congruent sides is a __________________.

a)

trapezoid

b)

parallelogram

c)

rectangle

d)

square

66.

Classify this shape. Select ALL names that apply.

a)

square

b)

rhombus

c)

quadrilateral

d)

trapezoid

e)

parallelogram

67.

Classify this shape. Select ALL names that apply.

a)

quadrilateral

b)

square

c)

parallelogram

d)

rhombus

e)

rectangle

68.

Classify this shape. Select ALL the names that apply.

a)

rectangle

b)

parallelogram

c)

trapezoid

d)

quadrilateral

e)

rhombus

69.

A __________________ is always a rhombus, but a rhombus is not always a _______________.

a)

kite

b)

parallelogram

c)

square

d)

rectangle

70.

Which describes a rhombus?

a)

has all right angles

b)

has all acute angles

c)

has all equal sides

d)

has all obtuse angles

71.

Two lines that are perpendicular create ___________________.

a)

a right angle

b)

parallel lines

c)

congruent

d)

quadralaterals

72.

The diagonals of a parallelogram always ...

a)

are congruent

b)

are perpendicular

c)

bisect each other

d)

are parallel

73.

Select all the properties of a rhombus

a)

4 congruent sides

b)

opposite sides congruent and parallel

c)

4 right angles

d)

diagonals bisect each other

74.

Dilations have which operation?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

75.

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.

Which algebraic representation shows this dilation?

a)

(x, y) --> (2x, 2y)

b)

(x, y) --> (0.5x, 0.5y)

c)

(2x, 2y) --> (x, y)

d)

(x, y) --> (3x, 2y)

76.

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

a)

½

b)

¼

c)

4

d)

2

77.

What is a theoretical probability?

a)

The probability calculated based on the possible outcomes in a perfect scenario.

b)

The probability based on historical data and past events.

c)

The probability that is always equal to 1.

d)

The probability that can only be determined through experiments.

78.

What is an experimental probability?

a)

It is the probability calculated based on theoretical models.

b)

It is the probability determined by conducting experiments and observing the outcomes.

c)

It is the probability that is always equal to 1.

d)

It is the probability that cannot be measured.

79.

Stevie rolled a die 20 times. Here is a graph of her results.

What was her experimental probability of rolling a 3?

a)

1/6

b)

1

c)

1/20

d)

3

80.

The theoretical probability that you will choose a green marble from a bag is 3/7. There are 35 marbles in the bag. How many are green?

a)

35

b)

7

c)

3

d)

15

81.

Choose all of the measures of center.

a)

Mean

b)

Median

c)

Mode

d)

Range

e)

Interquartile Range

82.

It is practical to survey everyone in a population.

a)

True

b)

False

83.

Which is NOT a question to consider as part of the analyzing and communicating results step in the data cycle?

a)

Does the data answer the question?

b)

What conclusion can you draw?

c)

Is the data display used the best one?

d)

Does your process need to be modified to improve results?

e)

These are all questions to consider.

84.

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

85.

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

a)

Histogram

b)

Line Plot

c)

Stem and Leaf

d)

Circle graph

86.

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

a)

True

b)

False

87.

Find the slope of the line

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

88.

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

89.

13) Find the slope of the table

a)

-4

b)

1

c)

-2

d)

4

90.

What is the slope of the equation?

y = -3x

a)

1/3

b)

3

c)

-3

d)

-1/3

91.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

92.

Graph the line.

Slope = -6

Y-intercept = 3

93.

Graph the line.

Slope = -5/3

Y-intercept = 0

94.

Fill in the blanks.

Slope = (a)

Y-Intercept = (b)

Choose from the below words

1/2

2

1/3

-1/2

-1/3

-3

-2

3

2/4

-2/4

95.

Evaluate 4n - n² for n = -3.

a)

-21

b)

-3

c)

8

d)

-7

96.

Let t = 3 and u = -5. Evaluate 3t - u².

a)

-19

b)

31

c)

34

d)

-16

97.

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.

98.

-9r + 12 = -24

a)

12

b)

3

c)

4

d)

2

99.

Solve $\frac{x}{5}+2\ =\ 6$

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

100.

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

a)

Inverse operations

b)

math

c)

variable

d)

PEMDAS

101.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

102.

Solve and graph the inequality.
3 + 9k > 111

a)

A

b)

B

c)

C

d)

D

103.

What inequality does the number line graph represent?

a)

2x +1 < -3

b)

x + 2 < 4

c)

-x + 3 > 1

d)

$x+4\ge2$

104.

What is the solution for the following inequality?

$\frac{m}{-2}+5<1$

a)

$m<-7$

b)

$m<-8$

c)

$m>8$

d)

$m<8$

105.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

106.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

107.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

108.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

109.

Solve and graph the inequality b - 6 < -15

a)

A

b)

B

c)

C

d)

D

110.

When solving, Do I need to flip my sign? 3x ≥ 12

a)

Yes

b)

No

FOA SOL Review

Total questions: 110

Worksheet time: 7hrs 53mins

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