Free Printable 7PA DA1 Review

1.

What is the best classification for -4?

a)

irrational number, real number

b)

integer, rational number, real number

c)

rational number, real number

d)

whole number, integer, real number

2.

Which statement is true?

a)

Every terminating decimal is an integer.

b)

All integers are rational numbers.

c)

Some integers are irrational numbers.

d)

Every integer is a whole number.

3.

On a number line, between which two numbers would √27 lie?

a)

5 and 6

b)

6 and 7

c)

4 and 5

d)

3 and 4

4.

√112 is approximately equal to:

a)

10.7

b)

10.4

c)

10.8

d)

10.5

5.

What value is graphed on the number line below?

a)

A √65

b)

2π

c)

√40

d)

√85

6.

Which of the following sets of numbers is in order from least to greatest?

a)

π, 7/2, √10

b)

√5, 2 1/2, -3

c)

− 4, 3.2, √15

d)

− 5.2, √35, π

7.

Put the following in order from least to greatest:

a)

A, B, C

b)

B, C, A

c)

C, A, B

d)

A, C, B

8.

Compare. Write <, >, or =

a)

<

b)

>

c)

=

d)

None of the Above

9.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

10.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

11.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

12.

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

13.

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

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

14.

Express the following in scientific notation:
.000045

a)

4.5 x 10^-5

b)

45 x 10^-6

c)

4.5 x10⁵

d)

45 x 10⁶

15.

The Pythagorean Theorem ONLY works on which type of triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

16.

Find the length of the missing side.

a)

48

b)

108

c)

83.6

d)

72

17.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

18.

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

19.

JUST FOR FUN:
Who is this?

a)

Sherlock Holmes

b)

The Hair Bear Bunch

c)

Doctor Snuggles

d)

Dr. Who (the 4th one)

20.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

21.

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

a)

yes

b)

no

22.

What is the distance between points J and K on the coordinate plane shown in the image?

a)

9 units

b)

√112 units

c)

√130 units

d)

14 units

23.

State if the triangle is acute, obtuse, or right.

a)

acute

b)

obtuse

c)

right

24.

Use the model to write and equation and solve for x:

a)

x = -14

b)

x = 4

c)

x = -4

d)

x = -7/3

25.

^{Solve for a:}^{-13 + 5a = 3(a - 3)}

a)

a = 5

b)

a = 9

c)

a = 0

d)

a = 2

26.

Solve for z:
-7(z - 6) = -70

a)

16

b)

-16

c)

8

d)

-1/2

27.

Solve for x:
-8x - 8 +3(x - 2) = -3x + 2

a)

x = -8

b)

x = 8

c)

x = 2

d)

x = -2

28.

Solve for x:
3(x-4) = -3

a)

3

b)

-3

c)

5

d)

-5

29.

Solve for x
4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

30.

Which inequality represents the solution to the problem shown?
3(1 - 6x) < -19 + 4x

a)

x > -1

b)

x > 1

c)

x < 1

d)

x < -1

31.

Which inequality represents the solution to the problem shown?

a)

x ≤ 4

b)

x ≤ -4

c)

x ≥ 4

d)

x ≥ -4

32.

Which inequality represents the solution to the problem shown?

a)

n < 1

b)

n < -1

c)

n > 1

d)

n > -1

33.

Which inequality represents the solution to the problem shown?

a)

x ≥ 2

b)

x ≥ -2

c)

x ≤ 2

d)

x ≤ -2

34.

Which situation is represented by the inequality 25x + 500 ≥ 50x + 250?

a)

Corey earns $25 for each insurance policy he sells plus $500 each week. Maria earns $50 for each policy she sells plus $250 each week. How many policies will each employee need to sell so that Maria earns the same or more than Corey?

b)

Corey earns $50 for each insurance policy he sells plus $500 each week. Maria earns $25 for each policy she sells plus $250 each week. How many policies will each employee need to sell so that Maria earns the same or more than Corey?

c)

Corey earns $25 for each insurance policy he sells plus $500 each week. Maria earns $50 for each policy she sells plus $250 each week. How many policies will each employee need to sell so that Maria earns the same or less than Corey?

d)

Corey earns $50 for each insurance policy he sells plus $500 each week. Maria earns $25 for each policy she sells plus $250 each week. How many policies will each employee need to sell so that Maria earns the same or more than Corey?

35.

To be safe, the base of a ladder from the wall upon which it leans should be at least one-fourth of the ladder’s length. Based on the image below, which statement is true?

a)

The ladder is 13.3 feet from the wall, which is safe.

b)

The ladder is 6 feet from the wall, which is not safe.

c)

The ladder is 31.2 feet from the wall, which is safe.

d)

The ladder is 44 feet from the wall, which is not safe.

36.

What do we call this object below?

a)

Net

b)

Triangle

c)

Geometry

d)

y = mx + b

37.

What is the difference between the lateral and total surface area of the prism’s net shown?

a)

12 cm²

b)

24 cm²

c)

36 cm²

d)

48 cm²

38.

Find the total surface area of the shape shown.

a)

258 m²

b)

268 m²

c)

248 m²

d)

278 m²

39.

JUST FOR FUN:
Which of the following is NOT true about this picture?

a)

I can't even...

b)

Math is important.

c)

Wow! This is a great deal!

d)

Photoshop can help you create fun math failures.

40.

Find the lateral surface area of the prism.

a)

12 square inches

b)

48 square inches

c)

192 square inches

d)

64 square inches

41.

Find the lateral surface area of the prism.

a)

25 square inches

b)

37.5 square inches

c)

136 square inches

d)

95.5 square inches

42.

Find the lateral surface area of the prism.

a)

480 square inches

b)

40 square inches

c)

636 square inches

d)

156 square inches

43.

What is the total surface area of the shape?

a)

300 un.²

b)

246 un.²

c)

192 un.²

d)

222 un.²

44.

What is the total surface area of the shape?

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

45.

Find the total surface area of the prism.

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

46.

Find the total surface area of the cylinder.

a)

100.48 square inches

b)

351.86 square inches

c)

251.33 square inches

d)

50.27 square inches

47.

Find the total surface area of the cylinder.

a)

471 square centimeters

b)

157.08 square centimeters

c)

314.16 square centimeters

d)

296.72 square centimeters

48.

Find the lateral surface area of the cylinder.

a)

471.24 square centimeters

b)

157.08 square centimeters

c)

314 square centimeters

d)

296.72 square centimeters

49.

In the volume formula
V = Bh,
what does the "B" stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

50.

Which label would NOT be appropriate for volume?

a)

square miles

b)

inches³

c)

cm³

d)

cubic feet

51.

Find the volume of the figure shown.

a)

45mm²

b)

45mm³

c)

3,375mm³

d)

3,375mm²

52.

Find the volume of the figure shown.
Leave your answer in terms of Pi.

a)

156π m³

b)

702π m³

c)

2,106π m³

d)

78π m³

53.

Find the volume of the figure.
Round your answer to the nearest whole number.

a)

1,944 cm³

b)

108 cm³

c)

972 cm³

d)

216 cm³

54.

Find the volume of the figure.

a)

126 cm³

b)

907.5 cm³

c)

605 cm³

d)

55 cm³

55.

Find the volume of the figure shown.

a)

240

b)

1440

c)

144

d)

480

56.

Find the volume of the figure shown.

a)

150.72 mm³

b)

904.32 mm³

c)

2,712.96 mm³

d)

37.699 mm³

57.

Find the volume of the figure. Round to the nearest whole number.

a)

317 units³

b)

635 units³

c)

1,904 units³

d)

890 units³

58.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

418.00 cm³

b)

139.33 cm³

c)

130.62 cm³

d)

1671.98 cm³

59.

Hummingbirds lay eggs that are nearly spherical and about 1.5 centimeters in diameter. Find the volume of three eggs using 3.14 instead of Pi. Which of the following is true?

a)

The radius is 7.5 cm.

b)

You have to multiply the volume of an egg by three to solve this question.

c)

neither statement is correct.

d)

Both statements are correct.

60.

The cone of an inactive volcano in Mexico had a height of 410 meters and a diameter of 426 meters. Which formula below could be used to find the volume of the cone?

a)

V=(1/3)(π)(426²)(410)

b)

V=(1/3)(π)(213²)(410)

c)

V=(4/3)(π)(426³)

d)

V=(π)(213²)(410)

61.

You can tell that π is an irrational number because it has a what?

a)

non-repeating decimal

b)

non-terminating decimal

c)

repeating decimal

d)

non-repeating and a non-terminating decimal

7PA DA1 Review

Total questions: 61

Worksheet time: 4hrs 6mins

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