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Practice Interim Math 8

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.

Evaluate the expression. (–4 × 2)-2

a)

1/64

b)

1/32

c)

1/16

d)

64

2.

Which value is equivalent to (6-9)/(63)?

a)

6-3

b)

6-6

c)

6-12

d)

6-27

3.

Solve: 90/9-2

a)

1/81

b)

1/9

c)

81

d)

729

4.

Glaciers advance at a rate of about three–millionths of a meter per second. Which of these represents the approximate rate at which glaciers advance?

a)

3 × 10-9 meters per second

b)

3 × 10-8 meters per second

c)

3 × 10-6 meters per second

d)

3 × 10-5 meters per second

5.

The distance of Mercury from the Sun is about 3.6 × 107 miles, while the distance of Pluto from the Sun is about 3.7 × 109 miles. About how many times farther from the Sun is Pluto than Mercury?

a)

2 times farther

b)

20 times farther

c)

100 times farther

d)

1000 times farther

6.

How many times larger is 5 × 106 than 5 × 102?

a)

125

b)

625

c)

1000

d)

10,000

7.

Which of these equations are correct? Select three that apply.

a)

(4.6 × 105) – (2.1 × 104) = 250,000

b)

(8.8 × 108) – (6.2 × 107) = 818,000,000

c)

(9.9 × 107) – (5.8 × 106) = 9,320,000

d)

(7.3 × 106) – (4.2 × 105) = 6,880,000

e)

(3.6 × 105) – (1.1 × 104) = 349,000

8.

What is the product of (8.8 × 106)(5 × 102)?

a)

4.4 × 108

b)

4.4 × 109

c)

4.4 × 1010

d)

4.4 × 1012

9.

The picture above shows a parallelogram–shaped bookshelf Aaron bought for his wall. He rotates the shelf 90° clockwise and then 180° counterclockwise to decide how to arrange it on the wall. Which of the following statements is true about this shelf after Aaron rotates it?

a)

The measure of angle Q would be 70°.

b)

The measure of angle R would be 70°.

c)

The measure of angle S would be 110°.

d)

The measure of angle P would be 140°.

10.

If 2 parallel lines are cut by a transversal, alternate interior angles are __________.

a)

complementary

b)

supplementary

c)

congruent

d)

corresponding

11.

If triangles QRS and WXY are congruent and m∠R =60 degrees, which of the following MUST be true?

a)

m∠W = 60

b)

m∠X = 60

c)

QR = RS

d)

QR = WY

12.

Trapezoid CDEF is congruent to trapezoid TQRS. If CF and DE are parallel, which pair of sides in trapezoid TQRS MUST also be parallel?

a)

TQ and RS

b)

QR and RS

c)

ST and RS

d)

D. TS and QR

13.

What is the sum of the exterior angles of a triangle? Use the fact that the sum of the interior angles of a triangle is 180° and the fact that the measure of a straight angle is 180° to justify your answer.

a)

Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is 3 × (180° – 180°) = 0°.

b)

Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is (3 × 180°) – 180° = 360°.

c)

Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is (3 × 180°) + 180° = 720°.

d)

Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is 3 × (180° + 180°) = 1080°.

14.

A proof of the Pythagorean Theorem is shown below. What reason BEST justifies statement 9?

a)

Associative Property

b)

Distributive Property

c)

Substitution Property

d)

The Pythagorean Theorem

15.

Which of the following would PROVE the Pythagorean Theorem?

a)

Let a = 5 and b = 12 and use the equation a2 + b2 = c2 to solve for the value of c.

b)

Show that the equation a2 + b2 = c2 holds true for a = 5, b = 12, and c = 13 and when a = 7, b = 24, and c = 25.

c)

Set two different expressions for the area of a figure equal to each other and manipulate algebraically to show a2 + b2 = c2 .

d)

Assume a2 + b2 ≠ c2 and show a = 5, b = 12, and c = 13 is a counterexample for the statement.

16.

Michelle is composing a proof of the Pythagorean Theorem using the figure. What expression is her best option of what to put as the left side of the equation in Step 2 to advance her proof? 1/2 ab + 1/2 ab + 1/2 c2 = 1/2 (a + b)(a + b) _______ = 1/2 a2 + ab + 1/2 b2

a)

1/2 c2

b)

ab + c2

c)

1/2 a2 + 1/2b

d)

1/2 a2 + ab + 1/2 b2

17.

The sides of a square are 10 inches long. How long is the diagonal of the square?

a)

The sides of a square are 10 inches long. How long is the diagonal of the square?

b)

10√2 in.

c)

10 in.

d)

2√5 in.

18.

Calculate the length of x.

a)

4.79

b)

16.28

c)

23.00

d)

265.00

19.

8.0 × 105 + 6.0 × 107 =

a)

14,000,000,000,000

b)

140,000,000

c)

60,800,000

d)

68,000,000

20.

Line segment AB is reflected across the y–axis to form line segment CD. Then, line segment CD is rotated 90° clockwise about the origin to form line segment EF. Select the statement that is true about this transformation.

a)

Line segment EF is the same length as line segment AB.

b)

Line segment EF is longer than line segment CD.

c)

Line segment EF is shorter than line segment AB.

d)

Line segment CD is longer than line segment AB.

21.

Four students in a geometry class each did an experiment in which they rotated an angle in a coordinate plane 10° about the origin. The table shows the measure of each students' angle before and after the rotation.


Student_______Measure of Angle_____ Measure of Angle

_______________Before Rotation_______ After Rotation

Eva________________ 38o_________________ 48o

Jeremiah__________ 44o_________________ 54o

Penelope__________ 48o_________________ 48o

Sean______________ 32o__________________ 42o


Who must have made a mistake? Select three that apply.

a)

Eva

b)

Jeremiah

c)

Penelope

d)

Sean

22.

Lines BC and DE are parallel to each other and the y–axis. If the two lines were reflected across the y–axis and then the x–axis to form lines B'C' and D'E', which statement would be true about the lines B'C' and D'E'?

a)

Lines B'C' and D'E' would be parallel to each other and the x– axis.

b)

Lines B'C' and D'E' would no longer be parallel to each other.

c)

Lines B'C' and D'E' would be parallel to each other and the y– axis.

d)

Lines B'C' and D'E' would be perpendicular to each other.

23.

If rectangles JKLM and DEFG are congruent, then what MUST be true about the length of EF?

a)

EF is 12

b)

EF is 14.

c)

EF can be either 12 or 14.

d)

There is not enough information to find EF.

24.

What is the value of x in the right triangle shown?

a)

25 mm

b)

15 mm

c)

12.5 mm

d)

9 mm

25.

Which set of measures could not be the side lengths of a right triangle?

a)

10 cm, 20 cm, 30 cm

b)

18 cm, 24 cm, 30 cm

c)

30 cm, 40 cm, 50 cm

d)

30 cm, 72 cm, 78 cm