Free Printable Math 8 Q3 Study Guide 23-24

1.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

a)

Divide both sides by 2

b)

Take the square root of both sides

2.

The Pythagorean Theorem is

a² - b² = c²

a)

false

b)

true

3.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

4.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

5.

Find the distance between these two points.

a)

13

b)

7.9

c)

9.2

d)

3.6

6.

a)

7 ft

b)

5 ft

c)

3 ft

d)

2 ft

7.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

8.

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

9.

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

10.

a)

The top of the ladder is 8.9 ft from the ground

b)

The top of the ladder is 9.2 ft from the ground

c)

The top of the ladder is 16.5 ft from the ground

d)

The top o the ladder is 14.4 ft from the ground

11.

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

12.

Which set of side lengths does not form a right triangle?

a)

38, 80, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

13.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

14.

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

15.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

16.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

17.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

18.

Find the distance between the two points.

a)

7.6 units

b)

6.9 units

c)

8.1 units

d)

9.7 units

19.

Your family wants to purchase a new laptop with a 17” widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don’t remember the width. What is the width?

a)

13.7 inches

b)

12.8 inches

c)

11.3 inches

d)

13.1 inches

20.

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)

13.5 feet

c)

13 feet

d)

11.6 feet

21.

Identify the relationship:

a)

vertical

b)

supplementary

22.

Identify the relationship:

a)

vertical

b)

supplementary

23.

Identify the relationship:

a)

vertical

b)

supplementary (angles add up to 180^o)

c)

complementary (angles add up to 90^o)

24.

Identify the angle relationship between a and b.

a)

alternate interior

b)

corresponding

c)

alternate exterior

25.

Identify the angle relationship between a and b.

a)

alternate interior

b)

corresponding

c)

alternate exterior

26.

Identify the angle relationship between a and b.

a)

alternate interior

b)

corresponding

c)

alternate exterior

27.

Identify the angle pairs below that represent a vertical relationship. Select 2.

a)

∠1

b)

∠8

c)

∠6

d)

∠5

28.

Identify the angles below that represent a supplementary relationship. Select 2.

a)

∠1

b)

∠3

c)

∠8

d)

∠5

29.

Identify the angles below that represent a corresponding relationship. Select 2.

a)

∠1

b)

∠3

c)

∠8

d)

∠5

30.

Identify the angles below that represent a alternate interior relationship. Select 2.

a)

∠1

b)

∠2

c)

∠7

d)

∠8

31.

Identify the angles below that represent a alternate exterior relationship. Select 2.

a)

∠1

b)

∠2

c)

∠7

d)

∠8

32.

Identify all the congruent angles to ∠1.

a)

∠6

b)

∠3

c)

∠7

d)

∠8

33.

Find the measure of angle b.

Hint: Identify the angle relationship.

a)

25

b)

115

c)

65

34.

Find the measure of angle b.

Hint: Identify the angle relationship.

a)

95

b)

85

c)

5

35.

Find the measure of angle b.

Hint: Identify the angle relationship.

a)

30

b)

120

c)

60

36.

Find the measure of each angle indicated.

a)

62

b)

53

c)

71

d)

50

37.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

38.

Solve for x.

a)

16

b)

11

c)

50

d)

6

39.

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

a)

45°, 65°, 70°

b)

150°, 110°, 100°

c)

50°, 50°, 50°

d)

90°, 90°, 90°

40.

Solve for x = (a)

41.

Find the measure of each angle indicated.

a)

22

b)

25

c)

29

d)

55

42.

Solve for the value of $\angle$ U.

a)

$47\degree$

b)

$58\degree$

c)

$70\degree$

d)

$60\degree$

43.

Solve for the value of the exterior angle of $\angle$ R?

a)

$105\degree$

b)

$75\degree$

c)

$110\degree$

d)

$25\degree$

44.

Solve for the value of $\angle T$ .

a)

$54\degree$

b)

$35\degree$

c)

$110\degree$

d)

57 $\degree$

45.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

46.

Solve for x.

a)

1

b)

2

c)

3

d)

4

47.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

48.

Find the indicated angle measure (What is ?)

a)

80°

b)

90°

c)

70°

d)

60°

49.

Find the indicated angle. (What is ?)

a)

91°

b)

81°

c)

89°

d)

109°

50.

Find the measure of ∠M.

a)

53°

b)

34°

c)

103°

d)

69°

51.

Solve for x

a)

6

b)

140

c)

20

d)

90

52.

Find the measure of angle 1.

a)

28^o

b)

136^o

c)

44^o

d)

6^o

53.

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X?

a)

16X+180 = 90

b)

12X - 19 = 4X +1

c)

12X - 19 + 4X +1=90

d)

12X - 19 + 4X +1=180

54.

What is the measure of ∠ABC?

a)

25°

b)

75°

c)

108°

d)

150°

55.

Match the following

a)

1.

Vertical Angles

b)

2.

Complementary Angles

c)

3.

Supplementary Angles

d)

4.

Linear Pair

e)

5.

Adjacent Angles

56.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

angle bisector

57.

What is the supplement angle to 42°?

a)

48°

b)

138°

c)

100°

d)

Not possible

58.

What is angle x and why?

a)

x = 133, Corresponding angles of parallel lines are congruent

b)

x = 47, Same-side Interior angles of parallel lines are supplementary.

c)

x = 133, Alternative Interior angles of parallel lines are congruent

59.

Determine the missing angle.

a)

47

b)

57

c)

53

d)

133

60.

Find y.

a)

130

b)

50

61.

$\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?$

a)

$\frac{8}{27}$

b)

$\frac{8}{9}$

c)

$\frac{4}{9}$

d)

$\frac{4}{3}$

62.

$3_{\sqrt{-1}}$ (cube root of -1)

a)

$\pm1$

b)

1

c)

-1

d)

none of the above (imaginary number)

63.

$-\sqrt{144}$

a)

12

b)

-12

c)

-72

d)

none of the above (imaginary number)

64.

Which of the following is irrational?

a)

$\sqrt{49}$

b)

$\sqrt{50}$

c)

$\sqrt{81}$

d)

$\sqrt{121}$

65.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

66.

Rewrite using a positive exponent.
g^-7

a)

¹/_g⁷

b)

g⁷

c)

¹/_g^-7

d)

-g⁷

67.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

68.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

69.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

70.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

71.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

72.

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

73.

Convert this number into scientific notation:

0.068

a)

6.9 x 10⁶

b)

6.8 x 10^-9

c)

6.8 x 10^-2

d)

None of the above

74.

Which value is the greatest?

a)

5.0 x 10^-9

b)

5.0 x 10^-4

c)

5.0 x 10⁶

d)

5.0 x 10⁸

75.

Which number is the least in value?

a)

5.0 x 10^-9

b)

5.0 x 10^-4

c)

5.0 x 10⁶

d)

5.0 x 10⁸

Math 8 Q3 Study Guide 23-24

Total questions: 75

Worksheet time: 3hrs 26mins

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