Free Printable BH Mod 6.2 Review

1.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

2.

What is the formula used to solve for the hypotenuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

3.

Name the longest side of a right triangle.

a)

leg a

b)

leg b

c)

leg

d)

hypotenuse

4.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

5.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

6.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

7.

Solve for x. Round your answer to nearest tenth.

a)

38.9

b)

40.2

c)

45.6

d)

54

8.

Does the set of numbers represent a Pythagorean Triple?
14, 20, 24

a)

Yes

b)

No

9.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

10.

A(2,0) B(-2,4) is written as

a)

$d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}$

b)

$d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}$

c)

$d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}$

d)

$d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}$

11.

Find the distance between (-5, -8) and (-1, -16). Round answer to the nearest tenth.

a)

8.9

b)

9.8

c)

10.3

d)

11

12.

Find the distance. Round answer to the nearest tenth.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

13.

Find the distance between (-3, -11) and (8, -42). Use the distance formula. Round answer to the nearest tenth.

a)

32.1

b)

32.3

c)

32.7

d)

32.9

14.

Find the distance between J and K. Round your answer to nearest tenth.

a)

8.2

b)

7.7

c)

9

d)

10.2

15.

Find the distance. Round your answer to the nearest tenth.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

16.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

17.

Select all perfect cubes

a)

2

b)

8

c)

27

d)

64

e)

9

18.

Find the cube root(s).

a)

25/9

b)

-25/9

c)

-5/3

d)

none

19.

Simplify:

a)

A

b)

B

c)

C

d)

D

20.

Simplify:

a)

A

b)

B

c)

C

d)

D

21.

Simplify

a)

A

b)

B

c)

C

d)

D

e)

None of the above

22.

Simplify the radical expression

a)

b)

c)

d)

23.

Simplify

a)

3x²y²z√3yz

b)

3xyz√xy²

c)

3xyz

d)

Can't Simplify

24.

a)

3 ³√25

b)

³√375

c)

3 ³√125

d)

5 ³√3

25.

Which is equivalent to ∛54 in simplest form?

a)

3∛6

b)

9∛2

c)

3∛2

d)

3∛3

26.

Solve: 5x²= -15

a)

3, -3

b)

1.7, -1.7

c)

1.5, -1.5

d)

no solution

27.

Solve: -7x² +21 = 14

a)

1

b)

-1

c)

NO Real Solutions

d)

1, -1

28.

Solve:

a)

x = 5

b)

x = 10

c)

x = -9

d)

x = -5

29.

Solve: 4g³ = 500

a)

22.36

b)

125

c)

-5

d)

5

30.

a)

x = 2

b)

x = 4

c)

x = 7

d)

x = 9

31.

Solve:
$x^{3\ }+\ 5\ =\ 13$

a)

±2

b)

2

c)

3

d)

8

32.

Solve the cube root equation

a)

344

b)

21

c)

-344

d)

-21

e)

None

33.

Solve the cube root equation

a)

-125

b)

125

c)

25

d)

-25

e)

None

34.

a)

x = 81

b)

x = -9

c)

x = 9

d)

x = -81

35.

What number can be written under the radical to make a true statement?

a)

405

b)

18,225

c)

3,645

d)

45

BH Mod 6.2 Review

Total questions: 35

Worksheet time: 9hrs 45mins

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