Free Printable 8th Grade Chapter 3 Review

1.

Find the two square roots of 196

a)

14

b)

98

c)

14 and -14

d)

14 and 5.8

2.

Find the two square roots of:

\frac{64}{81}

a)

$\frac{8}{9}$

b)

$0.79$

c)

$\frac{8}{9}\ and\ -\frac{8}{9}$

d)

$\frac{32}{81}\ and\ -\frac{32}{81}$

3.

Find the cube root of -64

a)

-4

b)

-8

c)

4 and -4

d)

8 and -8

4.

Identify the number as rational or irrational:

3.\overline{02}

a)

Rational

b)

Irrational

5.

Identify the number as rational or irrational:

2.03003000300003...

a)

Rational

b)

Irrational

6.

Identify the number as rational or irrational:

\sqrt{25}

a)

Rational

b)

Irrational

7.

Identify the number as rational or irrational:

\sqrt{20}

a)

Rational

b)

Irrational

8.

Identify the number as rational or irrational:

\frac{3}{5}

a)

Rational

b)

Irrational

9.

Identify the number as rational or irrational:

4\pi

a)

Rational

b)

Irrational

10.

$\sqrt{52}$

Estimate the value of the expression to the nearest integer:

a)

7.2

b)

49

c)

7

d)

8

11.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

12.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

13.

solve for c

a)

7

b)

9

c)

4

d)

13

14.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

15.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

16.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

17.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

18.

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

19.

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

20.

Use the formula $A=\frac{1}{2}bh$ to find the area of a triangle with leg 12 and hypotenuse 15.

Round to the nearest tenth if required.

a)

54

b)

19.2

c)

90

d)

115.2

21.

Which axis runs vertically?

a)

x

b)

y

22.

Which axis runs horizontally?

a)

x

b)

y

23.

How do you write an ordered pair?

a)

(x,x)

b)

(y,x)

c)

(x,y)

d)

(y,y)

24.

Where is point E located?

a)

(2, 0)

b)

(2, 2)

c)

(0, 2)

d)

(0, 0)

25.

Write a translation rule for the translation shown.

a)

$\left(x,\ y\right)\rightarrow\left(x+9,\ y-2\right)$

b)

$\left(x,\ y\right)\rightarrow\left(x-2,\ y+9\right)$

c)

$\left(x,\ y\right)\rightarrow\left(x+2,\ y-9\right)$

d)

$\left(x,\ y\right)\rightarrow\left(x-9,\ y+2\right)$

26.

Triangle ABC is going to be translated. What are the coordinated of A' after the translation

\left(x,\ y\right)\rightarrow\left(x+3,\ y-2\right)

a)

(-1, 3)

b)

(5, 3)

c)

(5, 8)

d)

(3, 5)

27.

Write the rule for this translation:
Slide 3 up and 2 right

a)

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

b)

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

c)

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

28.

Rotate the point (-5,8) around the origin 180 degrees counterclockwise.

State the image of the point.

a)

(5, 8)

b)

(-5, -8)

c)

(5, -8)

d)

(-5, 8)

29.

Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

a)

(x,y)→(y, -x)

b)

(x,y)→(x,y)

c)

(x,y)→(-x,-y)

d)

(x,y)→(-y,x)

30.

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?

a)

(x,y)→(y, -x)

b)

(x,y)→(-x,-y)

c)

(x,y)→(x,y)

d)

(x,y)→(-y,x)

31.

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

a)

(x,y)→(y, -x)

b)

(x,y)→(x,y)

c)

(x,y)→(-y,x)

d)

(x,y)→(-x,-y)

32.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees counterclockwise

c)

270 degrees counterclockwise

d)

360 degrees counterclockwise

33.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

a)

(-4, -3)

b)

(-4, 3)

c)

(4, -3)

d)

(3, 4)

34.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

35.

Reflect over x-axis. Which point would be at (3, -6)?

a)

A

b)

B

c)

C

d)

H

36.

You want to reflect a figure over the horizontal line shown.
What directions would you give?
Reflect over the line: ________

a)

x = -4

b)

y = -4

c)

x - y = 4

d)

None of these

37.

Reflect the point (2, -4) over the y-axis.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

38.

Reflect (6, -3) over the line x-axis.

a)

(6, 3)

b)

(-6, -3)

c)

(-3, 6)

d)

(3, -6)

8th Grade Chapter 3 Review

Total questions: 38

Worksheet time: 3hrs 42mins

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