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Math 8th grade Review

Total questions: 70

Worksheet time: 2hrs 50mins

Name
Class
Date
1.

What transformation matches this algebraic representation?

a)

Dilation

b)

Rotation

c)

Translation

d)

Reflection

2.

What transformation matches this algebraic representation?

a)

Dilation

b)

Rotation

c)

Translation

d)

Reflection

3.

What transformation matches this algebraic representation?

a)

Dilation

b)

Rotation

c)

Translation

d)

Reflection

4.

Which of the following is the algebraic representation for

reflection over the y-axis?

a)

b)

c)

d)

e)

5.

Which of the following is the algebraic representation for

90 counter-clockwise rotation?

a)
b)
c)
d)
e)
6.

Which of the following is the algebraic representation for

180 counter-clockwise rotation?

a)
b)
c)
d)
e)
7.

Which of the following is the algebraic representation for

reflection over the x-axis?

a)
b)
c)
d)
e)
8.

Which of the following is the algebraic representation for

90 clockwise rotation?

a)
b)
c)
d)
e)
9.

The slope of this line is _____

a)

positive

b)

negative

c)

neither positive nor negative

10.

The slope of this line is _____

a)

positive

b)

negative

c)

neither positive nor negative

11.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
12.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
13.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

14.

What side(s) will always be the longest on a right triangle?

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

15.

What side(s) will always be the shortest on a right triangle?


Select all that apply

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

16.

What is the relationship between the sides in the Pythagorean Theorem shown?


Hint: Think about when the hypotenuse is missing!

a)

a + b = c

b)

a2 + b2 = c2

c)

a2 – b2 = c2

d)

a – b = c

17.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
18.
Enlargement or reduction?  Find the scale factor!
a)
It's a reduction; the scale factor is 2.
b)
It's an enlargement; the scale factor is 2.
c)
It's an enlargement; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 1/2.
19.

Ordered pair (0,0) is also known as the ______.

a)

y-axis

b)

x-axis

c)

origin

20.

How do you write an ordered pair?

a)

(x, x)

b)

(y, y)

c)

(y, x)

d)

(x, y)

21.

Is the relationship proportional or non-proportional?

Chandler ordered a pepperoni pizza from Larry's Pizza. The pizza cost $12. The delivery fee was $2.

a)

Proportional

b)

Non-Proportional

22.

Is the relationship proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

23.

Is the relationship proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

24.

Is the relationship proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

25.

Is this relationship proportional or non-proportional?

Joey started mowing yards this summer. He charges $10 for every yard he mows.

a)

Proportional

b)

Non-Proportional

26.
Is the graph proportional or non proportional?
a)
Proportional because it is a straight line.
b)
Non-Proportional because it doesn't pass through the origin.
27.
Does the equation show a proportional relationship?
a)
Yes
b)
No
28.
Does the equation show a proportional relationship?
a)
Yes
b)
No
29.

Does this equation represent a proportional relationship?

a)

Yes

b)

No

30.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
31.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
32.
a)

Proportional

b)

Non-proportional

33.
Does the equation show a proportional relationship?
a)
Yes
b)
No
34.

Does this equation represent a proportional relationship?

a)

Yes

b)

No

35.

Does this equation represent a proportional relationship?

a)

Yes

b)

No

36.
Does the table show a proportional relationship?
a)
Yes
b)
No
37.
Does the table show a proportional relationship?
a)
Yes
b)
No
38.

Find the slope:

y = 2x + 3

a)

-2

b)

3

c)

1.5

d)

2

39.

Which of the equations below is proportional?

a)

y = 6x

b)

y = 3x + 2

c)

y = 2x + 4

d)

y = -2x -1

40.
Which best describes the equation?
y = 75x
a)
Proportional
b)
Nonproportional
41.
Does the equation show a proportional relationship?
a)
Yes
b)
No
42.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
43.

In the equation y= mx+b, what is m and b represents?

a)

m= slope, b = x-intercept

b)

m= slope, b= y-intercept

c)

m= y-intercept, b= slope

d)

m= x-intercept, b= slope

44.

What does y-intercept mean?

a)

The y-intercept is the steepness of the graph.

b)

The y-intercept is where the graph intersects the x-axis.

c)

The y-intercept is where the graph intersects the origin.

d)

The y-intercept is where the graph intersects the y-axi

45.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

46.

What side(s) will always be the longest on a right triangle?

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

47.

What side(s) will always be the shortest on a right triangle?


Select all that apply

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

48.

What is the relationship between the sides in the Pythagorean Theorem shown?


Hint: Think about when the hypotenuse is missing!

a)

a + b = c

b)

a2 + b2 = c2

c)

a2 – b2 = c2

d)

a – b = c

49.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
50.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
51.

What side is missing?

a)

Hypotenuse

b)

Leg

52.

Write 7.113 x 107 in standard form.

a)

71,130,000

b)

7,113,000

c)

0.0000007113

d)

7,113

53.
Write 0.00000707 in scientific notation.
a)
7.07 x 10-6
b)
7.07 x 106
c)
707 x 108
d)
707 x 10-8
54.
Write 7.8 x 10-3  in standard form.
a)
0.0078
b)
7,800
c)
78
d)
0.078
55.
Write 2.08 x 102  in standard form.
a)
208
b)
0.0208
c)
20,800
d)
0.208
56.
UNDERSTANDING
If the exponent is a negative number...
a)
you will get a large number
b)
you will get a small number
57.

UNDERSTANDING:

The first number in scientific notation must be...

a)

less than 1

b)

between 1 and 10

c)

greater than 10

d)

a negative number

58.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
59.

1. The ___ of a right triangle are the two sides of the triangle that form the right angle.

a)

Legs of a right triangle 

b)

Hypotenuse

c)

angles

d)

none of these

60.

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

61.

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

62.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really large or really small numbers

c)

I don't know...

d)

None of the above

63.

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

64.

Convert this number into scientific notation:


950,000

a)

9.5 x 105

b)

9.5 x 10-9

c)

9.5 x 102

d)

None of the above

65.
Write 0.037 in scientific notation.
a)
3.7 x 10-2
b)
3.7 x 102
c)
37 x 10-3
d)
37 x 103
66.
Write 0.000972 in scientific notation.
a)
9.72 x 10-4
b)
9.72 x 10-3
c)
972 x 10-4
d)
9.72 x 104
67.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
68.
Write 3.2 x 103 in standard form.
a)
3.200
b)
3200
c)
32000
d)
.0032
69.
Light travels at a rate of 186,000 miles per second.  Write this number in scientific notation.
a)
1.86 x 105
b)
1.86 x 104
c)
18.6 x 104
d)
186 x 103
70.
The closest galaxy to our own is over 2,500,000 light years away.  Write this number is scientific notation.
a)
2.5 x 107
b)
.25 x 107
c)
25 x 105
d)
2.5 x 106

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