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8th Grade Review

Total questions: 70

Worksheet time: 3hrs 55mins

Name
Class
Date
1.
Determine the slope and y-intercept.         y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
2.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
3.
What is the y-intercept?
a)
1/2
b)
2
c)
7
d)
3
4.

I paid 1000 dollars for a new I-phone 12 Pro and have to pay 20 dollars a month for cell service. Which equation will show me how much will pay in 7 months?

a)

y=1000x + 20

b)

1000x + 20y = 7

c)

y= 20x + 1000

d)

1000 + 12 = 20

5.

How would the following equations look if you graphed them?


y= 1/2x - 2

y= 4x - 2

a)

They are parallel because they have the same slope.

b)

They would cross the y-axis at the same place.

c)

They would be perpendicular.

d)

They would look like a hot mess.

6.
Solutions to linear equations are....
a)
ordered pairs (x,y)
b)
slope
c)
y-intercept
7.
Which of the following is a solution to the graphed equation above?
a)
(3, 2)
b)
(-4, 6)
c)
(1, 3)
d)
(3, 1)
8.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
9.

When graphing, one always marks FIRST

a)

the y-intercept on the y-axis

b)

the slope on the y-axis

c)

the y-intercept on the x-axis

d)

the slope on the x-axis

10.

When graphing, one always starts counting the slope

a)

from the origin (0,0)

b)

on the y-axis

c)

from the y-intercept

d)

on the x-axis

11.
Change from standard form to scientific notation:  450,000
a)
4.5  x  105
b)
45  x  105
c)
4.5  x  104
d)
4.5  x  106
12.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
13.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
14.
What does the slope tell you about the line?
a)
Steepness
b)
Direction
c)
Rate of change
d)
All of the above
15.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
16.
What would the graph of y = 8 look like?
a)
Horizontal line
b)
Vertical line
c)
Slanted line
d)
No way to tell
17.
Vertical or horizontal?
x = 4
a)
vertical 
b)
horizontal
c)
neither
18.

 6x+9=4x−36x+9=4x-3  

 2x+9=−32x+9=-3  

What move matches the first equation to the second?

   

a)

  Multiply both sides by  14\frac{1}{4}  .

b)

Multiply both sides by -4.

c)

  Multiply both sides by  −14-\frac{1}{4}  .

d)

   Add -4x to both sides.

e)

Add -4 to both sides.

19.

Where is the mistake in solving this equation?

a)

There is no mistake.

b)

In line two when they got 12. It should stay a 3.

c)

In line 6 when they got 5. They should have added -2 to both sides and got -8.

d)

In line 4. They added 6x on the left sided but subtracted 6x on the right side.

20.

Combine like terms.


4x+3-2x-4

a)

6x+7

b)

6x-1

c)

2x-1

d)

2x+7

21.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
22.
multiplying 2 negative numbers
a)
negative
b)
positive
23.

True or False: When MULTIPLYING AND DIVIDING integers, they follow the same rules.

a)

True

b)

False

24.
multiplying with a negative and positive
a)
negative
b)
positive
25.

The graph represents the money in a savings account. What is the meaning of the vertical intercept?

a)

The initial deposit was $30

b)

$30 is added to the account each week

c)

It took 30 weeks to same enough money to open an account

d)

not enough information

26.
Analyze the point (3, 27). What does the point represent? 
a)
The point (3,27) represents 27 shirts for $3. 
b)
The point (3,27) represents $27 for 3 shirts. 
27.

Which function has the GREATEST slope?

a)
b)
c)
d)
28.

Which function has the GREATEST vertical intercept?

a)
b)
c)
d)
29.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
30.
Is the graph proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
31.
Slope is written as a(n) ________.
a)
Ordered Pair (x, y)
b)
Fraction
32.
Find the slope:
(-1,-9) and (5, -6)
a)
-15/4
b)
1/2
c)
-3/6
d)
11/3
33.
Find the slope of the graph.
a)
2
b)
1/2
c)
4
d)
1/4
34.
What is the slope?
a)
1/2
b)
2
c)
7
d)
3
35.

What is the slope of the line represented by the equation y = 7 - x?

a)

7

b)

0

c)

1

d)

-1

36.

For two weeks, the highest temperature each day was recorded in four different cities. Lines ℓ, m, n, and p are graphs of the temperature over time in Lubbock, Memphis, New Orleans, and Phoenix. Which statement is true?

a)

The high temperature in Memphis increased as time passed.

b)

The high temperature in Pheonix steadily increased as time passed.

c)

At the beginning, the high temperature in New Orleans is higher than in Lubbock.

d)

The high temperatures in Lubbock and Memphis both increased as time passed.

37.
area of a circle
a)
a=πr2
b)
a=pi2
c)
a=πD
d)
a=2πr
38.
volume of a cylinder
a)
v=πr2h
b)
v=πrh
c)
v=πrh
d)
v=lw
39.
Supplementary angles
a)
have a sum of 90°
b)
have a sum of 180°
c)
have a sum of 360°
d)
are congruent
40.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
41.
What is the inverse operation of subtraction?
a)
Subtraction
b)
Multiplication
c)
Division
d)
Addition
42.

What is the inverse operation of dividing?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

43.

a number that is multiplied by a variable

a)

expression

b)

constant

c)

coefficient

d)

variable

44.

a number on its own

a)

constant

b)

coefficient

c)

operator

d)

term

45.

What is the vocabulary word for the y in this expression: -5y + 4?

a)

variable

b)

constant

c)

coefficient

46.

What are like terms?

a)

Terms with different variables

b)

Terms with the same variables

c)

Terms with no variables

47.
Solve the equation:
7x - 4 = 3 + 8x
a)
x = 7
b)
x = -7
c)
x = 2/7
d)
x = 11
48.

What is the first step to solving a linear equation?

a)

Simplify the answer.

b)

Check to see if you can combine like terms.

c)

Take the variables out of the equation.

d)

Check to see if you need to do the distributive property.

49.

What does it mean to have a number and a variable together?

For example: 3x

a)

Add

b)

Drop the x.

c)

Multiply

d)

Subtract

50.

Distributive property equations are equations when you are _________ one term with another 2 or more terms inside parentheses.

a)

Adding

b)

Multiplying

c)

Guessing

d)

Simplifying

51.

When distributing a number through ( ), it needs to multiply to __________________

a)

just the first term inside the ( )

b)

just the last term inside the ( )

c)

every term inside the ( )

d)

any two terms inside the ( )

52.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
53.
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
54.
You can identify a function from a graph by using the.....
a)
Horizontal Line Test
b)
Eye Test
c)
Vertical Line Test
d)
Diagonal Line Test
55.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
56.
What is the definition of a function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
57.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
58.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
59.

 3650=365^0=  

a)

0

b)

1

c)

365

d)

 1365\frac{1}{365}  

60.

If a number or variable does not have an exponent, we can assume the exponent is:

a)

0

b)

1

61.

Which number is the BASE? 272^7 =128

a)

2

b)

7

c)

128

d)

 272^7  

62.

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

63.

 (x5)4\left(x^5\right)^4  

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

64.

Using exponents, simplify the following expression:


55 * 5-3

a)

5-15

b)

58

c)

5-8

d)

52

65.
What is the expanded form?
(x3)4
a)
x3 ⋅x4
b)
(x⋅x⋅x)(x⋅x⋅x)(x⋅x⋅x)(x⋅x⋅x)
c)
12x
d)
x7
66.
Any number to the second power.        Ex: 32 or 52
a)
Power
b)
Squared
c)
Cubed
d)
Quarter
67.
Any number to the 3rd power. Ex: 53
a)
Power
b)
Squared
c)
Cubed
d)
Quarter
68.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
69.
What is the formula for volume of a CYLINDER?
a)
V = πr²
b)
V = πr²h
c)
V =  ⅓πr²h
d)
V =  ⅓LWH
70.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear

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