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8th Grade IAR Review

Total questions: 68

Worksheet time: 4hrs 38mins

Name
Class
Date
1.

n + 1 - 3n = 9 - n

a)

-5

b)

-6

c)

-8

d)

3

2.

0 = −4 p + 4p

a)

one solution

b)

infinite solutions

c)

no solution

3.
The line pictured has a(n) ______ slope.
a)
Undefined
b)
Zero
c)
Positive
d)
Negative
4.
The line pictured has a(n) ______ slope.
a)
Positive
b)
Negative
c)
Undefined
d)
Zero
5.
The line pictured as a(n) ______ slope.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
6.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
7.
Which equation best represents the line on the graph?
a)
y= 1/2x
b)
y= -1/2x
c)
y = 2x
d)
y = -2x
8.

What TWO things do you need to write a linear equation? Check both things!

a)

Slope

b)

Y-intercept

c)

Y - axis

d)

Standard form

9.
a)
Function
b)
Not a Function
10.
a)
Function
b)
Not a Function
11.
a)
Function
b)
Not a Function
12.

Is this function linear or nonlinear?

a)

Linear function

b)

Nonlinear function

13.
Is this function linear or nonlinear?
a)
Linear function
b)
Nonlinear function
14.
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  Which system of equations could be used to find the exact number of dimes and nickels? 
a)
d + n = 6.60
.10d + .05n = 80
b)
d + n = 80
d + n = 6.60
c)
d + n = 80
.10d + .05n = 6.60
d)
d + n = 80
.05d + .10n = 6.60
15.
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Which equations could be used to determine the cost of the coffee? 
a)
10c + 5d = 14.25
5c + 10d = 16.50
b)
10c + 5d = 16.50
5c + 10d = 14.25
c)
c + d = 10
5c + 10d = 16.50
d)
c + d = 5
5c + 10d = 16.50
16.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
17.

3(x-8)=3x-24

a)

No Solution

b)

x=3

c)

Infinite Solutions

18.
Who has the greater rate of change?
a)
CJ has a greater rate of change with 13/2
b)
Holland has a greater rate of change with 6
c)
CJ has a greater rate of change with 2/13
d)
They have the same rate of change.
19.
Determine the slope from the table. 
a)
-2
b)
2
c)
-1/2
d)
1/2
20.
Which runner had a head start?
a)
A
b)
B
c)
C
21.
At what time did runner A pass runner B?
a)
0 seconds
b)
1 second
c)
2 seconds
d)
3 seconds
22.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
23.

Is this function represented by the graph Linear or Nonlinear

a)

linear

b)

nonlinear

24.

Is the function represented by the equation linear or nonlinear?

a)

linear

b)

nonlinear

25.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
26.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
27.

Is the relation a function?

a)

Yes

b)

No

28.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

29.
As the age of the car increases, its value decreases. Which scatterplot represents this relationship?
a)
A
b)
B
c)
C
d)
D
30.

What type of transformation is this?

a)

rotation

b)

translation

c)

reflection

d)

dilation

31.

What type of transformation is this?

a)

rotation

b)

translation

c)

reflection

d)

dilation

32.

What type of transformation is this?

a)

rotation

b)

translation

c)

reflection

d)

dilation

33.

What type of transformation is this?

a)

rotation

b)

translation

c)

reflection

d)

dilation

34.
-4x + 1 = 21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
35.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
36.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
37.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
38.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
39.
a)
Function
b)
Not a Function
40.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
41.
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)
42.

Label the type of association shown by the scatter plot as positive, negative or none.

a)

positive

b)

negative

c)

none

43.

Label the type of association shown by the scatter plot as positive, negative or none.

a)

positive

b)

negative

c)

none

44.
The number of notebooks bought and the total cost.
a)
positive association
b)
negative association
c)
no association
45.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
46.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
47.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
48.
Graph y = -3
a)
A
b)
B
c)
C
d)
D
49.

What is the 1st step in solving the following equation?

3x + 7 = x - 21

a)

Move variables to same side

b)

Add 7 to both sides

c)

divide both sides by 3

d)

Subtract 21 from both sides

50.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
51.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

52.

What is the slope of the line that passes through these two points (8, 4) and (5, 3)?

a)

3

b)

-1

c)

-1/3

d)

1/3

53.
Find the slope
a)
4/5
b)
5/4
c)
-5/4
d)
-4/5
54.

Is this function linear or nonlinear?

a)

linear

b)

nonlinear

55.

Is this function linear or nonlinear?

a)

Linear function

b)

Nonlinear function

56.
Is this function linear or nonlinear?
a)
Linear function
b)
Nonlinear function
57.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
58.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
59.
Solve the equation:
3x - x + 2 = 4(2x - 1)
a)
infinite solutions
b)
x = 1
c)
x = -1
d)
no solution
60.
Determine the Constant Rate of Change?
a)
-10 ft per second
b)
15 ft per second
c)
10 ft per second 
d)
-15 ft per second
61.
Find the slope of the line that passes through:
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
62.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
63.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
64.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

65.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
66.

Solve for x and y using ELIMINATION

3x + 2y = 16

7x + y = 19

a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
67.
The point Z(4, -2) is rotated 180 degrees about the origin.  What is the image of Z?
a)
Z'(2, 4)
b)
Z'(-4, 2)
c)
Z'(-2, -4)
d)
Z'(-4, -2)
68.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)