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Grade 8 AC/AP Term 1 Final Exam Review

Total questions: 87

Worksheet time: 5hrs 2mins

Name
Class
Date
1.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
2.
-7b=49
a)
B=7
b)
B=-7
c)
B=2
3.
Solve   -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
4.
Solve   2x -7 = -23
a)
-8
b)
8
c)
-7
5.
Solve   7y - 4 = -11
a)
1
b)
2
c)
-1
d)
-2
6.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
7.
5(x - 3) + 2x = 27
a)
3
b)
42/15
c)
30/7
d)
6
8.
38 + 7k = 8(k + 4)
a)
6
b)
8
c)
-6
d)
1
9.
Solve the equation:
4 - 6x - 2= -2(3x-1)
a)
no solution
b)
infinitely many solutions
c)
x = ⅓
d)
x = 4
10.
Solve:
3(3x - 6) = 18
a)
x = 4
b)
x = -4
c)
no solution
d)
infinite solutions
11.
Solve for y:
2x + 2y = 6
a)
y = - x + 3
b)
y = x + 3
c)
y = 2x +6
d)
y = - 2x + 6
12.
Solve for y: 
4x + 3y = 9
a)
y = -3/4x + 3
b)
y = -4x + 9
c)
y = -4/3x + 3
d)
3y = -4x + 9
13.
Solve:
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
14.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
15.
3r - 5 = 2r
a)
No solution
b)
Infinitely many solutions
c)
r = 5
16.
The constant of proportionality can be found by finding the __________  _____________.
a)
unit rate
b)
proportion
c)
equation
d)
inequality
17.
The constant of proportionality in the equation y = ½x is _______. 
a)
x
b)
y
c)
1/2
d)
2
18.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
19.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
20.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
21.
In the equation y=mx+b,
what does m represent?
a)
Nothing in particular
b)
The y-intercept
c)
The x-intercept
d)
Slope
22.
Name the slope
a)
3
b)
1
c)
-1x
d)
-1
23.
Name the y intercept
a)
-1
b)
7
c)
-1x
d)
-7
24.
Name the slope
a)
Negative
b)
0 Slope
c)
Undefined
d)
Positive
25.

Name the equation that is represented by the graph.

a)

y=2x+5

b)

y=-2x+5

c)

y=2x-5

d)

y=-2x-5

26.
In the equation y=mx+b,
what does b represent?
a)
Slope
b)
x-intercept
c)
y-intercept
d)
Nothing significant 
27.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
28.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
29.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
30.
Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3
a)
y - 5 = -3(x - 10)
b)
y= -3x + 35
c)
y + 5= -3(x + 10)
d)
y= -3x - 35
31.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
32.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
33.
Write the following equation in slope-intercept form:
4x - 3y = 12
a)
y = -4/3x + 3
b)
y = -4x + 12
c)
y = 4/3x - 4
d)
y = 4/3x - 12
34.
What is the y-intercept for the given graph?
a)
-5
b)
5
c)
1
d)
-1
35.
Write an equation  
m = 5 through (-1, -3)
a)
y = 5x + 2
b)
y = -5x - 5
c)
y = -5x + 2
d)
y = 2x - 5
36.
Find the y-intercept of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
b = -6
b)
b = -7
c)
b = 6
d)
b = 7
37.
 Write the equation of the line that passes through the points (0, -5) and (4, 3)
a)
y=2x-5
b)
y=1/2x-5
c)
y=2x+5
d)
y=1/2x+5
38.
What is the slope?
a)
1/2
b)
2
c)
7
d)
3
39.
y=2x+1
a)
a
b)
b
c)
c
d)
d
40.
y=1/5x+9
a)
a
b)
b
c)
c
41.
y=x+5
a)
a
b)
b
c)
c
42.
Which function is shown in the table?
a)
y=8x-6
b)
y=4x-2
c)
y=x-17
d)
y=6x-2
43.
Describe how to sketch this graph
y=-5x+3
a)
Plot a point at  ( 0,5) then go up 3 and right one 
b)
Connect 3 and 5 and make a line
c)
Plot a point at the y intercept ( 0,3) then go down 5 and right one because slope is -5
d)
Plot a point at the y intercept ( 0,3) then go up 5 and right one because slope is 5
44.
What is the y intercept?
y=3x
a)
0
b)
undefined
c)
(0,3)
d)
3x
45.
What point is on the line?
y+4=-1/2(x+1)
a)
(1,4)
b)
(4,1)
c)
(1,2)
d)
(-1,-4)
46.

Using the graph below, how many cases of chocolate bars, x, will the company need to sell for their costs and revenue to be equal?

a)

3500

b)

6000

c)

35,000

d)

60,000

47.
a)

(-1/2, 0)

b)

(0, 2/7)

c)

Infinite Solutions

d)

No Solutions

48.

There are 156 laptops and desktops in a lab. There are 8 more laptops than desktops. How many laptops are there?

a)

82

b)

74

c)

56

d)

100

49.

What is the x-value in the system below?

a)

10/3

b)

-2

c)

2

d)

-10/3

50.
a)

90 walking and 45 running

b)

54 walking and 82 running

c)

45 walking and 90 running

d)

81 walking and 54 running

51.

What is the x value in the system?

a)

-17/3

b)

1/3

c)

-2/3

d)

1/6

52.
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 
a)
x + y = 1550
y  = 4x
b)
x + y = 1550
y = x + 4
c)
y - x = 1550
y = 4x
d)
y = 1550 + x
y = x + 4
53.
What is the solution?
(Hint:  Both lines are graphed over each other)
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
54.
−4x − 4y = 0
4x + 4y = 0 
a)
(−6, −4) 
b)
Infinite number of solutions  
c)
(−6, 10) 
d)
(6, 4) 
55.
-4x-2y=-12
4x+8y=-24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
56.
a)
(-1, -4)
b)
(-1, -3)
c)
(-3, -1)
d)
(-4, -1)
57.
a)
(-3, 0)
b)
(0, 3)
c)
(3, 0)
d)
(0, -3)
58.
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
59.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
(0, -1.5)
60.

How many solutions does this system have?

y = 2x + 1

y = 4x - 1

a)

One Solution

b)

No Solution

c)

Infinite Solutions

61.

Solve using elimination.

4x + 8y = 20

-4x + 2y = -30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

62.

For the following equations, which coefficients would be easier to make opposites?


2x + 3y = 12

4x - 7y = - 54

a)

2x and 4x

b)

3y and -7y

63.

Let's multiply the first equation by 2. What would be our new equation?

-2x - 3y = - 12

4x - 7y = - 54

a)

4x - 6y = -24

b)

-4x - 6y = 12

c)

-4x - 6y = 24

d)

-4x - 6y = -24

64.

Now, our equations will look like this

-4x - 6y = -24

4x - 7y = - 54


Let's combine (add) these 2 equations to ELIMINATE the x variable. What would our combined equations be?

a)

-1y = 30

b)

13y = -30

c)

-1y = -78

d)

-13y = -78

65.

Let's solve for y.

-13y = -78

a)

y = 6

b)

y = 1

c)

y = 8

d)

y = 30

66.

Now, let's find the solution to the system.


2x + 3y = 12

4x - 7y = - 54

a)

(-3, 2)

b)

(-3, -2)

c)

(6, -3)

d)

(-3, 6)

67.

Is (9, 9) a solution to the system of equations?
x+y=18
x-y=0

a)

Yes, it is a solution to the system of equations

b)

No, it only satisfies the first equation, and fails to satisfy the second.

c)

No, it only satisfies the second equation, and fails to satisfy the first.

d)

No, it fails to satisfy both equations

68.

A visual- representation of a relation in which an arrow associates each input with its output

a)

Function

b)

Ordered Pair

c)

Mapping Diagram

d)

Relation

69.

X values may also be considered: (select all that apply)

a)

Input

b)

Output

c)

Domain

d)

Range

e)

f(x)

70.

Y values may also be considered: (select all that apply)

a)

Input

b)

Output

c)

Domain

d)

Range

e)

f(x)

71.

Shows the relationship between two elements, written in a specific order using parentheses notation and a comma separating the two values.

a)

Function

b)

Ordered Pair

c)

Mapping

d)

Relation

72.

A relation in which each input is paired with exactly one output

a)

Function

b)

Ordered Pair

c)

Mapping

d)

Relation

73.

Does this represent a function?

a)

Yes

b)

No

74.

Does this represent a function?

a)

Yes

b)

No

75.

a)

A

b)

B

c)

C

d)

D

76.

What is the definition of 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

77.

The price p of an ice cream is $3.95 plus $0.85 for each topping t on the ice cream.

a)

p = 0.85t - 3.95

b)

p = 0.85t + 3.95

c)

p = 3.95t + 0.85

78.

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work?

a)

C = 50h + 25

b)

25 = 5h + 50

c)

90

d)

425

79.
Write the function rule for the following table.
a)
 5x
b)
5x + 1
c)
 x + 5
d)
 x + 1
80.
The output is four times the input.
a)
y = x/4
b)
4x
c)
y = 4x
d)
y = x +4
81.
The number of multiple-choice questions on a test is ten times the number of open-ended questions.  Write a function that describes the relationship.
a)
y = 10x
b)
x = 10y
c)
y = 10 + x
d)
x = 10 + y
82.

Find the function rule.

a)

y = 2x

b)

y = 2x+3

c)

y = 3x+3

d)

y = -2x+3

83.
Which equation is being represented by this line?
a)
y = -1x + 2
b)
y = 1/2x + 2
c)
y = 3x -4
d)
y = -3x +2
84.
Which equation best represents the line on the graph?
a)
y= 1/2x
b)
y= -1/2x
c)
y = 2x
d)
y = -2x
85.
Given h(x) = 5 - 9x, find h(8). 
a)
h(8) = -360
b)
h(8) = -67
86.

Given g(x) = 4x - 7, find g(-9).

a)

g(-9) = 29

b)

g(-9) = -43

c)

g(-9) = 43

d)

g(-9) = -29

87.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation

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