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Linear Equation Review

Total questions: 25

Worksheet time: 1hrs 11mins

Name
Class
Date
1.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
2.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
3.
5x - 4 + 2x = 3
a)
1
b)
2
c)
3
d)
4
4.
4x + 10 = 2(x - 13)
a)
18
b)
-18
c)
-9
d)
9
5.
Solve for w.
a)
w = ap
b)
w = a/p
c)
w = a-p
d)
w = p+a
6.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
7.
8x + 4y= 16
Solve for y
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
8.
pV = nRT
solve for R
a)
R= pV/nT
b)
R= p/n + V/T
c)
R= pV - nT
d)
R= (pV-n)/T
9.
Billy's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. How many hours of labor did the mechanic work on the car if her total bill was $260?
a)
3 hours
b)
12 hours
c)
2.5 hours
d)
5 hours
10.
Which equation represents the total cost of a repair by an electrician after x hours?
An electrician charges $90 per hour plus a $50 travelling fee.
a)
y = 50 - 90x
b)
y = 90x + 50
c)
y = -50x + 90
d)
y = -90 - 50x
11.
The drama club sold tickets to a play for $5 each.  They also made $55 in soda and popcorn sales.  If the drama club made a total of $290, how many tickets were sold?
a)
47
b)
58
c)
69
d)
113
12.
Shawn has $3 more than twice as much money as Peter.  If Shawn has $10, how much money does Peter have?
a)
$17.00
b)
$6.75
c)
$3.50
d)
$23.00
13.
A yard's width is 2 less than it's length.  If the perimeter of the yard is 20 feet, determine the length and the width of the yard.
a)
length = 2 ft, width = 4 ft
b)
length = 6 ft, width = 4 ft
c)
length = 4 ft, width = 6 ft
d)
length = 8 ft, width = 2 ft
14.
The length of a rectangle is 4 inches more than its width.  The perimeter is 96 inches,  Find the dimensions of the rectangle.  
a)
40, 56
b)
80, 16
c)
22, 26
d)
24, 4 
15.
Find three consecutive integers whose sum is 84.
a)
26, 28, 30
b)
28, 30, 32
c)
27, 28, 29
d)
24, 26, 28
16.
Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.
a)
y = 48x + 5
b)
y = -5 + 48x
c)
y = -5x - 48
d)
y = 48 - 5x
17.
Sean wants to have an average of a 90 in Algebra. He made an 85 and an 88 on his last two tests. What does he need to make on his next test to average exactly 90?
a)
97
b)
98
c)
99
d)
95
18.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
19.
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
20.
The table shows Eli’s distance from home as he rides his bike at a steady rate after meeting a friend. . Write an equation in y = mx + b form that represents the miles, y, that Eli goes in x hours. 
a)
y = 2x + 2
b)
y = 12x + 12
c)
y = 12x + 2
d)
y = 2x + 12
21.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
22.
Write the Equation
a)
y = -5/2x - 2
b)
y = 5/2x - 1
c)
y = 2/5x - 3
d)
y = 5/2x - 3
23.
Write in slope intercept form
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
24.
What is the slope intercept form of the equation
4x - 8y = 72
a)
y = -4x + 72
b)
y = -4x - 9
c)
y = 1/2x - 9
d)
y = 4x + 9
25.
Write the equation in slope-intercept form:
-3y + 5x = 12
a)
y = -4 + 5x
b)
y = -4 + 5/3x
c)
y = 4 - 5/3x
d)
y = 12 + 5x