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WorksheetsEquations Review (Algebra)
Total questions: 60
Worksheet time: 1hrs 13mins
Name
Class
Date
1.
What is the difference between an equation and an expression?
a)
the equal sign
b)
nothing
c)
variables
d)
operations
2.
Write the phrase as an expression:
4 less than 5.
4 less than 5.
a)
4 - 5
b)
5 - 4
c)
4p - 5
d)
5 - 4p
3.
Write the phrase as an expression:
the sum of 6 and x.
the sum of 6 and x.
a)
x + 6
b)
6/x
c)
x + 4
d)
6x
4.
Write the phrase as an expression:
the product of 4 and p.
the product of 4 and p.
a)
4/p
b)
4P
c)
12/4p
d)
12/4x
5.
Write the phrase as an expression:
twice a number x plus 8.
twice a number x plus 8.
a)
2 + 8x
b)
2x + 8
c)
8(2x)
d)
2(8x)
6.
Write the phrase as an expression:
12 fewer than 22.
12 fewer than 22.
a)
22/12
b)
12 - 22
c)
22 - 12
d)
-22 + 12
7.
Write the phrase as an expression:
six times the number of girls.
Let g = number of girls.
six times the number of girls.
Let g = number of girls.
a)
6 + g
b)
6g
c)
g - 6
d)
g6
8.
Write the phrase as an expression:
eight plus triple the number of shirts.
Let s = number of shirts.
eight plus triple the number of shirts.
Let s = number of shirts.
a)
8 + 3s
b)
8 + s
c)
3s - 8
d)
8s + 3
9.
Write an algebraic expression for the following:
Cheryl is now x years old.
Her father is 24 years older than Cheryl.
Find her father's age in terms of x.
Cheryl is now x years old.
Her father is 24 years older than Cheryl.
Find her father's age in terms of x.
a)
(x - 24) yr old
b)
(24 / x ) yr old
c)
(x + 24) yr old
d)
(24 - X) yr old
10.
Identify the like terms in the expression:
5x + 2y + 8y + 3
5x + 2y + 8y + 3
a)
2 and 8
b)
2y and 8y
c)
5x, 2y, 8y, and 3
d)
None
11.
Solve the equation:
8 = x + 1
8 = x + 1
a)
9
b)
7
c)
6
d)
8
12.
Solve the equation:
x + 7 = 12
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = 4
d)
x = 84
13.
Solve the equation:
x - 5.5 = 10.5
x - 5.5 = 10.5
a)
x = 15
b)
x = 14
c)
x = 16
d)
x = 15.5
14.
Solve the equation:
4p = 16
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
15.
Solve the equation:
2w = 58
2w = 58
a)
w = 29
b)
w = 32
c)
w = 15
d)
w = 116
16.
Solve the equation:
x/3 = 4
x/3 = 4
a)
x = 12
b)
x = 1
c)
x = 16
d)
x = 3
17.
Solve the equation:
5x = 25
5x = 25
a)
x = 20
b)
x = 125
c)
x = 4
d)
x = 5
18.
Solve the equation:
1/2x = 6
1/2x = 6
a)
x = 12
b)
x = 18
c)
x = 3
d)
x = 16
19.
Solve the equation:
y - 33 = 147
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
20.
Solve the equation:
r + 12 = 25
r + 12 = 25
a)
37
b)
13
c)
300
d)
Answer not Given
21.
Solve the equation:
y - 14 = 66
y - 14 = 66
a)
80
b)
52
c)
79
d)
Answer Not Given
22.
Solve the equation:
y + 51 = 99
y + 51 = 99
a)
140
b)
150
c)
48
d)
Answer not Given
23.
Solve the equation:
2x - 9 = -35
2x - 9 = -35
a)
-13
b)
13
c)
22
d)
-22
24.
Solve the equation:
4x + 10 = -26
4x + 10 = -26
a)
4
b)
-4
c)
-9
d)
9
25.
Solve the equation:
x/3+ 10 = 15
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5
26.
Solve the equation:
x/4- 3 = 9
x/4- 3 = 9
a)
48
b)
24
c)
3
d)
36
27.
Solve the equation:
2/3(5x + 6) = 34
2/3(5x + 6) = 34
a)
51
b)
45
c)
8
d)
9
28.
Solve the equation:
3/4(6x + 2) = 15
3/4(6x + 2) = 15
a)
3
b)
6
c)
18
d)
20
29.
Sovle the equation:
2x - 3 + 4x = 27
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
30.
Solve the equation:
5x - 4 + 2x = 3
5x - 4 + 2x = 3
a)
1
b)
2
c)
3
d)
4
31.
a)
Ben
b)
Jenny
c)
Ben and Jenny
d)
Neither
32.
Solve the equation:
3x + 2(4x - 4) = 3
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
33.
Solve the equation:
2x + 3(5x - 7) = 47
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
34.
Solve the equation:
12.5 -4g = -2g - 3.5
12.5 -4g = -2g - 3.5
a)
g = -8
b)
g = 10
c)
g = 8
d)
g = 1.25
35.
Solve the equation:
-2h - 16 = 3h - 6
-2h - 16 = 3h - 6
a)
h = 10
b)
h = 2
c)
h = -2
d)
h = -10
36.
Solve the equation:
2(6b + 1) = 4(b - 5) -2
2(6b + 1) = 4(b - 5) -2
a)
b = - 2.75
b)
b = -7/8
c)
b = 3
d)
b = -3
37.
Solve the equation:
8v - 4(v + 8) = 8
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
38.
Simplify each equation. Tell whether the equation has one, none, or infinite solutions.
3x - 8 = 3(x - 4) + 1
3x - 8 = 3(x - 4) + 1
a)
one; x = -1/2
b)
no solutions
c)
infinite solutions
d)
one; x = 1/2
39.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x - 3) + 2
3x - 7 = 3(x - 3) + 2
a)
one; x = 7/3
b)
no solutions
c)
infinite solutions
d)
one; x = -7/3
40.
What should we do first to solve for x?
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
41.
Solve the literal equation for the given variable.
a)
(y-b)/m
b)
y/m - b
c)
y-b/m
d)
my/by
42.
Solve -2 = 4r + s for s.
a)
s = -2 + 4r
b)
s = 2 - 4r
c)
s = -2 - 4r
d)
s = 2 + 4r
43.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
44.
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)
45.
Solve for t.
a)
A
b)
B
c)
C
d)
D
46.
Solve for z.
a)
A
b)
B
c)
C
d)
D
47.
Solve for W.
a)
A
b)
B
c)
C
d)
D
48.
Solve for y:
x + y = 4
x + y = 4
a)
y = x + 4
b)
y = -x + 4
c)
x = -y + 4
d)
x= y - 4
49.
Solve for y:
3x + y = 12
3x + y = 12
a)
y = -3x +12
b)
x = y + 4
c)
x = y + 12
d)
y = 3x -12
50.
Solve for y:
2x + y = 41
2x + y = 41
a)
x = 2y + 41
b)
y = 2x -41
c)
y = -2x + 41
d)
x = y -39
51.
Solve the equation:
|−2n| + 10 = −50
|−2n| + 10 = −50
a)
{-30, 30}
b)
{-20, 20}
c)
{-5, 5}
d)
No Solution
52.
Solve the equation:
|v + 8| − 5 = 2
|v + 8| − 5 = 2
a)
{-15, -1}
b)
{-5, -1}
c)
{-15, 15}
d)
No Solution
53.
Solve the equation:
−2|−2r − 4| = -12
−2|−2r − 4| = -12
a)
{1, 3}
b)
{-3,-1}
c)
{-3}
d)
No Solution
54.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
55.
Solve the equation:
|2x –3| + 5 =10
|2x –3| + 5 =10
a)
{-1, 1}
b)
{-1, 4}
c)
{-4, -1}
d)
{1, 4}
56.
Solve the equation:
|x – 12| - 3 = 11
|x – 12| - 3 = 11
a)
{-26, -2}
b)
{-2, 26}
c)
{3, 25}
d)
{-7, 4}
57.
Solve the equation:
|x+19|=25
|x+19|=25
a)
{-6, 44}
b)
{-44, 6}
c)
{6}
d)
No Solution
58.
Solve the equation:
|x+5|= -57
|x+5|= -57
a)
{-52, 62}
b)
{-62, 52}
c)
{-62, -52}
d)
No Solution
59.
Solve the equation:
|x+6|=10
|x+6|=10
a)
{-4, 4}
b)
{-16, 4}
c)
{-16, 16}
d)
No Solution
60.
Solve the equation:
|−2n| + 10 = −50
|−2n| + 10 = −50
a)
{-30, 30}
b)
{-20, 20}
c)
{-5, 5}
d)
No Solution
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