WorksheetsUnit 3 Part 1 Equations Review
Total questions: 55
Worksheet time: 3hrs 15mins
Name
Class
Date
1.
If x=5,find the value of 7x-1
a)
34
b)
36
c)
35
d)
11
2.
If y=4,find the value of 3y+5
a)
27
b)
12
c)
17
d)
39
3.
If a=4,b=5 and c=6,find 2c-a-b
a)
4
b)
3
c)
6
d)
15
4.
If y=7,find the value of 2(y+4)
a)
11
b)
22
c)
20
d)
13
5.
Evaluate u + xy, for u = 18 , x = 10 , and y = 8.
a)
188
b)
36
c)
98
d)
224
6.
Solve for the variable:
x - 8 = 5
x - 8 = 5
a)
x = 13
b)
x = -13
c)
x = 3
d)
x = -3
7.
Solve for the variable:
x + 12 = 20
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
8.
Solve for the variable:
6b = 30
6b = 30
a)
b = 36
b)
b = 24
c)
b = 180
d)
b = 5
9.
Solve for the variable:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
10.
Solve for the variable:
y - 4.6 = 12
y - 4.6 = 12
a)
y = 16.6
b)
y = 5.8
c)
y = 7.4
d)
Answer not Given
11.
Match the word problem with its equation:
How many packages of diapers can you buy with $40 if one package costs $8?
How many packages of diapers can you buy with $40 if one package costs $8?
a)
8 + n = 40
b)
8n = 40
c)
8 - n = 40
d)
8/n = 40
12.
Match the word problem with its equation:
After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad?
After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad?
a)
n + $5.12 = $27.10
b)
n - $5.12 = $27.10
c)
n - $27.10 = $5.12
d)
$5.12 - n = $27.10
13.
Match the word problem with its equation:
Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?
Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?
a)
29 - n = 41
b)
n - 29 = 41
c)
29 + n = 41
d)
41 -29 = n
14.
Match the word problem with its equation:
Nicole and her best friend split the amount of money they earned over the weekend mowing lawns. If each person got $10.93, what is the total amount of money they earned?
Nicole and her best friend split the amount of money they earned over the weekend mowing lawns. If each person got $10.93, what is the total amount of money they earned?
a)
2d=10.93
b)
d/2=10.93
c)
d-2=10.93
d)
d+2=10.93
15.
Nicole and her best friend split the amount of money they earned over the weekend mowing lawns. If each person got $10.93, what is the total amount of money they earned?
a)
$8.93
b)
$12.93
c)
$218.6
d)
$21.86
16.
Match the word problem with its equation:
Billy bought 5 items that each cost the same amount. If he spent a total of $62.00 on the items, how much did each item cost?
Billy bought 5 items that each cost the same amount. If he spent a total of $62.00 on the items, how much did each item cost?
a)
d/5=62
b)
d-5=62
c)
5d=62
d)
5 + d = 62
17.
Billy bought 5 items that each cost the same amount. If he spent a total of $62.00 on the items, how much did each item cost?
a)
$12.40
b)
$3.10
c)
$57.00
d)
$61.95
18.
Match the word problem with its equation:
In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. How much did the tree grow?
In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. How much did the tree grow?
a)
f + 8 = 14
b)
f - 8 = 14
c)
f/8 = 14
d)
8f=14
19.
In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. How much did the tree grow?
a)
1.75 feet
b)
22 feet
c)
112 feet
d)
6 feet
20.
Match the word problem with its equation:
Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. What was the total bill?
Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. What was the total bill?
a)
d/4=$11.13
b)
4d=$11.13
c)
d/5=$11.13
d)
5d=$11.13
21.
Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. What was the total bill?
a)
$44.45
b)
$2.26
c)
$55.65
d)
$2.78
22.
Match the word problem with its equation:
Sally bought three candy bars for a total of $18.00. How much did each candy bar cost?
Sally bought three candy bars for a total of $18.00. How much did each candy bar cost?
a)
18c=6
b)
c + 6= 18
c)
c +18 = 6
d)
3c=18
23.
Sally bought three candy bars for a total of $18.00. How much did each candy bar cost?
a)
$6
b)
16 cents
c)
$15
d)
15 cents
24.
Match the word problem with its equation:
Amy was given an amount of money, m, for a good grades on her report card. She spent $15.00 and now has $25.32. How much money did she get for good grades?
Amy was given an amount of money, m, for a good grades on her report card. She spent $15.00 and now has $25.32. How much money did she get for good grades?
a)
m-25.32=15
b)
m/25.32
c)
m-15=25.32
d)
15m=25.32
25.
Amy was given an amount of money, m, for a good grades on her report card. She spent $15.00 and now has $25.32. How much money did she get for good grades?
a)
$32.40
b)
$10.32
c)
$40.32
d)
$16.88
26.
Match the word problem with its equation:
Working together, Joy and Steve collected 53 pounds of aluminum cans for recycling. If Joy collected 20 pounds, find the number of pounds, x, that Steve collected.
Working together, Joy and Steve collected 53 pounds of aluminum cans for recycling. If Joy collected 20 pounds, find the number of pounds, x, that Steve collected.
a)
20x=53
b)
x-20=53
c)
x-53=20
d)
x+20=53
27.
Working together, Joy and Steve collected 53 pounds of aluminum cans for recycling. If Joy collected 20 pounds, find the number of pounds, x, that Steve collected.
a)
33
b)
73
c)
2.65
d)
32
28.
Match the word problem with its equation:
Robin made $24.00 one weekend and some money, m, the next. She made a total of $65.00. How much money did Robin make the second weekend?
Robin made $24.00 one weekend and some money, m, the next. She made a total of $65.00. How much money did Robin make the second weekend?
a)
24m=65
b)
m/24=65
c)
m+24=65
d)
m-24=65
29.
Robin made $24.00 one weekend and some money, m, the next. She made a total of $65.00. How much money did Robin make the second weekend?
a)
$41.00
b)
$89.00
c)
$2.70
d)
$64.76
30.
Find an equivalent expression for the following:
5(a + 6)
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
31.
Find an equivalent expression for the following: 2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
32.
Which expression is equivalent to
v + v + v + v + v?
v + v + v + v + v?
a)
5v
b)
v5
c)
v + 5
d)
v5
33.
Find an equivalent expression for 3(2y - 7)
a)
6y - 7
b)
6y - 21
c)
5y - 7
d)
5y - 21
34.
Which expression is equivalent to
3x + 5 + 7x + 2?
3x + 5 + 7x + 2?
a)
10x + 7
b)
17x
c)
17
d)
15x + 2
35.
Which expression is equivalent to 6y + 22y + y?
a)
28y + 1
b)
29y
c)
22y + 7
d)
29
36.
A math statement without an equal sign is called a ______________________ .
a)
Equation
b)
Expression
c)
Statement
d)
Problem
37.
A math statement containing constants, variables, and an equal sign is called __________________.
a)
equation
b)
expression
c)
statement
d)
problem
38.
State whether each pair of expressions are equivalent.
9(y - 2) and 18 - 9y
9(y - 2) and 18 - 9y
a)
not equivalent
b)
Equivalent
39.
Which expression is equivalent to:
8 + 3t
8 + 3t
a)
None
b)
11t
c)
5t
d)
11
40.
The following expressions are equivalent because of ___(which property)___
3(w + 4) = 3w + 12
3(w + 4) = 3w + 12
a)
Identity Property
b)
Distributive Property
c)
Commutative Property
d)
Associative Property
41.
The following expressions are equivalent because of ___(which property)___
(5 + 3) + 2 = 5 + (3 + 2)
(5 + 3) + 2 = 5 + (3 + 2)
a)
Commutative Property
b)
Identity Property
c)
Associative Property
d)
Distributive Property
42.
The following expressions are equivalent because of ___(which property)___
3 + (12 + 8) = 3 + (8 x 12)
3 + (12 + 8) = 3 + (8 x 12)
a)
They are not equivalent.
b)
Associative Property
c)
Commutative Property
d)
Distributive Property
43.
The following expressions are equivalent because of ___(which property)___
4 + 3 + (2 + 5) = 4 + (3 + 2) + 5
4 + 3 + (2 + 5) = 4 + (3 + 2) + 5
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
d)
They are not equivalent.
44.
What property allows this statement to be true?
(A + B) + C = A + ( B + C)
(A + B) + C = A + ( B + C)
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Identity Property
45.
Find an equivalent expression using the associative property:
7 + ( 8 + 9)
7 + ( 8 + 9)
a)
7 + 8 + 9
b)
8 + ( 7 + 9)
c)
(7 + 8 ) + 9
d)
7 + 10
46.
Find an equivalent expression using the Commutative property:
4 x 3 x 5 =
4 x 3 x 5 =
a)
4 + 3 x 5
b)
5 x 4 x 3
c)
5 + 4 + 3
d)
3x + 5
47.
Find an expression using the commutative property:
a)
8 + 2 = 2 - 8
b)
7 x 1 = 7
c)
7 + 0 = 7
d)
7 x 6 = 6 x 7
48.
Which of the following is an example of the identity property of multiplication?
a)
1 x 3 = 3
b)
7 + 0 = 0
c)
12 + 0 = 12
d)
2 x 3 = 3 x 2
49.
Which property is illustrated here?
2 + 7 + 8 = 2 + 8 + 7
2 + 7 + 8 = 2 + 8 + 7
a)
Identity Property
b)
Distributive Property
c)
Commutative Property
d)
Associative Property
50.
Which of the following is an example of the Associative Property?
a)
(y + 2) + 4 = y + (2 + 4)
b)
4 x 1/4 = 1
c)
12a ⋅1 = 12a
d)
abc = cba
51.
Which of the following is an example of Commutative Property?
a)
x + -x = 0
b)
5x + 0 = 5x
c)
3 + x = x + 3
d)
5(2x - 4) = 10x - 20
52.
Which of the following is an example of the Distributive Property?
a)
5p x 0 = 0
b)
(n + m) + p = n + (m + p)
c)
4(2a + 7) = 8a + 28
d)
6 + -6 = 0
53.
1/4 ÷ 2/5
a)
5/8
b)
2/20
c)
1/10
d)
3/9
54.
3/8 x 2/5 (Remember to Simplify)
a)
7/15
b)
1/3
c)
6/40
d)
3/20
55.
4¼ ÷ ¾
a)
5 ⅔
b)
6 ⅔
c)
10
d)
9⅗
100 %
