Table of Contents
• Operations with Rationals Numbers (Decimals and Fractions)
• Fractions, Decimals, and Percents
• Ratios and Proportions
• Order of Operations
• Simplifying Algebraic Expressions
• Evaluating Expressions
• Solving One-Step Equations
• Solving Two-Step Equations
• Writing Equations with Independent and Dependent variables
Adding/Subtracting Decimals (A)
Calculate each sum or difference.
800.54 + 90.52 = 343.4+5.607 =
94.9 − 41.871 = 809.144 − 15.96 =
803.309 − 133.36 = 767.3 − 24.9=
489.08 − 4.2= 921.74 + 2.7=
384.94 + 17.348 = 260.65 − 40.9=
67.1 − 1.19 = 35.438 − 17.2=
686.4 − 199.61 = 6.356 + 5.8=
75.715 + 30.5= 89.88 − 48.8=
3.7+1.5= 64.32 + 21.63 =
875.75 + 26.64 = 656.86 + 46.37 =
Math-Drills.com
Text
Adding/Subtracting Decimals (A) Answers
Calculate each sum or difference.
800.54 + 90.52 = 891.06 343.4+5.607 = 349.007
94.9 − 41.871 = 53.029 809.144 − 15.96 = 793.184
803.309 − 133.36 = 669.949 767.3 − 24.9=742.4
489.08 − 4.2=484.88 921.74 + 2.7=924.44
384.94 + 17.348 = 402.288 260.65 − 40.9=219.75
67.1 − 1.19 = 65.91 35.438 − 17.2=18.238
686.4 − 199.61 = 486.79 6.356 + 5.8=12.156
75.715 + 30.5=106.215 89.88 − 48.8=41.08
3.7+1.5=5.2 64.32 + 21.63 = 85.95
875.75 + 26.64 = 902.39 656.86 + 46.37 = 703.23
Math-Drills.com
1-10
92 83 75 67 58 50 42 33 25 17
11-12
8 0
1)
6.38
× 5.2
1276
+ 31900
33.176
2)
945.3
× 3.4
37812
+ 283590
3,214.02
3)
2.1
× 3.6
126
+ 630
7.56
4)
81.4
× 3.1
814
+ 24420
252.34
5)
50.59
× 8.0
0
+ 404720
404.720
6)
4.5
× 4.1
45
+ 1800
18.45
7)
90.9
× 2.3
2727
+ 18180
209.07
8)
15.76
× 9.8
12608
+ 141840
154.448
9)
3.7
× 1.1
37
+ 370
4.07
10)
2.98
× 9.2
596
+ 26820
27.416
11)
977.8
× 7.4
39112
+ 684460
7,235.72
12)
1.5
× 1.7
105
+ 150
2.55
1.
33.176
2.
3,214.02
3.
7.56
4.
252.34
5.
404.720
6.
18.45
7.
209.07
8.
154.448
9.
4.07
10.
27.416
11.
7,235.72
12.
2.55
Solve each problem.
Multiplying with Decimals
Math
www.CommonCoreSheets.com
Name:
Answers
1
1-10
92 83 75 67 58 50 42 33 25 17
11-12
8 0
1)
6.38
× 5.2
1276
+ 31900
33.176
2)
945.3
× 3.4
37812
+ 283590
3,214.02
3)
2.1
× 3.6
126
+ 630
7.56
4)
81.4
× 3.1
814
+ 24420
252.34
5)
50.59
× 8.0
0
+ 404720
404.720
6)
4.5
× 4.1
45
+ 1800
18.45
7)
90.9
× 2.3
2727
+ 18180
209.07
8)
15.76
× 9.8
12608
+ 141840
154.448
9)
3.7
× 1.1
37
+ 370
4.07
10)
2.98
× 9.2
596
+ 26820
27.416
11)
977.8
× 7.4
39112
+ 684460
7,235.72
12)
1.5
× 1.7
105
+ 150
2.55
1.
33.176
2.
3,214.02
3.
7.56
4.
252.34
5.
404.720
6.
18.45
7.
209.07
8.
154.448
9.
4.07
10.
27.416
11.
7,235.72
12.
2.55
Solve each problem.
Multiplying with Decimals
Math
www.CommonCoreSheets.com
Name:
Answers
1
Answer Key
Dividing Decimals (A)
Find each quotient.
0.84
)
0.2268
0.75
)
0.5775
0.94
)
0.423
0.6
)
0.228
0.21
)
0.0966
0.93
)
0.1023
0.61
)
0.1281
0.86
)
0.645
0.42
)
0.168
0.46
)
0.0506
0.35
)
0.28
0.37
)
0.2035
Math-Drills.Com
Dividing Decimals (A) Answers
Find each quotient.
0.84
)
0.2268
0.75
)
0.5775
0.94
)
0.423
0.6
)
0.228
Whole number divisors and quotients:
 0.27  0.77  0.45 0.38
84
)
22.68
75
)
57.75
94
)
42.3
6
)
2.28
0.21
)
0.0966
0.93
)
0.1023
0.61
)
0.1281
0.86
)
0.645
Whole number divisors and quotients:
0.46  0.11  0.21  0.75
21
)
9.66
93
)
10.23
61
)
12.81
86
)
64.5
0.42
)
0.168
0.46
)
0.0506
0.35
)
0.28
0.37
)
0.2035
Whole number divisors and quotients:
 0.4 0.11  0.8  0.55
42
)
16.8
46
)
5.06
35
)
28
37
)
20.35
Math-Drills.Com
Basic Arithmetic Skill
Adding or Subtracting Fractions with Different Denominators
Evaluate each expression.
1)
3
4
+
2
5
2)
1 +
9
5
3)
13
7
+
3
2
4)
5
8
−
1
7
5)
1 +
3
7
6)
1
7
+
3
2
7)
4
5
+
9
7
8)
5
4
+
1
2
9)
7
4
+
5
8
10)
7 −
1
4
11)
3
2
+
4
3
12)
3 −
3
7
13)
2
3
+
10
7
14)
1
3
+
1
2
15)
4 −
13
7
16)
4
5
+
1
3
17)
3
2
+
11
6
18)
4
7
+
3
2
19)
5
7
+
1
4
20)
3
2
+
13
7
Answers to Adding or Subtracting Fractions with Different Denominators
1)
23
20
2)
14
5
3)
47
14
4)
27
56
5)
10
7
6)
23
14
7)
73
35
8)
7
4
9)
19
8
10)
27
4
11)
17
6
12)
18
7
13)
44
21
14)
5
6
15)
15
7
16)
17
15
17)
10
3
18)
29
14
19)
27
28
20)
47
14
Multiplying and Dividing Fractions (J)
Find the value of each expression in lowest terms.
1.
4
3
×
11
12
2.
8
3
×
1
2
3.
3
11
×
3
4
4.
11
9
÷
5
3
5.
3
2
÷
10
7
6.
4
7
×
3
4
7.
1
2
×
4
3
8.
1
2
÷
14
3
9.
3
2
÷
11
2
10.
17
11
÷
3
2
11.
9
4
×
11
10
12.
5
2
÷
9
8
13.
7
2
÷
4
7
14.
23
11
×
3
4
15.
14
3
×
2
3
Math-Drills.com
Multiplying and Dividing Fractions (J) Answers
Find the value of each expression in lowest terms.
1.
4
3
×
11
12
=
11
9
= 1
2
9
2.
8
3
×
1
2
=
4
3
= 1
1
3
3.
3
11
×
3
4
=
9
44
4.
11
9
÷
5
3
=
11
15
5.
3
2
÷
10
7
=
21
20
= 1
1
20
6.
4
7
×
3
4
=
3
7
7.
1
2
×
4
3
=
2
3
8.
1
2
÷
14
3
=
3
28
9.
3
2
÷
11
2
=
3
11
10.
17
11
÷
3
2
=
34
33
= 1
1
33
11.
9
4
×
11
10
=
99
40
= 2
19
40
12.
5
2
÷
9
8
=
20
9
= 2
2
9
13.
7
2
÷
4
7
=
49
8
= 6
1
8
14.
23
11
×
3
4
=
69
44
= 1
25
44
15.
14
3
×
2
3
=
28
9
= 3
1
9
Math-Drills.com
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Pre-Algebra Name___________________________________
Period____Date________________
Fractions, Decimals, and Percents
Write each as a decimal. Round to the thousandths place.
1) 90% 2) 30%
3) 115.9% 4) 9%
5) 7% 6) 65%
7) 0.3% 8) 445%
Write each as a percent. Round to the nearest tenth of a percent.
9) 0.452 10) 0.006
11) 0.002 12) 0.05
13) 4.78 14) 0.1
15) 3.63 16) 0.03
-1-
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Write each as a fraction.
17) 25% 18) 70%
19) 93% 20) 58%
21) 50% 22) 66.6%
23) 20% 24) 80%
25) 71% 26) 30%
Write each as a percent. Use repeating decimals when necessary.
27)
1
2
28)
1
8
29)
2
3
30)
1
100
31) 2
1
10
32)
3
8
33)
1
10
34)
87
100
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Pre-Algebra Name___________________________________
Period____Date________________
Fractions, Decimals, and Percents
Write each as a decimal. Round to the thousandths place.
1) 90%
0.9
2) 30%
0.3
3) 115.9%
1.159
4) 9%
0.09
5) 7%
0.07
6) 65%
0.65
7) 0.3%
0.003
8) 445%
4.45
Write each as a percent. Round to the nearest tenth of a percent.
9) 0.452
45.2%
10) 0.006
0.6%
11) 0.002
0.2%
12) 0.05
5%
13) 4.78
478%
14) 0.1
10%
15) 3.63
363%
16) 0.03
3%
-1-
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Worksheet by Kuta Software LLC
Write each as a fraction.
17) 25%
1
4
18) 70%
7
10
19) 93%
93
100
20) 58%
29
50
21) 50%
1
2
22) 66.6%
2
3
23) 20%
1
5
24) 80%
4
5
25) 71%
71
100
26) 30%
3
10
Write each as a percent. Use repeating decimals when necessary.
27)
1
2
50%
28)
1
8
12.5%
29)
2
3
66.6%
30)
1
100
1%
31) 2
1
10
210%
32)
3
8
37.5%
33)
1
10
10%
34)
87
100
87%
-2-
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. Free trial available at KutaSoftware.com
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MCC7.RP.1, MCC7.RP.2a & 2c, MCC7.G.1
REVIEW - Ratios & Proportions
Name___________________________________ ID: 1
Date________________ Period____
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-1-
Simplify each ratio.
1) 40:15 2) 49:7
Find the UNIT RATE for each.
3) 80 inches over 10 days 4) 3 ounces cost $2.73
5) 10 ounce jar of peanut butter is $3.90 6) 12 boxes can hold 96 books
Decide if each pair of ratios forms a proportion.
7)
12
6
and
4
2
8)
3
4
and
9
20
9)
4
2
and
8
6
10)
12
8
and
3
2
Solve each proportion.
11)
4
5
=
n
2
12)
5
b
=
9
5
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Worksheet by Kuta Software LLC
-2-
13)
x
9
=
2
6
14)
b
3
=
4
10
Answer each question and round your answer to the nearest whole number.
15) If you can buy one bunch of seedless green
grapes for $2, then how many can you buy
with $16?
16) One package of blueberries costs $3. How
many packages can you buy for $9?
17) The currency in the eastern Caribbean
islands is the Eastern Caribbean Dollar. The
exchange rate is approximately $1 to 3
Eastern Caribbean Dollars. At this rate,
how many Eastern Caribbean Dollars would
you get if you exchanged $5?
18) Abhasra took a trip to Malaysia. Upon
leaving she decided to convert all of her
Ringgits back into dollars. How many
dollars did she receive if she exchanged 24
Ringgits at a rate of 4 Ringgits to $1?
19) A frame is 4 in tall and 2 in wide. If it is
enlarged to a width of 6 in, then how tall
will it be?
20) Elisa reduced the size of a frame to a height
of 2 in. What is the new width if it was
originally 4 in tall and 8 in wide?
Each pair of figures is similar. Find the missing side.
21)
x
12
7
6
22)
8
12
x
6
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MCC7.RP.1, MCC7.RP.2a & 2c, MCC7.G.1
REVIEW - Ratios & Proportions
Name___________________________________ ID: 1
Date________________ Period____
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-1-
Simplify each ratio.
1) 40:15
8:3
2) 49:7
7:1
Find the UNIT RATE for each.
3) 80 inches over 10 days
8 inches per day
4) 3 ounces cost $2.73
$0.91 per ounce
5) 10 ounce jar of peanut butter is $3.90
$0.39 per ounce
6) 12 boxes can hold 96 books
8 books per box
Decide if each pair of ratios forms a proportion.
7)
12
6
and
4
2
Yes
8)
3
4
and
9
20
No
9)
4
2
and
8
6
No
10)
12
8
and
3
2
Yes
Solve each proportion.
11)
4
5
=
n
2
{
1.6
}
12)
5
b
=
9
5
{
2.77
}
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-2-
13)
x
9
=
2
6
{
3
}
14)
b
3
=
4
10
{
1.2
}
Answer each question and round your answer to the nearest whole number.
15) If you can buy one bunch of seedless green
grapes for $2, then how many can you buy
with $16?
8
16) One package of blueberries costs $3. How
many packages can you buy for $9?
3
17) The currency in the eastern Caribbean
islands is the Eastern Caribbean Dollar. The
exchange rate is approximately $1 to 3
Eastern Caribbean Dollars. At this rate,
how many Eastern Caribbean Dollars would
you get if you exchanged $5?
15 Eastern Caribbean Dollars
18) Abhasra took a trip to Malaysia. Upon
leaving she decided to convert all of her
Ringgits back into dollars. How many
dollars did she receive if she exchanged 24
Ringgits at a rate of 4 Ringgits to $1?
$6
19) A frame is 4 in tall and 2 in wide. If it is
enlarged to a width of 6 in, then how tall
will it be?
12 in
20) Elisa reduced the size of a frame to a height
of 2 in. What is the new width if it was
originally 4 in tall and 8 in wide?
4 in
Each pair of figures is similar. Find the missing side.
21)
x
12
7
6
14
22)
8
12
x
6
4
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Pre-Algebra Name___________________________________
Period____Date________________
Simplifying Variable Expressions
Simplify each expression.
1)
−3
p
+ 6
p
2)
b
− 3 + 6 − 2
b
3)
7
x
−
x
4)
7
p
− 10
p
5)
−10
v
+ 6
v
6)
−9
r
+ 10
r
7)
9 + 5
r
− 9
r
8)
1 − 3
v
+ 10
9)
5
n
+ 9
n
10)
4
b
+ 6 − 4
11)
35
n
− 1 + 46 12)
−33
v
− 49
v
13)
30
n
+ 8
n
14)
7
x
+ 31
x
15)
10
x
+ 36 − 38
x
− 47 16)
−2
(
7 −
n
)
+ 4
17)
−8
(
−5
b
+ 7
)
+ 5
b
18)
−4
p
−
(
1 − 6
p
)
19)
4 −
5
(
−4
n
+ 3
)
20)
−7
(
k
− 8
)
+ 2
k
21)
1 +
7
(
1 − 3
b
)
22)
3 −
8
(
7 − 5
n
)
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Pre-Algebra Name___________________________________
Period____Date________________
Simplifying Variable Expressions
Simplify each expression.
1)
−3
p
+ 6
p
3
p
2)
b
− 3 + 6 − 2
b
−
b
+ 3
3)
7
x
−
x
6
x
4)
7
p
− 10
p
−3
p
5)
−10
v
+ 6
v
−4
v
6)
−9
r
+ 10
r
r
7)
9 + 5
r
− 9
r
9 − 4
r
8)
1 − 3
v
+ 10
11 − 3
v
9)
5
n
+ 9
n
14
n
10)
4
b
+ 6 − 4
4
b
+ 2
11)
35
n
− 1 + 46
35
n
+ 45
12)
−33
v
− 49
v
−82
v
13)
30
n
+ 8
n
38
n
14)
7
x
+ 31
x
38
x
15)
10
x
+ 36 − 38
x
− 47
−28
x
− 11
16)
−2
(
7 −
n
)
+ 4
−10 + 2
n
17)
−8
(
−5
b
+ 7
)
+ 5
b
45
b
− 56
18)
−4
p
−
(
1 − 6
p
)
2
p
− 1
19)
4 −
5
(
−4
n
+ 3
)
−11 + 20
n
20)
−7
(
k
− 8
)
+ 2
k
−5
k
+ 56
21)
1 +
7
(
1 − 3
b
)
8 − 21
b
22)
3 −
8
(
7 − 5
n
)
−53 + 40
n
Create your own worksheets like this one with
Infinite Pre-Algebra
. Free trial available at KutaSoftware.com
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Pre-Algebra Name___________________________________
Period____Date________________
Evaluating Variable Expressions
Evaluate each using the values given.
1)
n
2
−
m; use
m = 7, and
n = 8 2)
8
(
x −
y
)
; use
x = 5, and
y = 2
3)
yx ÷ 2; use
x = 7, and
y = 2 4)
m −
n ÷ 4; use
m = 5, and
n = 8
5)
x −
y + 6; use
x = 6, and
y = 1
6)
z +
x
3
; use
x = 1, and
z = 19
7)
y +
yx; use
x = 15, and
y = 8 8)
q ÷ 6 +
p; use
p = 10, and
q = 12
9)
x + 8 −
y; use
x = 20, and
y = 17 10)
15 −
(
m +
p
)
; use
m = 3, and
p = 10
11)
10 −
x +
y ÷ 2; use
x = 5, and
y = 2 12)
p − 2 +
qp; use
p = 7, and
q = 4
-1-
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13)
zy + 4
y; use
y = 5, and
z = 2 14)
b
(
a +
b
)
+
a; use
a = 9, and
b = 4
15)
p
2
÷ 4 −
m; use
m = 3, and
p = 4 16)
x
(
y ÷ 3
)
2
; use
x = 4, and
y = 9
17)
4 +
m +
n −
m; use
m = 4, and
n = 9 18)
qp +
q −
p; use
p = 7, and
q = 3
19)
mn ÷ 6 + 10; use
m = 7, and
n = 6 20)
h +
j
(
j −
h
)
; use
h = 2, and
j = 6
21)
(
b − 1
)
2
+
a
2
; use
a = 6, and
b = 1
22)
y
(
x −
(
9 − 4
y
))
; use
x = 4, and
y = 2
23)
x −
(
x −
(
x −
y
3
))
; use
x = 9, and
y = 1 24)
j
(
h − 9
)
3
+ 2; use
h = 9, and
j = 8
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Pre-Algebra Name___________________________________
Period____Date________________
Evaluating Variable Expressions
Evaluate each using the values given.
1)
n
2
−
m; use
m = 7, and
n = 8
57
2)
8
(
x −
y
)
; use
x = 5, and
y = 2
24
3)
yx ÷ 2; use
x = 7, and
y = 2
7
4)
m −
n ÷ 4; use
m = 5, and
n = 8
3
5)
x −
y + 6; use
x = 6, and
y = 1
11
6)
z +
x
3
; use
x = 1, and
z = 19
20
7)
y +
yx; use
x = 15, and
y = 8
128
8)
q ÷ 6 +
p; use
p = 10, and
q = 12
12
9)
x + 8 −
y; use
x = 20, and
y = 17
11
10)
15 −
(
m +
p
)
; use
m = 3, and
p = 10
2
11)
10 −
x +
y ÷ 2; use
x = 5, and
y = 2
6
12)
p − 2 +
qp; use
p = 7, and
q = 4
33
-1-
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13)
zy + 4
y; use
y = 5, and
z = 2
30
14)
b
(
a +
b
)
+
a; use
a = 9, and
b = 4
61
15)
p
2
÷ 4 −
m; use
m = 3, and
p = 4
1
16)
x
(
y ÷ 3
)
2
; use
x = 4, and
y = 9
36
17)
4 +
m +
n −
m; use
m = 4, and
n = 9
13
18)
qp +
q −
p; use
p = 7, and
q = 3
17
19)
mn ÷ 6 + 10; use
m = 7, and
n = 6
17
20)
h +
j
(
j −
h
)
; use
h = 2, and
j = 6
26
21)
(
b − 1
)
2
+
a
2
; use
a = 6, and
b = 1
36
22)
y
(
x −
(
9 − 4
y
))
; use
x = 4, and
y = 2
6
23)
x −
(
x −
(
x −
y
3
))
; use
x = 9, and
y = 1
8
24)
j
(
h − 9
)
3
+ 2; use
h = 9, and
j = 8
2
-2-
Create your own worksheets like this one with
Infinite Pre-Algebra
. Free trial available at KutaSoftware.com
Name _____________________________ Period ______ Date ____________________
Solving One-Step Equations 1
You must show your work to get credit!! Check your answer.
Adding and Subtracting
1)
฀
y 6 20
2)
฀
x 10 12
3)
฀
12 z 15
4)
฀
2 n 16
5)
฀
a 4 14
6)
฀
m 5 10
7)
฀
4 b 30
8)
฀
10 c 25
9)
฀
x 60 20
10)
฀
g 16 4
11)
฀
x 15 20
12)
฀
w 14 10
13)
฀
r 18 27
14)
฀
13 k 25
15)
฀
f 16 34
16)
฀
j 17 19
17)
฀
r 16 5
18)
฀
9 t 56
Multiplying and Dividing
19)
฀
2x 16
20)
฀
15 3t
21)
฀
k
2
6
22)
฀
3h 27
23)
฀
j
3
4
24)
฀
6 p 30
25)
฀
n
10
40
26)
฀
h
4
15
27)
฀
9s 81
28)
฀
14 2c
29)
฀
26 13d
30)
฀
6
m
3
31)
฀
7
p
5
32)
฀
4w 16
33)
฀
f
3
9
34)
฀
20 4 x
35)
฀
3z 36
36)
฀
10
j
6
Name ___ANSWER KEY_____________ Period ______ Date ____________________
Solving One-Step Equations 1
You must show your work to get credit!! Check your answer.
Adding and Subtracting
1)
฀
y 6 20
2)
฀
x 10 12
3)
฀
12 z 15
14 22 3
4)
฀
2 n 16
5)
฀
a 4 14
6)
฀
m 5 10
14 10 -5
7)
฀
4 b 30
8)
฀
10 c 25
9)
฀
x 60 20
26 15 80
10)
฀
g 16 4
11)
฀
x 15 20
12)
฀
w 14 10
20 -5 -4
13)
฀
r 18 27
14)
฀
13 k 25
15)
฀
f 16 34
45 12 50
16)
฀
j 17 19
17)
฀
r 16 5
18)
฀
9 t 56
2 21 47
Multiplying and Dividing
19)
฀
2x 16
20)
฀
15 3t
21)
฀
k
2
6
8 5 12
22)
฀
3h 27
23)
฀
j
3
4
24)
฀
6 p 30
9 12 5
25)
฀
n
10
40
26)
฀
h
4
15
27)
฀
9s 81
400 60 9
28)
฀
14 2c
29)
฀
26 13d
30)
฀
6
m
3
7 2 18
31)
฀
7
p
5
32)
฀
4w 16
33)
฀
f
3
9
35 4 27
34)
฀
20 4 x
35)
฀
3z 36
36)
฀
10
j
6
5 12 60
6.3.6 ~ Solve 2-step equations
Example: 4x + 7 = 31
Step 1. Undo the addition or subtraction
by doing the inverse operation.
☻ Remember ~ what you do to one side of
the equal sign, you must do to the other!
4x + 7 = 31
- 7 - 7
4x = 24
Step 2. Undo the multiplication or division
by doing the inverse operation.
☻ Remember ~ what you do to one side of
the equal sign, you must do to the other!
4x
= 24
4 4
x = 6
Name __________________________________ Date ________________
6.3.6 Two-step Equation Worksheet
Directions: solve each equation. Use mental math to check the solution.
1. 7m + 8 = 71
2. y
+ 6 = 11
7
3. 12x + 2 = 146
4. m – 17 = 21
9
5. 2a – 1 = 19
6. c – 8 = 17
9
7. 4f + 11 = 29
8. 13n – 9 = 17
9. e – 14 = 8
5
10. 4w – 26 = 82
11. 3n – 8 = 4
12. 2n – 3 = 9
13. n – 4 = 11
5
14. z + 1 = 9
2
15. 2y + 16 = 10
16. 3n + 2 = 12
17. 4n – 8 = 5
18. n + 5 = 15
2
19. 5v – 42 = 73
20. 3d ̶ 13 = 11
1. Charlotte reads for 30 minutes each day. Let
t
represent the total number of minutes she
reads, and
d
represent the number of days. Determine the dependent and independent
variables, write an equation to represent this relationship, and then complete the table to
show Charlotte’s reading for 1 week.
Dependent variable: _____________________________________________________
Independent variable: ___________________________________________________
Equation: ___________________________________
2. Juan is shopping for school supplies. He bought a pencil case for $5.00, but now he needs
pencils to go inside it. Each box of pencils is $3.00. Let
t
represent the total cost, and
b
represent each box of pencils. Determine the dependent and independent variables,
write an equation to represent this relationship, and then complete the table to show the
total cost with 1 to 5 boxes of pencils.
Dependent variable: _____________________________________________________
Independent variable: ___________________________________________________
Equation: ___________________________________
Name: _________________________________________________
Super Teacher Worksheets -
www.superteacherworksheets.com
Independent and Dependent Variables
Writing Equations and Creating Tables
Directions: Identify the dependent and independent variables for each scenario. Write an
equation to represent the relationship between variables. Finally, complete a table showing
the constant relationship.
d
1
2
3
4
5
6
7
30
30
d
or
t
Total Mins.
Read
Number of
Days
b
3
b
+ 5 or
t
Total Cost
Number of
Boxes of Pencils
3. Monica goes for a 60 minute bike ride each day in the summer. Let
d
represent the
number of days Monica rides her bike, and
m
represent the total number of minutes she
spends riding her bike. Determine the dependent and independent variables, write an
equation to represent this relationship, and then complete the table to show how many
minutes Monica would ride her bike over the course of 1 week.
Dependent variable: _____________________________________________________
Independent variable: ___________________________________________________
Equation: ___________________________________
4. A rideshare service charges a at fee of $6.00, plus $1.50 for every mile driven. Let
t
represent the total cost of the ride, and
m
represent the number of miles driven.
Determine the dependent and independent variables, write an equation to represent this
relationship, and then complete the table to show the total cost for riding 3 to 10 miles.
Dependent variable: _____________________________________________________
Independent variable: ___________________________________________________
Equation: ___________________________________
Super Teacher Worksheets -
www.superteacherworksheets.com
Independent and Dependent Variables
Writing Equations and Creating Tables
Dependent variable: ________________________________________
Independent variable: ____________________________________
Equation: _______________________________________
Dependent variable: ________________________________________
Independent variable: ____________________________________
Equation: _______________________________________
ANSWER KEY
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Dependent variable: ________________________________________
Independent variable: ____________________________________
Equation: _______________________________________
Dependent variable: ________________________________________
Independent variable: ____________________________________
Equation: _______________________________________
total cost
(
t
)
total minutes read
(
t
)
total mins. riding bike
(
m
)
total cost
(
t
)
number of days
(
d
)
number of days
(
d
)
number of miles
(
m
)
number of
boxes of pencils
(
b
)
t
= 30
d
m
= 60
d
t
= 3
b
+ 5
t
= 1.50
m
+ 6
KH
Independent and Dependent Variables
Writing Equations and Creating Tables
1.
3.
4.
2.
b
3
b
+ 5 or
t
Total Cost
Number of
Boxes of Pencils
d
1
2
3
4
5
6
7
30
60
1
2
3
4
5
8
11
14
17
20
90
120
150
180
210
30
d
or
t
Total Mins.
Read
Number of
Days
Total Mins. Total Cost
Number of
Days
Number of
Miles
d m
60
d
or
m
1.50
m
+ 6 or
t
1 60
2
3
3 10.50
4
5
6
7
8
9
10 21.0 0
19. 5 0
18.00
16.50
15.00
13.50
12.00
4
5
6
7 420
360
300
240
180
120