Find the Value of Variable in an Algebraic Equation

Name Grade School
Date Questions20 Score

1
2 = 10+5m
2
5x-9 = 10
3
x+2 = 9
4
5x+9 = 5
5
5a+5 = 30
6
3 = 8+10n
7
7 = 8-6b
8
5a6= 3
9
p+6 = 2
10
4s = 4
11
5 = 5+3x
12
10 = 9+5x
13
3 = 2+2x
14
a+3 = 2
15
6m5= 8
16
x+4 = 6
17
x3= 6
18
6x3= 8
19
a6= 5
20
2x7= 7

Answers Key
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1
2 = 10+5m
= m = -1.6
Solution
2 = 10+5m
10+5m = 2
5m = 2-10
5m = -8
m = -85
m = -1.6
2
5x-9 = 10
= x = 3.8
Solution
5x-9 = 10
5x = 10+9
5x = 19
x = 195
x = 3.8
3
x+2 = 9
= x = 7
Solution
x+2 = 9
x = 9-2
x = 7
4
5x+9 = 5
= x = -0.8
Solution
5x+9 = 5
5x = 5-9
5x = -4
x = -45
x = -0.8
5
5a+5 = 30
= a = 5
Solution
5a+5 = 30
5a = 30-5
5a = 25
a = 255
a = 5
6
3 = 8+10n
= n = -0.5
Solution
3 = 8+10n
8+10n = 3
10n = 3-8
10n = -5
n = -510
n = -12
n = -0.5
7
7 = 8-6b
= b = 0.17
Solution
7 = 8-6b
8-6b = 7
-6b = 7-8
-6b = -1
b = 16
b = 0.17
8
5a6= 3
= a = 3.6
Solution
5a6= 3
5a = 3x6
5a = 18
a = 185
a = 3.6
9
p+6 = 2
= p = -4
Solution
p+6 = 2
p = 2-6
p = -4
10
4s = 4
= s = 1
Solution
4s = 4
s = 44
s = 1
11
5 = 5+3x
= x = 0
Solution
5 = 5+3x
5+3x = 5
3x = 5-5
3x = 0
x = 0
12
10 = 9+5x
= x = 0.2
Solution
10 = 9+5x
9+5x = 10
5x = 10-9
5x = 1
x = 15
x = 0.2
13
3 = 2+2x
= x = 0.5
Solution
3 = 2+2x
2+2x = 3
2x = 3-2
2x = 1
x = 12
x = 0.5
14
a+3 = 2
= a = -1
Solution
a+3 = 2
a = 2-3
a = -1
15
6m5= 8
= m = 6.67
Solution
6m5= 8
6m = 8x5
6m = 40
m = 406
m = 203
m = 6.67
16
x+4 = 6
= x = 2
Solution
x+4 = 6
x = 6-4
x = 2
17
x3= 6
= x = 18
Solution
x3= 6
x = 6x3
x = 18
18
6x3= 8
= x = 4
Solution
6x3= 8
6x = 8x3
6x = 24
x = 246
x = 4
19
a6= 5
= a = 30
Solution
a6= 5
a = 5x6
a = 30
20
2x7= 7
= x = 24.5
Solution
2x7= 7
2x = 7x7
2x = 49
x = 492
x = 24.5

Solving Simple Algebraic Expressions Worksheet

Solve the simple algebraic equations worksheet with answers for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 algebra worksheet to practice solving the following algebraic expressions to find the value of x or any variable in the equation.

How to Use this Worksheet

In this sixth grade algebra worksheet, students are required to find the unknown variable in an algebraic equation. Rearrange the equation based on the arithmetic operations and properties to solve the simple algebraic equations to find the unknown variable in the expression.

Answers Key

Teachers, tutors, parents or students can check or validate the solved questions by using the corresponding answers key which comprises the step by step work on how to solve algebraic equations to find the unknown variable.

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