Linear Equation

One Variable, Three Terms (Level 1)

This math topic focuses on solving linear equations with one variable that contain three terms. It is an introductory level part of a broader unit on basic algebra concepts. Students are given various problems where they must apply arithmetic and algebraic manipulation to isolate and find the value of the variable. Each question includes multiple-choice answers, challenging students to solve equations and verify the correct result amongst the given options.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Linear Equation - One Variable, Three Terms Worksheet

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Linear Equation - One Variable, Three Terms
1
Solve for the variable in the equation
A LaTex expression showing 6z + 5 = 53
a A LaTex expression showing z = 9
b A LaTex expression showing z = 10
c A LaTex expression showing z = 8
d A LaTex expression showing z = 11
e A LaTex expression showing z = 7
f A LaTex expression showing z = 6
2
Solve for the variable in the equation
A LaTex expression showing 6m + 5 = 41
a A LaTex expression showing m = 6
b A LaTex expression showing m = 5
c A LaTex expression showing m = 9
d A LaTex expression showing m = 8
e A LaTex expression showing m = 7
f A LaTex expression showing m = 4
3
Solve for the variable in the equation
A LaTex expression showing n - 4 = 6 - 7
a A LaTex expression showing n = 2
b A LaTex expression showing n = 6
c A LaTex expression showing n = 1
d A LaTex expression showing n = 3
e A LaTex expression showing n = 4
f A LaTex expression showing n = 5
4
Solve for the variable in the equation
A LaTex expression showing p + 2 = 14 - 3
a A LaTex expression showing p = 11
b A LaTex expression showing p = 7
c A LaTex expression showing p = 10
d A LaTex expression showing p = 12
e A LaTex expression showing p = 9
f A LaTex expression showing p = 8
5
Solve for the variable in the equation
A LaTex expression showing z + 8 = 21 - 4
a A LaTex expression showing z = 11
b A LaTex expression showing z = 12
c A LaTex expression showing z = 8
d A LaTex expression showing z = 10
e A LaTex expression showing z = 9
f A LaTex expression showing z = 7
6
Solve for the variable in the equation
A LaTex expression showing z - 5 = 13 - 9
a A LaTex expression showing z = 11
b A LaTex expression showing z = 7
c A LaTex expression showing z = 12
d A LaTex expression showing z = 9
e A LaTex expression showing z = 8
f A LaTex expression showing z = 10
7
Solve for the variable in the equation
A LaTex expression showing 7r - 5 = 30
a A LaTex expression showing r = 4
b A LaTex expression showing r = 8
c A LaTex expression showing r = 5
d A LaTex expression showing r = 3
e A LaTex expression showing r = 6
f A LaTex expression showing r = 7
8
Solve for the variable in the equation
A LaTex expression showing p - 5 = 3 - 3
a A LaTex expression showing p = 5
b A LaTex expression showing p = 8
c A LaTex expression showing p = 6
d A LaTex expression showing p = 4
e A LaTex expression showing p = 7
f A LaTex expression showing p = 3