One Variable, Four Terms (Level 1)

This math topic focuses on solving linear equations involving one variable with four terms. It is designed to help students practice basic algebra concepts by resolving equations to find the value of the variable. Each problem presents an equation and multiple choices for possible values of the variable, challenging students to accurately perform algebraic manipulations to isolate and solve for the variable. The problems provide good practice in handling operations on both sides of the equation and applying inverse operations to simplify and solve the equations.

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

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Linear Equation - One Variable, Four Terms Worksheet

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Linear Equation - One Variable, Four Terms
1
Solve for the variable in the equation
A LaTex expression showing 7y - 9 = 15 + 3y
a A LaTex expression showing y = 5
b A LaTex expression showing y = 9
c A LaTex expression showing y = 8
d A LaTex expression showing y = 4
e A LaTex expression showing y = 7
f A LaTex expression showing y = 6
2
Solve for the variable in the equation
A LaTex expression showing 9x - 2 = 33 + 2x
a A LaTex expression showing x = 3
b A LaTex expression showing x = 8
c A LaTex expression showing x = 4
d A LaTex expression showing x = 6
e A LaTex expression showing x = 5
f A LaTex expression showing x = 7
3
Solve for the variable in the equation
A LaTex expression showing 4d + 6 = 27 - 3d
a A LaTex expression showing d = 2
b A LaTex expression showing d = 6
c A LaTex expression showing d = 1
d A LaTex expression showing d = 4
e A LaTex expression showing d = 3
f A LaTex expression showing d = 5
4
Solve for the variable in the equation
A LaTex expression showing 3b + 6 = 69 - 4b
a A LaTex expression showing b = 9
b A LaTex expression showing b = 7
c A LaTex expression showing b = 10
d A LaTex expression showing b = 11
e A LaTex expression showing b = 12
f A LaTex expression showing b = 8
5
Solve for the variable in the equation
A LaTex expression showing 9c - 6 = 82 - 2c
a A LaTex expression showing c = 11
b A LaTex expression showing c = 9
c A LaTex expression showing c = 8
d A LaTex expression showing c = 7
e A LaTex expression showing c = 10
f A LaTex expression showing c = 6
6
Solve for the variable in the equation
A LaTex expression showing 8z + 3 = 107 - 5z
a A LaTex expression showing z = 8
b A LaTex expression showing z = 7
c A LaTex expression showing z = 6
d A LaTex expression showing z = 10
e A LaTex expression showing z = 11
f A LaTex expression showing z = 9
7
Solve for the variable in the equation
A LaTex expression showing 2r + 9 = 19 - 3r
a A LaTex expression showing r = 5
b A LaTex expression showing r = 3
c A LaTex expression showing r = 2
d A LaTex expression showing r = 1
e A LaTex expression showing r = 4
f A LaTex expression showing r = 0
8
Solve for the variable in the equation
A LaTex expression showing 3p - 2 = 33 - 2p
a A LaTex expression showing p = 9
b A LaTex expression showing p = 8
c A LaTex expression showing p = 5
d A LaTex expression showing p = 6
e A LaTex expression showing p = 10
f A LaTex expression showing p = 7