One Variable, Four Terms (Level 2)

This math topic focuses on solving linear equations with one variable and four terms. The problems cover a range of equation structures, requiring the manipulation of algebraic fractions and expressions to isolate and solve for the variable. These advanced algebra concepts help deepen the understanding of equation-solving techniques. Each problem offers multiple potential answers in a multiple-choice format, challenging the students' ability to calculate and verify the correct solution.

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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Math worksheet on 'Linear Equation - One Variable, Four Terms (Level 2)'. Part of a broader unit on 'Algebra Manipulating Variables - Intro' Learn online: app.mobius.academy/math/units/algebra_manipulating_variables_intro/
1
Solve for the variable in the equation
A LaTex expression showing 125 over 7y - 3 = 5
a A LaTex expression showing y = 3
b A LaTex expression showing y = 4
c A LaTex expression showing y = 6
d A LaTex expression showing y = 5
e A LaTex expression showing y = 2
f A LaTex expression showing y = 7
2
Solve for the variable in the equation
A LaTex expression showing 60 over 4m + 8 = 3
a A LaTex expression showing m = 4
b A LaTex expression showing m = 5
c A LaTex expression showing m = 1
d A LaTex expression showing m = 2
e A LaTex expression showing m = 3
f A LaTex expression showing m = 6
3
Solve for the variable in the equation
A LaTex expression showing 78 over 8z - 9 = 2
a A LaTex expression showing z = 6
b A LaTex expression showing z = 5
c A LaTex expression showing z = 9
d A LaTex expression showing z = 7
e A LaTex expression showing z = 4
f A LaTex expression showing z = 8
4
Solve for the variable in the equation
A LaTex expression showing 140 over 3m + 7 = 5
a A LaTex expression showing m = 8
b A LaTex expression showing m = 9
c A LaTex expression showing m = 5
d A LaTex expression showing m = 7
e A LaTex expression showing m = 10
f A LaTex expression showing m = 6
5
Solve for the variable in the equation
A LaTex expression showing 105 over 8r - 3 = 5
a A LaTex expression showing r = 3
b A LaTex expression showing r = 1
c A LaTex expression showing r = 6
d A LaTex expression showing r = 2
e A LaTex expression showing r = 4
f A LaTex expression showing r = 5
6
Solve for the variable in the equation
A LaTex expression showing 60 over 3m + 3 = 4
a A LaTex expression showing m = 4
b A LaTex expression showing m = 7
c A LaTex expression showing m = 2
d A LaTex expression showing m = 6
e A LaTex expression showing m = 5
f A LaTex expression showing m = 3
7
Solve for the variable in the equation
A LaTex expression showing 45 over 4c - 7 = 5
a A LaTex expression showing c = 5
b A LaTex expression showing c = 6
c A LaTex expression showing c = 7
d A LaTex expression showing c = 3
e A LaTex expression showing c = 4
f A LaTex expression showing c = 2