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.

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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 60 over 3m + 3 = 4
a A LaTex expression showing m = 3
b A LaTex expression showing m = 5
c A LaTex expression showing m = 4
d A LaTex expression showing m = 7
e A LaTex expression showing m = 2
f A LaTex expression showing m = 6
2
Solve for the variable in the equation
A LaTex expression showing 58 over 8x + 5 = 2
a A LaTex expression showing x = 1
b A LaTex expression showing x = 5
c A LaTex expression showing x = 6
d A LaTex expression showing x = 3
e A LaTex expression showing x = 2
f A LaTex expression showing x = 4
3
Solve for the variable in the equation
A LaTex expression showing 136 over 8r + 4 = 2
a A LaTex expression showing r = 8
b A LaTex expression showing r = 9
c A LaTex expression showing r = 7
d A LaTex expression showing r = 10
e A LaTex expression showing r = 11
f A LaTex expression showing r = 6
4
Solve for the variable in the equation
A LaTex expression showing 45 over 4c - 7 = 5
a A LaTex expression showing c = 3
b A LaTex expression showing c = 2
c A LaTex expression showing c = 5
d A LaTex expression showing c = 6
e A LaTex expression showing c = 4
f A LaTex expression showing c = 7
5
Solve for the variable in the equation
A LaTex expression showing -15 over 2y - 7 = 5
a A LaTex expression showing y = 1
b A LaTex expression showing y = 3
c A LaTex expression showing y = 0
d A LaTex expression showing y = 4
e A LaTex expression showing y = 2
f A LaTex expression showing y = 5
6
Solve for the variable in the equation
A LaTex expression showing 9p + 3 over 2p = 5
a A LaTex expression showing p = 3
b A LaTex expression showing p = 6
c A LaTex expression showing p = 4
d A LaTex expression showing p = 2
e A LaTex expression showing p = 5
f A LaTex expression showing p = 1
7
Solve for the variable in the equation
A LaTex expression showing 138 over 2y + 7 = 6
a A LaTex expression showing y = 11
b A LaTex expression showing y = 8
c A LaTex expression showing y = 7
d A LaTex expression showing y = 10
e A LaTex expression showing y = 6
f A LaTex expression showing y = 9
8
Solve for the variable in the equation
A LaTex expression showing 78 over 3m + 8 = 3
a A LaTex expression showing m = 5
b A LaTex expression showing m = 9
c A LaTex expression showing m = 8
d A LaTex expression showing m = 6
e A LaTex expression showing m = 7
f A LaTex expression showing m = 4