Solve for x: 2x - 1 = -35
Show algebraic work: __________________________________
CCSS 7.EE.B.4a · px + q = r and p(x + q) = r
Two-Step Equations Worksheet Generator
Generate equations directly from the two forms named in 7.EE.B.4a. Solutions are constructed first and the equation is built around them, so rational coefficients remain exact and every answer can be verified by substitution.
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Solve Two-Step Equations
Solve two-step equations · Grade 7 standard · Seed 271801
1.
2.
Solve for x: 4x - 4 = 24
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3.
Solve for x: 1/2x - 5/2 = -21/4
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4.
Solve for x: 2(x - 12) = -6
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5.
Solve for x: 6x - 7/2 = -43/2
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6.
Solve for x: -1/2x - 3 = -17/2
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7.
Solve for x: -4x + 1 = 17
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8.
Solve for x: -4x + 8 = -38
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9.
Solve for x: 2x + 2 = 46
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10.
Solve for x: -6x + 7 = -62
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Construction rule: equations are built around known exact solutions, expression rewrites use exact rational arithmetic, 7.EE.3 money stays in integer cents, and inequality answer graphs are withheld until answers are revealed.
Teaching note 1
For px + q = r, undo q before dividing by p.
Teaching note 2
For p(x + q) = r, divide by p first, then undo q inside the parentheses.
Teaching note 3
Check the solution by substitution into the original equation, not only into an intermediate line.
Continue the 7.EE progression
Move to another Grade 7 algebra skill
Frequently asked questions
Do equations include fractions?
Yes. Standard and challenge modes can include rational coefficients and rational solutions.
Are variables on both sides included?
No. This route stays with the equation forms named in Grade 7 standard 7.EE.B.4a rather than drifting into later algebra.