Solving 2 Step Equations - Solve and Match Worksheet

- Grades
- Grades 9–12
- File type
- Preparation
- Print ready
- Subject
- Math, Algebra
- Topic
- algebra, two-step equations
- Resource types
- Worksheets & Printables, Worksheets
- Preparation
- Print ready
- Standards
- HSA-REI.B.3
About this resource
What's inside this resource
In the classroom
Teaching tips & learning objectives
Learning objectives
Students solve two-step linear equations involving addition, subtraction, multiplication, and division.
Students solve equations with the variable in a denominator or as part of a fraction.
Students verify their solved value by matching it to a unique letter in a provided answer code.
Teaching tips
Have students work in the order given, since each problem's answer maps to a unique letter — an early arithmetic error will produce a letter collision they can use to self-correct.
Use the fraction/denominator problems (items 10-21) as a follow-up set after students are comfortable with the simpler two-step equations (items 1-9).
Have students show their work in the space beneath each problem so mismatched letters can be traced back to a specific step.
Skills covered
Two-step equation solving — students isolate a variable across equations combining addition/subtraction with multiplication/division.
Equations with fractional expressions — students solve for a variable appearing in a numerator or denominator of a fraction.
Self-checking via answer matching — students verify their solution by confirming it matches a unique letter in the provided code, since each letter is used only once.
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Curriculum
Standards, concepts & topics
Standards
- HSA-REI.B.3 — Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Core concepts
Two-step equations
Solving for a variable
Fractions in equations
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