Grade 7 Math · Topic guide
Expressions & Equations — Grade 7 Math
Given a linear expression in one variable with two to six terms and rational coefficients, add or subtract the coefficients of like terms and write an equivalent simplified expression. Given a linear expression of the form a(bx + c) with rational a, b, and c, distribute a to both terms and write an equivalent expanded expression. Generate equivalent expressions.
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What you’ll learn
- Given a linear expression in one variable with two to six terms and rational coefficients, add or subtract the coefficients of like terms and write an equivalent simplified expression.
- Given a linear expression of the form a(bx + c) with rational a, b, and c, distribute a to both terms and write an equivalent expanded expression.
- Generate equivalent expressions.
- Factor linear expressions.
Explore the skills
Choose an idea below to read a worked example and try one question.
- Combine like termsGiven a linear expression in one variable with two to six terms and rational coefficients, add or subtract the coefficients of like terms and write an equivalent simplified expression.
- Expand expressionsGiven a linear expression of the form a(bx + c) with rational a, b, and c, distribute a to both terms and write an equivalent expanded expression.
- Generate equivalent expressionsGenerate equivalent expressions.
- Factor linear expressionsFactor linear expressions.
- Graph inequality solutionsRepresent this inequality on a number line. Enter an inequality or boundary; OPEN/CLOSED; LEFT/RIGHT.
- Model constraints using inequalitiesModel constraints using inequalities.
- Solve multi-step numerical problemsSolve multi-step numerical problems.
- Rewrite expressions to reveal meaningRewrite expressions to reveal meaning.
- Solve one- and two-step inequalitiesSolve. Enter an exact answer or an equivalent intermediate statement.
- Solve two-step equationsGiven an equation of the form px + q = r or p(x + q) = r with specified rational coefficients and a unique solution, solve fluently by reversing the operation sequence and verify the solution by substitution.
- Solve two-step equations with rational coefficientsSolve. Enter an exact answer or an equivalent intermediate statement.
- Create and solve equations from word problemsCreate and solve equations from word problems.