Equations and Inequalities Worksheet for 6th Grade

Students solve equations and inequalities and select values that satisfy given inequalities. Supplied answers and working support checking across the practice sets.
Grades
Grade 6
Pages
19
File type
PDF
Answer key
Included

Updated Nov 15, 2022

Subject
Math
Topic
Equations, Inequalities
Answer key
Included
Standards
6.EE.B.5

Product description

From the author

This worksheet for 6th grade math has:

Solve equations

Select the right solution(s) for inequality from a given set of numbers

Solve inequalities

Answers

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Student can solve a one-step addition equation for an unknown variable.

  • Student can simplify an equation with the same variable appearing more than once before solving.

  • Student can identify which numbers from a given set satisfy a stated inequality.

Teaching tips

  • Assign the twelve numbered blocks incrementally across several class periods rather than all 168 problems at once.

  • Introduce the 'select' format (Sections 5-8) before the 'solve' format (Sections 9-12), since selecting from a candidate list is a more scaffolded entry point into inequality reasoning.

  • Use the answer key to spot-check a sample of each problem type rather than grading all 168 items by hand.

Skills covered

  • One-step equation solving — students isolate a variable in addition equations such as p + 5 = 11.

  • Equations with repeated variable terms — students combine like variable terms (e.g., z + z + 20 = z + 38) before isolating the unknown.

  • Solving and expressing one-step inequalities — students isolate the variable in an inequality and write the solution as an inequality statement (e.g., r less than 12).

Good to know

Questions teachers ask about this resource

Are all problems one-step equations?

No. The collection also includes inequalities and equations with variables on both sides.

Are answers included?

Seven answer pages accompany the twelve task pages.

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Curriculum

Standards, concepts & topics

Standards

  • 6.EE.B.5 — Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

Core concepts

  • One-step equations

  • Inequalities

  • Algebraic reasoning

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