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Equations and Inequalities Worksheet for 6th Grade

One-step equation and inequality problems aligned to 6.EE.B.5 come with a fully worked answer key for all 168 items.
Grades
Grade 6, Middle School
File type
PDF
Preparation
Print ready

Updated Nov 15, 2022

Subject
Algebra
Topic
Equations, Inequalities
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready

About this resource

What's inside this resource

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.

  • Student can solve a one-step inequality and express the solution as an inequality statement.

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 lower-scaffold 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.

  • Inequality solution-set selection — students test a list of candidate numbers against a stated inequality (e.g., y greater than 2) and identify which satisfy it.

  • 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

How do the 'select' problems differ from the 'solve' problems later in the worksheet?

In the 'select' sections, students are given a finite list of candidate numbers next to each inequality and must identify which values from that list satisfy it, rather than solving the inequality algebraically as required in the later 'solve inequalities' sections.

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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.
  • 6.EE.B.7 — Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers
  • 6.EE.B.8 — Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

Core concepts

  • one-step equations

  • inequalities

  • algebraic reasoning

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