Equations and Inequalities Worksheet Set

One-step equation and inequality problems aligned to 6.EE.B.5 come with a fully worked answer key for all 168 items.

Year groups: Lower Secondary, Year 7
File type: PDF
Preparation: Print ready

Updated Nov 15, 2022

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

From the author

About this resource

One-hundred-sixty-eight one-step equation and inequality problems give students repeated practice solving for an unknown, moving from simple addition equations (e.g., p + 5 = 11) through equations with a repeated variable on both sides (e.g., z + z + 20 = z + 38), then into inequalities where students select which numbers from a given list satisfy a stated inequality (e.g., which values make y greater than 2 true), and finally into inequalities students solve and express symbolically (e.g., r + 27 less than 39 becomes r less than 12). A worked answer key at the end lists the numeric solution or solution set for every one of the 168 items. The worksheet is explicitly aligned to standard 6.EE.B.5 and organized into twelve numbered practice blocks so a teacher can assign a subset per class period. Students ready to move beyond one-step problems can practice equations with one, none, or infinite solutions, which extends the same variable-isolation skills to multi-step linear equations classified by their solution type.

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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Resource details

Concepts & topics

Core concepts

One-step equations
Inequalities
Algebraic reasoning

Topics

Equations Inequalities Solving Equations Year 7 Maths Equation and Inequalities Worksheet 6 Ee 5 Worksheet Worksheet Year 7

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Categories this resource belongs to

Algebra Worksheets Worksheets & Printables Year 7 Lower Secondary

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