Solving compound inequalities worksheet answer key algebra 1

This 22- question worksheet, provides students with practice graphing, writing, and solving compound inequalities.

Check out some other products to teach or practice this skill:

  • Compound Inequalities (Foldable)
  • Compound Inequalities (Mini Puzzle)
  • Multi- Step & Compound Inequalities (Puzzle)

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★ Algebra 1 Practice Worksheets Bundle

★ Algebra 1 Activities Bundle

You may be interested in some of my other algebra 1 resources:

★ Algebra 1 (+ Pre-Algebra) Foldable Bundle

★ Algebra 1 Semester 1 Google Form Bundle

★ Algebra 1 Semester 2 Google Form Bundle

★ Algebra 1 Puzzle Bundle

★ Algebra 1 Task Cards Bundle

★ Algebra 1 Scavenger Hunt Bundle

★ Algebra 1 BOOM Cards Bundle


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Our printable compound inequalities worksheets help grade 8 and high school students make headway through solving and graphing inequalities that are joined together by the words "and" or "or". Compound inequalities with "and" indicate an overlap or intersection and suggest both conditions must be true, while those with "or" indicate a union and suggest either of the conditions is true. Classified into three difficulty levels based on the number of steps that go into solving these compound inequalities, these pdfs perfectly fit around. Don't miss the learning experience awaiting you in our free compound inequalities worksheets.

Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Graphing Compound Inequalities

Grade 8 students ponder over the compound inequality, plot the relative values, identify the conjunction that combines the inequality, and interpret the inequality on the number line as a segment or two rays pointing in the opposite directions.

  • Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Solving Compound Inequalities

Transform each compound inequality into two linear inequalities and solve them independently by isolating the variable. Combine the solution sets for a compound inequality with "or". The solution set is the intersection of the individual solution sets for an "and" inequality.

One-Step

Two-Step

Multi-Step

  • Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Solving and Graphing Compound Inequalities

Further your high school students skills with these compound inequalities worksheets pdf as they solve the inequalities in 1, 2 or more steps, plot them on the number line, and determine the solution based on the type of conjunction specified.

One-Step

Two-Step

Multi-Step

  • Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Identifying Solutions to Compound Inequalities

Decompose each compound inequality in these printable worksheets into two linear inequalities. Direct 8th grade students to solve them individually in one, two, or multi-steps and select the option that best describes the solution.

One-Step

Two-Step

Multi-Step

  • Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Identifying Graphical Solutions

Get to the grips with solving compound inequalities with a string of worksheets that get high school students solving the inequalities and choosing the graph that best describes the solution for the compound inequality.

One-Step

Two-Step

Multi-Step

  • Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Solving compound inequalities worksheet answer key algebra 1

Choosing Correct Interval Notation

Is it an inclusive or strict inequality? Is it a union or intersection inequality? Is it bounded or unbounded? Look for a relevant interval with the appropriate symbols denoting the solution in these printable compound inequalities worksheets.

One-Step

Two-Step

Multi-Step

  • Solving compound inequalities worksheet answer key algebra 1