Touchstone Standards

Georgia Grade 6 math, Patterning & Algebraic Reasoning

6.PAR.7.4 worksheets: write and graph inequalities on a number line

The standard

Recognize and generate inequalities of the form x > c, x ≥ c, x < c, or x ≤ c to explain situations that have infinitely many solutions; represent solutions of such inequalities on a number line.

Element 6.PAR.7.4 of Georgia's K-12 Mathematics Standards (2021, effective SY2023-24), in the Patterning & Algebraic Reasoning strand. It sits under standard 6.PAR.7: Write and solve one-step equations and inequalities as mathematical models to explain authentic, realistic situations.

What students practice

Students write the four forms from sentences, see why an inequality has infinitely many solutions, choose open or closed circles and arrow directions, graph inequalities, read graphs back as inequalities, and write and graph inequalities from situations. Boundaries are positive.

Where to find it

  • p. 3Read and Write the Symbols. Write an inequality for each sentence, then answer the last two questions.
  • p. 6Many Solutions. Give solutions for each inequality, then answer the last questions.
  • p. 7Open or Closed?. Choose the circle and the arrow direction for the graph of each inequality.
  • p. 8Graph an Inequality. Graph each inequality on its number line.
  • p. 9Read the Graph. Write the inequality each graph shows, using the letter given.
  • p. 10Graph Code. Match each graph to an inequality in the bank, then write its letter.
  • p. 11Inequalities From Situations. Write an inequality for each situation, using the letter given.
  • p. 12Write and Graph. Write an inequality for each situation, then graph it.
  • p. 14Mixed Review. Solve each problem, then check your work.

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