Touchstone Standards

Grade 6 Georgia math worksheets

6th Grade Inequalities Worksheets: Solutions and Graphs on a Number Line

Test values, write inequalities from situations, and graph the solutions with open and closed circles.

What students practice

Students read and write the four forms of inequality, test whether a value is a solution, and select every value in a set that works. A page on many solutions shows why an inequality has infinitely many. Then they choose open or closed circles and arrow directions, graph inequalities, read graphs back, and match graphs in a code before writing and graphing inequalities from situations.

What's inside

  1. p. 3

    Read and Write the Symbols

    Write an inequality for each sentence, then answer the last two questions.

  2. p. 4

    Is It a Solution?

    Decide whether each value is a solution, then answer the last question.

  3. p. 5

    Which Values Work?

    Select all the values that make each inequality true.

  4. p. 6

    Many Solutions

    Give solutions for each inequality, then answer the last questions.

  5. p. 7

    Open or Closed?

    Choose the circle and the arrow direction for the graph of each inequality.

  6. p. 8

    Graph an Inequality

    Graph each inequality on its number line.

  7. p. 9

    Read the Graph

    Write the inequality each graph shows, using the letter given.

  8. p. 10

    Graph Code

    Match each graph to an inequality in the bank, then write its letter.

  9. p. 11

    Inequalities From Situations

    Write an inequality for each situation, using the letter given.

  10. p. 12

    Write and Graph

    Write an inequality for each situation, then graph it.

  11. p. 13

    Check a Value in a Story

    Write an inequality for each situation, then decide whether the value is a solution.

  12. p. 14

    Solve each problem, then check your work.

Georgia standards covered

6.PAR.7.1

Solve one-step equations and inequalities involving variables when values for the variables are given. Determine whether an equation and inequality involving a variable is true or false for a given value of the variable.

In this packet: pages 4, 5, 13, and 14. 6.PAR.7.1 practice in all our packets

6.PAR.7.2

Write one-step equations and inequalities to represent and solve problems; explain that a variable can represent an unknown number or any number in a specified set.

In this packet: pages 6 and 11 to 14. 6.PAR.7.2 practice in all our packets

6.PAR.7.4

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.

In this packet: pages 3, 6 to 12, and 14. 6.PAR.7.4 practice in all our packets

Who it's for

Grade 6 classes right after one-step equations. Boundaries are positive throughout, and less-than graphs start above 0, so no arrow runs into negative numbers before Georgia's integers unit.

See the format first, free. Our free Grade 3 sample, Break-Apart Star Facts, shows the same page layout and answer key style.

More Grade 6 packets

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