One-Step Inequalities With Rational Numbers

Begin with the one-step sheets and When to Flip the Inequality Sign before the two-step sheets. Have students check a solution by substituting a value from the shaded part of the graph.

Solve and graph one-step inequalities with decimals and fractions, reading tick marks on number lines. The directions on the page read: Solve each inequality, write the solution, and graph it. Use an open circle for < or > and a closed circle for ≤ or ≥. Count the tick marks between whole numbers to see what each tick is worth. An answer key is included.

Yes, both. We made it for 7th grade algebra, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

Flip it when you multiply or divide both sides by a negative number. For −3x > 15, dividing by −3 gives x < −5. When to Flip the Inequality Sign has students check each solved step as right or wrong.

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the side that makes the inequality true. The graphing sheets here print a number line under each problem. Two-Step Inequalities With Integers practices this.

Substitute the number for the variable and see if the statement is true. A problem can have more than one solution. Test Solutions to One-Step Inequalities has students circle every value that works.

Look for limits such as at most, at least or less than. Noor can spend at most $42 on $6 notebooks gives 6n ≤ 42. Write and Solve One-Step Inequalities in Context also asks students to write what the answer means in a sentence.