Inequalities: multiplying or dividing by a negative
This Grade 7 worksheet practices inequalities: multiplying or dividing by a negative (Common Core 7.EE.B.4b).
20 inequalities: multiplying or dividing by a negative for Grade 7, with an answer key. Free printable PDF.
20 problems · answer key on the last page · each version has different numbers · Print from the browser
Need a different skill or more questions? Make your own worksheet
On this sheet
- x − 3 < 1 — answer: x < 4
- 9x ≤ −18 — answer: x ≤ −2
- −3n < −21 — answer: n > 7
How to teach it
- Undo what was done to the variable, in reverse order: first undo adding or subtracting, then multiplying or dividing.
- Whatever you do to one side, do to the other, so the equation stays balanced.
- With brackets, expand first; with the variable on both sides, gather it on one side.
- With an inequality, multiplying or dividing both sides by a negative number reverses the sign.
- Check by putting the answer back into the original equation.
Questions teachers ask
- How many problems are on this worksheet?
- 20 on one page, with the answer key on the last page.
- What grade and standard is it for?
- Grade 7. Common Core: 7.EE.B.4b.
- Can I print more than one version?
- Yes. Every version has different numbers and its own answer key. Use “Make another version” for a new one; the same version always prints the same.
- What grade learns one-step and two-step equations?
- In the Common Core, one-step equations are Grade 6 (6.EE.B.7), two-step equations and inequalities are Grade 7 (7.EE.B.4), and multi-step equations with the variable on both sides are Grade 8 (8.EE.C.7).
- What is the difference between an equation and an inequality?
- An equation says two amounts are equal and usually has one solution. An inequality says one is greater or less than the other, and has a whole range of solutions.
Need a different skill?
Make your own worksheet for any K–8 skill in seconds, with its answer key.