Free · Grade 6 to Grade 8 · Answer keys
Equations and inequalities worksheets
Equation worksheets for Grades 6 to 8: one-step equations with addition, subtraction, multiplication and division, two-step equations, multi-step equations with brackets and variables on both sides, and one- and two-step inequalities. Every answer is a whole number or an integer, and the answer key is on the last page.
Make a worksheet in seconds →Grade 6
- One-step equations with addition and subtraction
20 one-step equations with addition and subtraction for Grade 6, with an answer key. Free printable PDF.
- One-step equations with multiplication and division
20 one-step equations with multiplication and division for Grade 6, with an answer key. Free printable PDF.
- One-step equations, mixed
20 one-step equations, mixed for Grade 6, with an answer key. Free printable PDF.
- Writing and graphing inequalities
Write an inequality for a situation, and draw solutions on a number line. With an answer key.
Grade 7
- One-step equations with integers
20 one-step equations with integers for Grade 7, with an answer key. Free printable PDF.
- Two-step equations
16 two-step equations for Grade 7, with an answer key. Free printable PDF.
- Two-step equations with integers
16 two-step equations with integers for Grade 7, with an answer key. Free printable PDF.
- One-step inequalities
20 one-step inequalities for Grade 7, with an answer key. Free printable PDF.
- Inequalities: multiplying or dividing by a negative
20 inequalities: multiplying or dividing by a negative for Grade 7, with an answer key. Free printable PDF.
- Two-step inequalities
16 two-step inequalities for Grade 7, with an answer key. Free printable PDF.
- Equation word problems
10 word problems to write and solve as two-step and multi-step equations, with an answer key.
Grade 8
- Multi-step equations
14 multi-step equations for Grade 8, with an answer key. Free printable PDF.
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
- 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.
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