Worked Example 1
Undoing Multiplication
Solve −4x = 28.
- 1Divide both sides by −4: x = 28 ÷ (−4)
- 228 ÷ (−4) = −7
Answer: x = −7
Florida Grade 6 Math · Algebraic Reasoning
MA.6.AR.2.3: One-Step Equations: Multiplication and Division
What this Grade 6 benchmark means, worked examples, common mistakes, and a free printable worksheet.
Created by a Florida mom · Published by Tropical Learning LLC
What Is Benchmark MA.6.AR.2.3?
Students write and solve one-step equations that use multiplication or division, such as px = q and x ÷ p = q (p ≠ 0), where all the numbers and solutions are integers. The variable can be on either side.
Use the inverse operation: divide to undo multiplication, and multiply to undo division.
Official benchmarkWrite and solve one-step equations in one variable within a mathematical or real-world context using multiplication and division, where all terms and solutions are integers.
On the FAST test: part of the Grade 6 reporting category Algebraic Reasoning, which is about 25–36% of the test.
Worked Examples
Worked Example 2
Undoing Division
Solve y ÷ 6 = −3.
- 1Multiply both sides by 6: y = −3 × 6
- 2−3 × 6 = −18
Answer: y = −18
Common Mistakes to Watch For
Adding or subtracting instead of dividing
Wrong:−4x = 28, so x = 28 + 4 = 32
−4x means −4 times x. Divide: x = 28 ÷ (−4) = −7.
Getting the sign wrong
Wrong:x ÷ (−2) = 9, so x = 18
Multiply both sides by −2: x = 9 × (−2) = −18.
Helpful Math Tip
Say the equation in words: "−4 times what number is 28?" Then check the answer by substituting.
Related Grade 6 Skills
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