Worked Example 1
Undoing Addition
Solve x + 15 = 6.
- 1Subtract 15 from both sides: x = 6 − 15
- 26 − 15 = −9
Answer: x = −9
Florida Grade 6 Math · Algebraic Reasoning
MA.6.AR.2.2: One-Step Equations: Addition and Subtraction
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.2.2?
Students write and solve one-step equations that use addition or subtraction, such as x + p = q, where all the numbers and solutions are integers. The variable can be on either side of the equal sign.
Use the inverse operation to get the variable alone: subtract to undo addition, and add to undo subtraction. Always do the same thing to both sides.
Official benchmarkWrite and solve one-step equations in one variable within a mathematical or real-world context using addition and subtraction, 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
A Real-World Equation
The temperature rose 12 degrees and is now 5°F. Write and solve an equation for the starting temperature t.
- 1Start plus 12 equals 5: t + 12 = 5
- 2Subtract 12 from both sides: t = 5 − 12 = −7
- 3Check: −7 + 12 = 5
Answer: t = −7, so it started at −7°F
Common Mistakes to Watch For
Using the same operation instead of the inverse
Wrong:x + 15 = 6, so x = 6 + 15 = 21
Undo adding 15 by subtracting 15: x = 6 − 15 = −9.
Making a sign error
Wrong:x − 8 = −3, so x = −11
Add 8 to both sides: x = −3 + 8 = 5.
Helpful Math Tip
Check every answer by substituting it back into the original equation.
Related Grade 6 Skills
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