Equations
One-step decimal equations worksheets
Practice ten one-step equations with decimal operands and exact terminating solutions. Use inverse operations and check each solution with the original decimal values.
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One-step equations worksheet with integers
Print a 10-question one-step equations worksheet with signed integers, four inverse operations, exact answers, worked steps, and substitution checks.
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Solve each equation exactly. Keep both sides equal by applying the same operation, then substitute your answer into the original equation.
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Customize this worksheetUndo the operation and check the result
Each ten-question worksheet includes addition, subtraction, multiplication and a variable divided by a constant. The unknown expression can appear on either side of the equal sign. A worked key shows the operations and checks the result in the original equation.
The one-step integer and decimal sets request exact answers. Decimal questions use terminating values; do not round away information while solving.
Learning objective
What this activity builds
Isolate an unknown by applying the same inverse operation to both sides of an equation.
Worked example
Solve −6x = 42.
x = −7.
Divide both sides by −6. The left side becomes x and 42 ÷ (−6) is −7. Check in the original equation: −6 × (−7) = 42.
Teaching notes
Make the practice count
- Read both sides before choosing an operation.
- Ask what happened to the unknown, then undo that operation.
- Include equations with the numerical value on the left.
- Keep a negative coefficient attached to its variable while dividing.
Choose this one-step equations worksheet
Use this ten-question set when learners can calculate with signed integers and are beginning to isolate an unknown. Each sheet practices addition, subtraction, multiplication and division together, so learners must choose the inverse operation for each equation.
After this integer practice, continue with the related one-step decimal equations worksheet for exact terminating decimals or the one-step fraction equations worksheet for fractional and mixed-number quantities.
Which side of the equation contains the unknown?
Both orientations appear: five equations have the unknown expression on the left and five have it on the right. Reading equality in both directions helps learners avoid treating the equal sign as an instruction to calculate only from left to right.
Are the solutions exact, including negative values?
Yes. The questions use positive and negative integer quantities, and every answer is an exact integer. The key shows the solving steps and checks each result by substitution.
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Ten equations cover all four inverse-operation families, both equality orientations, and signed values.
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