Solving One- and Two-Step Equations

Front

What is a one-step equation?

Back

An equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

What is a two-step equation?

Back

An equation that requires two operations to solve, typically involving both addition/subtraction and multiplication/division.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

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Back

Subtract 7 from both sides to isolate the term with x.

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Back

Divide both sides by 4 to find z = 9.

Front

What does it mean to 'balance' an equation?

Back

To keep both sides of the equation equal by performing the same operation on both sides.

Front

Back

Multiply both sides by 8 to find r = 72.

Front

What is the purpose of using inverse operations in solving equations?

Back

To undo the operations applied to the variable and isolate it.

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Back

Add 21 to both sides to isolate s.

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Back

Subtract 4 from both sides, then divide by 3 to find x = 2.