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Published byCalvin Kelley Modified over 5 years ago

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Solve Two-Step Equations

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Vocabulary A two-step equation, such as 2x + 3 = 9 has two different operations, multiplication and addition. To solve a two-step equation, undo the operations in reverse order of the order of operations. Step 1: undo the addition or subtraction first. Step 2: undo the multiplication or division.

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Example 1: Solve 2x + 3 = 9. Check your solution 2x + 3 = 9write the equation. -3 = -3 undo addition first by subtraction 2x = 6 2 2undo multiplication by division x = 3simplify Check your solution

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Example 2: Solve 3x + 2 = 23. Check your solution 3x + 2 = 23write the equation. -2 = -2 undo addition first by subtraction 3x = 21 3 3undo multiplication by division x = 7simplify Check your solution

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Example 3: Solve -2x – 7 = 3. Check your solution -2x – 7 = 3write the equation. +7 = +7 undo addition first by subtraction -2x = 10 -2 -2undo multiplication by division x = -5simplify Check your solution

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Example 4: Solve

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Practice: 1) 2x + 4 = 10 2)3x – 4 = 8 3)

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Summary To solve two-step equations, undo addition or subtraction first and then undo multiplication or division.

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