2-3 Solving Multi-Step Equations

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Presentation transcript:

2-3 Solving Multi-Step Equations Goal: Solve multi-step equations using the Distributive Property and Combining Like Terms Eligible Content: A1.1.2.1.1 / A1.1.2.1.2 / A1.1.2.1.3

Vocabulary Multi-Step Equations – equations that require multiple steps to isolate the variable.

Sometimes you have to combine like terms before you get x alone! 7x – 3x – 8 = 24 4x – 8 = 24 +8 +8 4x = 32 4 4 x = 8

Sometimes you have to distribute before you get x alone 4(2x + 7) = 64 4•2x + 4 • 7 = 64 8x + 28 = 64 -28 -28 8x = 36 8 8 x = 4.5

Examples 2x – 9x + 17 = -4 x = 3 2y + 3y + 1 = 6 y = 1

Examples 8(3x – 4) = -8 x = 1 -6(2w – 8) = 72 w = -2

Examples 5y + 3(y + 4) = 28 4z – 3(z – 2) = 21 -2(4h +5) + 3 = 17

Practice Worksheet – “2-3 Solving Equations with Combining Like Terms and the Distributive Property”

Homework Worksheet – “2-3 Multistep Equations Homework”