Algebra 1: Section 2-3

# Algebra 1: Section 2-3

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## Algebra 1: Section 2-3

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1. Algebra 1: Section 2-3 Solving Multi-Step Equations

2. Objectives: • To use the Distributive Property when combining like terms. • To use the Distributive Property when solving equations.

3. Steps for solving multi-step equations: • Clear the equations of fractions and decimals • Use the Distributive Property to remove parentheses on each side • Combine like terms on each side • Undo addition or subtraction • Undo multiplication or division

4. Combining Like Terms • -2y + 5 + 5y = 14 • 3y + 5 = 14 • - 5 - 5 • 3y = 9 • 3 3 • y = 3

5. Solving an Equation with Grouping Symbols: • 3(k + 8) = 21 • 3k + 24 = 21 • - 24 - 24 • 3k = -3 • 3 3 • K = -1 • -3(x – 1) + 9 = 15 • -3x + 3 + 9 = 15 • -3x + 12 = 15 • - 12 - 12 • -3x = 3 • -3 -3 • x = -1

6. Solving an Equation that contains Decimals • 0.025x + 22.95 = 23.65 • 25x + 22950 = 23650 • - 22950 -22950 • 25x = 700 • 25 25 • x = 28 • Move decimal three times to the right because the 0.025 has three decimal places and the others have two, so we move it the most times in the problems. • Solve the problem like any other problem.

7. Solve an equation that contains Fractions: • 2/3 x – 5/8 x = 26 • (2/3 x)(24) – (5/8 x)(24) = 26 (24) • 16x - 15x = 624 • x = 624 • Find the common denominator for the entire equation and multiply each part by that number. • Solve the equation

8. Check Understanding • Y + y + 2 = 18 • 5(y – 3) = 19

9. Assignment: • Pg. 91: multiples of 3 #3-48, 54