 # Solving Multi-Step Equations

## Presentation on theme: "Solving Multi-Step Equations"— Presentation transcript:

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

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

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

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

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

Solving an Equation that contains Decimals
0.025x = 23.65 25x = 23650 25x = 700 x = 28 Move decimal three times to the right because the 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.

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

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

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