Unit 3 Day 3 Solving OneStep Equations Objectives
Unit 3 Day 3: Solving One-Step Equations Objectives: ~ Solve equations using addition & subtraction ~ Solve equations using multiplication & division
Solve Equations Using Addition or Subtraction In an equation, the variable represents the number that satisfies the equation. To solve an equation means to find the value that makes the equation true. The process of solving an equation requires assuming that the original equation has a solution and isolating the variable (with a coefficient of 1) on one side of the equation. Each step in this process results in equivalent equations. Equivalent equations have the same solution.
Key Concept: Addition Property of Equality Words If an equation is true and the same number is added to each side of the equation, the resulting equivalent equation is also true. Symbols For any real numbers a, b, and c, if a = b, then a + c = b + c. Examples 14 = 14 14 + 3 = 14 + 3 17 = 17 -3 = -3 +9 = +9 6=6
Example 1
Guided Practice
Key Concept: Subtraction Property of Equality Words If an equation is true and the same number is subtracted from each side of the equation, the resulting equivalent equation is also true. Symbols For any real numbers a, b, and c, if a = b, then a – c = b – c. Examples 87 = 87 87 – 17 = 87 – 17 70 = 70 13 = 13 - 28 = -28 -15 = -15
Example 2
Guided Practice
Key Concept: Multiplication Property of Equality
Key Concept: Division Property of Equality
Example 3
Guided Practice
Real-World Example 4
Guided Practice 4. STAINED GLASS Allison is making a stained glass window. Her pattern requires that one fifth of the glass should be blue. She has 288 square inches of blue glass. If she intends to use all of her blue glass, how much glass will she need for the entire project?
- Slides: 14