Distributive property and basic equations web
- 1. Bell Ringer • In an Olympic clean-and-jerk event, Cheryl Haworth lifted one 15 kilogram bar, four plates that weighed 25 kilograms and 2 plates that each weighed 20 kilograms. Write and evaluate an expression to find the total weight lifted.
- 2. Bell Ringer • In an Olympic clean-and-jerk event, Cheryl Haworth lifted one 15 kilogram bar, four plates that weighed 25 kilograms and 2 plates that each weighed 20 kilograms. Write and evaluate an expression to find the total weight lifted. • 15 + (4 x 25) + (2 x 20) • 155 kg
- 3. Where we were… • Commutative Property of Addition • Associative Property of Addition • Identity Property of Addition • Distributive Property • Properties worksheet
- 4. Where we are… • Students will learn to… • Use the distributive property to solve problems. • Solve one-step equations
- 5. Distributive Property • When you multiply a factor by a sum (or difference), the product is the same as multiplying the factor by each term and then adding (or subtracting) the products. • Arithmetic Example Algebra • 4(5 + 9) = 4(5) + 4(9) p(x + q) = px + pq • 4(14) = 20 + 36 • 56 = 56
- 6. Distributive Property • 10(5 + 8) • 3 (9 + 11)
- 7. Distributive Property • 10(5 + 8) • (10 x 5) + (10 x 8) • 50 + 80 • 130 • 3 (9 + 11) • (3 x 9) + (3 x 11) • 27 + 33 • 60
- 8. Can you use the Distributive Property to solve this problem? • 3(87) • 3(80 + 7) • 240 + 21 • 261
- 9. Writing equations • A number plus six equals 45. • y + 6 = 45 • A number minus 12 equals 10. • n – 12 = 10 • Seven added to a number equals 100. • x + 7 = 100 • 20 subtracted from a number equals 7. • n – 20 = 7
- 10. Key Vocabulary for Solving Equations • Inverse operation • Zero Pairs • Isolate • Addition Property of Equality • If you add the same value to each side of an equations, the two sides remain equal. • Subtraction Property of Equality • If you subtract the same value from each side of an equation, the two sides remain equal.
- 11. Solving Equations Algebraically • y + 6 = 45 Goal: Isolate the variable Question: How can get the variable by itself? Think… What is the inverse operation of addition? or Think… What is the opposite of adding 6? or Think… What is a zero pair to +6?
- 12. Solving Equations Algebraically • y + 6 = 45 • -6 -6 • y = 39 Goal: Isolate the variable Subtract 6 from both sides Think… What is the inverse operation of addition? or Think… What is the opposite of adding 6? or Think… What is a zero pair to +6?
- 13. Solving Equations Algebraically • n – 12 = 10 Goal: Isolate the variable Question: How can get the variable by itself? Think… What is the inverse operation to…? or Think… What is the opposite of… ? or Think… What is a zero pair of…?
- 14. Solving Equations Algebraically • n – 12 = 10 • + 12 + 12 • n = 22 Goal: Isolate the variable Add 12 to both sides Think… What is the inverse operation to…? or Think… What is the opposite of… ? or Think… What is a zero pair of…?