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.

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

Where we were… • Commutative Property of Addition

• Associative Property of Addition

• Identity Property of Addition

• Distributive Property

• Properties worksheet

Where we are… • Students will learn to…

• Use the distributive property to solve problems.

• Solve one-step equations

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

Distributive Property• 10(5 + 8)

• 3 (9 + 11)

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

Can you use the Distributive Property to solve this problem?• 3(87)

• 3(80 + 7)• 240 + 21• 261

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

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.

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?orThink… What is the opposite of adding 6?orThink… What is a zero pair to +6?

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?orThink… What is the opposite of adding 6?orThink… What is a zero pair to +6?

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…?orThink… What is the opposite of… ?orThink… What is a zero pair of…?

Solving Equations Algebraically • n – 12 = 10• + 12 + 12• n = 22

Goal: Isolate the variableAdd 12 to both sides

Think… What is the inverse operation to…?orThink… What is the opposite of… ?orThink… What is a zero pair of…?