What is the difference between 6z and z6? Lesson 5 What is the difference between 6z and z6? 6z is 6 z or z + z + z + z + z + z which is repeated addition. z6 or z x z x z x z x z x z Write 10 3 as a multiplication expression having repeated factors. 10 X 10 x 10 Write 8 x 8 x 8 using exponents. 83

Evaluate this expression: 39 ÷ (2+1) – 2 x (4+1) Lesson 6 Evaluate this expression: 39 ÷ (2+1) – 2 x (4+1) 3 Evaluate this expression: 12 x (3+22) ÷ 2 - 10 32 Evaluate this expression: 12 x (3+2)2 ÷ 2 - 10 140

In the drawing below, what do the letter l and w represent? Lesson 7 In the drawing below, what do the letter l and w represent? l is length w is width l w What does the expression l + w + l + w represent? Perimeter of the rectangle. What does the expression l w represent? Area of the rectangle. The rectangle below is congruent to the rectangle shown in Problem 1. Use this information to evaluate the expressions from Problems 2 and 3. Perimeter: 5 + 2 + 5 + 2 = 14 units Area: 5 x 2= 10 square units

Lesson 8 State the commutative property of addition, and provide an example using two different numbers or variables. Order does not matter when adding. Examples: 2 + 3 = 3 + 2 a + b = b + a State the commutative property of multiplication, and provide an example using two different numbers or variables. Order does not matter when multiplying. Examples: 2 x 3 = 3 x 2 a x b = b x a State the additive property of zero and provide an example using any other number. The value of a number does not change when 0 is added to that number. Examples: 2 + 0 = 2 or f + 0 = f State the multiplicative property of one and provide an example using any other number. The value of a number does not change when the number is multiplied by 1. Examples: 2 x 1= 2 or f x 1= f

Write an expression showing the sum of 8 and a number f. Lesson 9 Write an expression showing the sum of 8 and a number f. 8 + f or f + 8 Write an expression showing 5 less than the number k. k - 5 Write an expression showing the sum of a number h and a number w minus 11. (h + w) - 11

Lesson 10 Rewrite the expression using the fewest number of symbols and characters possible. a) 5g 7h b) 3 x 4 x 5 x m x n 35gh 60mn Expand the following expressions: a) 14b b) 30jk 14 x b 30 g h