1. 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

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

3. 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: = 14 units
Area: 5 x 2= 10 square units

4. 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: = 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 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

5. 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

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