1. Exponents and Order of Operations
ALGEBRA 1 LESSON 1-2
Simplify each expression.
– 4 • 3 + 6
2. 3(6 + 22) – 5
3. 2[(1 + 5)2 – (18 ÷ 3)]
Evaluate each expression.
4. 4x + 3y for x = 2 and y = 4
5. 2 • p2 + 3s for p = 3 and s = 11
6. xy2 + z for x = 3, y = 6 and z = 4 44 25 60 20 51
112
1-2

2. Exploring Real Numbers
ALGEBRA 1 LESSON 1-3
Name the set(s) of numbers to which each given number belongs.
1. –
Use <, =, or > to compare.
4. 5.
6. Find |– |.
rational numbers
irrational numbers
natural numbers, whole numbers
integers, rational numbers 3 4 5 8
> 3 4 5 8 –
< – 7 12 7 12
1-3

3. Multiplying and Dividing Real Numbers
ALGEBRA 1 LESSON 1-6
Simplify.
1. –8(–7) 2. –6(–7 + 10) – 4
Evaluate each expression for m = –3, n = 4, and p = –1.
p 4. (mp)3 5. mnp
6. Evaluate 2a ÷ 4b – c for a = –2, b = – , and c = – . 56
– 22 8m n –7 27 12 1 3 1 2 3 1 2
1-6

4. The Distributive Property
ALGEBRA 1 LESSON 1-7
Simplify each expression.
1. 11(299) (x + 8) – 3(2y – 7)
4. –(6 + p) a + 2b – 4c + 3.1b – 4a
6. Write an expression for the product of and the quantity b minus .
3289
4x + 32
– 6y + 21
– 6 – p
–2.7a + 5.1b – 4c 4 7 3 5 4 7 3 5
b –
( )
1-7

5. Properties of Real Numbers
ALGEBRA 1 LESSON 1-8
Name the property that each equation illustrates.
1. 1m = m 2. (– 3 + 4) + 5 = – 3 + (4 + 5)
3. –14 • 0 = 0
4. Give a reason to justify each step.
Iden. Prop. Of Mult.
Assoc. Prop. Of Add.
Mult. Prop. Of Zero
a. 3x – 2(x + 5) = 3x – 2x – 10
Distributive Property
b. = 3x + (– 2x) + (– 10)
Definition of Subtraction
c. = [3 + (– 2)]x + (– 10)
Distributive Property
d. = 1x + (– 10)
Addition
e. = 1x – 10
Definition of Subtraction
f. = x – 10
Identity Property of Multiplication
1-8