ALGEBRA 1 LESSON 1-2ALGEBRA 1 LESSON 1-2

Simplify each expression.1. 50 – 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

Exponents and Order of OperationsExponents and Order of Operations

1-2

ALGEBRA 1 LESSON 1-3ALGEBRA 1 LESSON 1-3

Name the set(s) of numbers to which each given number belongs.

1. –2.7 2. 11 3. 16

Use <, =, or > to compare.

4. 5.

6. Find |– |.

34

58

rational numbers irrational numbers natural numbers, whole numbersintegers, rational numbers

– –

7 12

> <

7 12

Exploring Real NumbersExploring Real Numbers

1-3

34

58

ALGEBRA 1 LESSON 1-6ALGEBRA 1 LESSON 1-6

Simplify.

1. –8(–7) 2. –6(–7 + 10) – 4

Evaluate each expression for m = –3, n = 4, and p = –1.

3. + p 4. (mp)3 5. mnp

6. Evaluate 2a ÷ 4b – c for a = –2, b = – , and c = – .

56 – 22

–7 27 12

312

Multiplying and Dividing Real NumbersMultiplying and Dividing Real Numbers

1-6

8mn

13

12

ALGEBRA 1 LESSON 1-7ALGEBRA 1 LESSON 1-7

Simplify each expression.

1. 11(299) 2. 4(x + 8) 3. – 3(2y – 7)

4. –(6 + p) 5. 1.3a + 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

47

35b –( )

The Distributive PropertyThe Distributive Property

1-7

47

35

ALGEBRA 1 LESSON 1-8ALGEBRA 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

Properties of Real NumbersProperties of Real Numbers

1-8