Exponents and Order of Operations

1
Exponents and Order of Operations
ALGEBRA 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
1-2
2
Exploring Real Numbers
ALGEBRA 1 LESSON 1-3
Name the set(s) of numbers to which each given
number belongs. 1. 2.7 2. 11 3. 16 Use lt,
, or gt to compare. 4. 5. 6. Find .
rational numbers
irrational numbers
natural numbers, whole numbers integers,
rational numbers
3 4
5 8
gt
lt


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. 3. p 4. (mp)3 5.
mnp 6. Evaluate 2a 4b c for a 2, b
, and c .
22
56
7
27
12
1-6
4
The Distributive Property
ALGEBRA 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
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