algebra 1 lesson 1-2 simplify each expression. 1. 50 – 4 3 + 6 2. 3(6 + 2 2 ) – 5 3. 2[(1 + 5) 2...
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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