ALGEBRA 1 LESSON 1-8 (For help, go to Lessons 1-4 and 1-6.) Simplify each expression (9 + 2)2.3 (–2 5) –4(7)(–5)5.– (–4) x – 28.2t – 8 + 3t9.–5m + 2m – 4m Properties of Real Numbers 1-8

ALGEBRA 1 LESSON (9 + 2) = 8 + (2 + 9) = (8 + 2) + 9 = = (–2 5) = 3 (–10) = – = = = –4(7)(–5) = –4(–5)(7) = 20(7) = – (–4) = –6 + (–4) + 9 = – = – = = 1 3 = x – 2 = 3 + (–2) + x = 1 + x 8. 2t – 8 + 3t = 2t + 3t – 8 = (2 + 3)t – 8 = 5t – 8 9. –5m + 2m – 4m = (–5 + 2 – 4)m = –7m Properties of Real Numbers Solutions 1-8

Name the property each equation illustrates. a. 3 a = a 3 b. p 0 = 0 c. 6 + (–6) = 0 ALGEBRA 1 LESSON 1-8 Properties of Real Numbers 1-8 Commutative Property of Multiplication, because the order of the factors changes Multiplication Property of Zero, because a factor multiplied by zero is zero Inverse Property of Addition, because the sum of a number and its inverse is zero

Suppose you buy a shirt for $14.85, a pair of pants for $21.95, and a pair of shoes for $ Find the total amount you spent = Commutative Property of Addition = ( ) Associative Property of Addition = Add within parentheses first. “OoO” = 61.95Simplify. The total amount spent was $ ALGEBRA 1 LESSON 1-8 Properties of Real Numbers 1-8

ALGEBRA 1 LESSON 1-8 Name the property that each equation illustrates. 1. 1m = m2. (– 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 – 2x – 10 = 3x + (– 2x) + (– 10) Definition of Subtraction a. [3 + (– 2)]x + (– 10) b. 1x + (– 10)Addition c. 1x – 10Definition of Subtraction d. x – 10 Identity Property of Multiplication Properties of Real Numbers 1-8