1. ALGEBRA 1 LESSON 1-8 (For help, go to Lessons 1-4 and 1-6.) Simplify each expression. 1.8 + (9 + 2)2.3 (–2 5)3.7 + 16 + 3 4.–4(7)(–5)5.–6 + 9 + (–4)6.0.25 3 4 7.3 + x – 28.2t – 8 + 3t9.–5m + 2m – 4m Properties of Real Numbers 1-8

2. ALGEBRA 1 LESSON 1-8 1. 8 + (9 + 2) = 8 + (2 + 9) = (8 + 2) + 9 = 10 + 9 = 19 2. 3 (–2 5) = 3 (–10) = –30 3. 7 + 16 + 3 = 7 + 3 + 16 = 10 + 16 = 26 4. –4(7)(–5) = –4(–5)(7) = 20(7) = 140 5. –6 + 9 + (–4) = –6 + (–4) + 9 = –10 + 9 = –1 6. 0.25 3 4 = 0.25 4 3 = 1 3 = 3 7. 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

3. 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

4. Suppose you buy a shirt for $14.85, a pair of pants for $21.95, and a pair of shoes for $25.15. Find the total amount you spent. 14.85 + 21.95 + 25.15 = 14.85 + 25.15 + 21.95Commutative Property of Addition = (14.85 + 25.15) + 21.95Associative Property of Addition = 40.00 + 21.95Add within parentheses first. “OoO” = 61.95Simplify. The total amount spent was $61.95. ALGEBRA 1 LESSON 1-8 Properties of Real Numbers 1-8

5. 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