The Distributive Property Math Test | Felician University

University:
Felician University
Course:
MATH-002 | Basic Math Skills-Algebra
Academic year:

2020
Views:

195

Pages:

2
Author:

5CelestialChronicle

The Distributive Property Recall: The distributive property states that: a(b+c) = ab + ac or a(b-c) = ab - ac Examples: Directions: Simplify each expression by distributing. 7(x + 5) 7x + 35 5(w - 4) 5w - 20 -5(m - 5) -5m + 25 9(2 - a) 18 - 9a 2(y + 6) 2y + 12 -2(x + 7) -2x - 14 -7(3 - 5m) -21 + 35m 3(2n + 8) 6n + 24 -12(c + 4) -12c - 48 -2(4k + 5) -8k - 10 -(k + 2) -k - 2 4(1 - 7p) 4 - 28p 9(2r - 7) 18r - 63 -6(k + 4) -6k - 24 1/8(3/4w + 10) 3/32w + 5/4 Directions: Simplify each expression by either combining like terms or distributing. After completing each set, find matching numbered boxes. One will have a letter and the other a number. Write the letter in the matching numbered box at the bottom of the page. Set 1 4(x+7) = 4x + 28 0 + 4x - 7x - 6 = -2x - 2 -5(x-9) = -5x + 45 9x - 22 - 5 - 12 = -3x - 27 5x + 14 - 11 - 2 = 2x + 1 2(x-1) = 2x - 2 6x - 2 - 2x + 30 = 4x + 28 -3(x+9) = -3x - 27 40 - 9x + 4x + 5 = -5x + 45 -5(x-9) = -5x + 45 Set 2 13n - 53 - 3n + 3 = 10n - 50 -2(4n + 5) = -8n - 10 5n + 20 -6(n-2) = -6n + 12 n + 4 -4(n+8) = -4n - 32 3 - 12n + 6n - 35 = -4n - 32 -11n - 10 20 - 12a + 10a - 4 = -2a + 16 10(n-5) = 10n - 50 3 - 17 - 9a + 2a = -7a - 14 Set 3 3(2a+1) = 6a + 3 -2(a-8) = -2a + 16 7a - 14 8a - 5a + 26 - 2 = 3a + 24 3(a+8) = 3a + 24 -4(3a+5) = -12a - 20 -7a - 14 11a - 8 + 11 - 5a = 6a + 3 20 - 12a + 10a - 4 = -2a + 16 32a + 1 11a - 8 - 11 + 5a = 6a - 19 -4(3n + 5) = -12n - 20 -7a - 14 8a - 5a + 26 - 2 = 3a + 24