The Distributive Property - Kirkland Mastery Math Extra Lesson 13 Answers.pdf · Distributive property of multiplication over addition 5. Additive inverses 7. Additive inverses 9.
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Kuta Software - Infinite Pre-Algebra ~ame _
\
The Distributive Property Date Period__
Simplify each expression.
1) 6(1 - 5m) 2) -2(1 - 5v)
6- 30m ···2+ 101'
3) 3(4 + 3r)
12 +
4) 3(6r+8)
181' + 24
5) 4(8n + 2) 6) -(-2 - n)
32n+ 8 2+17
7) -6(7k + 11) 8) -3(7n + 1)
-42k - 66 -2111 - 3
9) -6(1 + 11b) 10) -lO(a - 5)
--6 - 66b -lOa + 50
11) -3(1 + 2v) 12) -4(3x + 2)
- 6v -12x-8
13) (3 - 7k) . -2
--6 + 14k
14) -20(8x + 20)
-160x- 400
15) (7+ 19b) . -15 16) (x+ 1)·14
-105 -- 285b 14x + 14
Kuta Software - Infinite Pre-Algebra
Multi-Step Equations
Name ~ _
Date Period _
Solve each equation.
1) 6a + Sa =-11
{-l}
2) -6n - 2n = 16
{-2}
3) 4x + 6 + 3 = 17
{2}
4) 0 = -5n - 2n
{OJ
5) 6r - 1+ 6r = 11
{I}
6) r + 11 + 8r = 29
{2}
7) -1O=-14v+ 14v
No solution.
8) -lOp+9p=12
{-12}
9) 42 = 8m + 13m
{2}
10) a - 2 + 3 =-2
{-3}
11) 18 = 3(3x - 6)
{4}12) 30 = -5(6n + 6)
{-2}
13) 37 = -3 + 5(x + 6)
{2}14) -13 = 5(1+ 4m) - 2m
{-I}
15) 4(-x + 4) = 12
{l}
16) -2 = -en - 8)
{1O}
17) -6(1 - 5v) = 54
{2}18) 8=8v-4(v+8)
{l0}
19) 10(1+ 3b) = -20
{-I}
20) -5n - 8(1+ 7n) =-8
{OJ
21) 8(4k - 4) = -5k - 32
{OJ
22) -8( -8x - 6) = -6x - 22
{-I}
23) 8(1+ 5x) + 5 = 13+ 5x
{OJ
24) -11 - Sa = 6(5a + 4)
{-I}
25) -5(4x - 2) = -2(3 + 6x)
{2}26) 5(2x + 6) = -4(-5 - 2x) + 3x
{lOt
Selected Answers
Chapter 1
Lesson 1-1 Try 1bis
a. 17 b. 8 c. 11 d. 3 e. 18 f. 9 g. 10 h. 12i. 6 j. 2 k. 15 1. 16 m. 4 n. 21 o. 15 p. 11q.2
a. -x -:-2 b. -5x - 2y - 8 c. -a + 7d. -3c + 4d - 1 e. -6 + t f. 4a - 3t + 10g. -18- + m + 2n - 4t h. 2x - 9i.8x-4y+4 j.-9x-8y k.-16a+181. - 1 m. 4 n. 2x - y + 4
1. (B) or (C) 3. (A) or (B) 5. (B) or (C)Problems 7-24: Answers may vary.7. 127 + d = 318 9. 12c = 3.1211. 80c = 53,400 13. 2.5t = 16.615. b + 13.5 = 78.3 17. 391d = 150,000,00019. 325 = SOt 21. 7q = 45 23. 1087t = 10,000
Lesson 2-10 Try This
a. Associative property of addition b. Inverseproperty of multiplication c. Inverse property ofaddition d. Commutative property of multiplicatione. Reflexive f. Transitive g. Symmetric h. 2.Distributive property 3. Distributive property i. 4.Distributive property 6. Multiplicative identity7. Additive inverses
Exercise Set 2-10
1. Commutative property of addition 3. Distributiveproperty of multiplication over addition 5. Additiveinverses 7. Additive inverses 9. Associative propertyof multiplication 11. Distributive property ofmultiplication over addition 13. Multiplicative inverse15. Reflexive property of equality 17. Commutativeproperty of multiplication 19. Reflexive property ofequality 21. 1. Additive identity 3. Associativeproperty of addition 5. Distributive property 7. Mult.property of zero 8. Additive identity 23. No.1 + 3 = 4. 4 is not in the set of odd whole numbers.25. Yes27. Statement Reason
1. - (a - b) Subtraction rule-[a + (-b))
2. = - a + - (- b) Inverse of a sum3. = - a + b Inverse of inverse4. = b + -a Comm. property of addition5. = b - a Subtraction rule6. - (a - b) Transitive property of
= b - a equality29. 16(a - 3) 31. 15(3 - n) 33. 9 - 17c