Download Distributive Property (P2)

Assignment # ______ Distributive Property (Part 2)
Name ________________________
Standard: AF 1.3 Simplify expressions using the D.P.
Pre-Algebra, Period _________
Date _________________________
Distributive Property: to multiply a sum or difference, make sure the outside number says, “Hi” to
everyone inside.
Arithmetic
3(2 + 6) = 3(2) + 3(6)
(2 + 6)3 = 2(3) + 6(3)
6(7 – 4) = 6(7) – 6(4)
(7 – 4)6 = 7(6) – 4(6)
Algebra
a(b + c) = ab + ac
(b + c)a = ba + ca
a(b – c) = ab – ac
(b – c)a = ba – ca
Use the distributive property to write an equivalent expression. Then evaluate the expression.
Example: 3(3 + 4) = _______3(3) + 3(4)______ = ___9 + 12___ = ___21____
equivalent expression
simplified
1. 4(5 + 3) = ______________________ = ____________ = ___________
equivalent expression
simplified
2. 6(2 + 5) = ______________________ = ____________ = ___________
equivalent expression
simplified
3. 3(5 + 6) = ______________________ = ____________ = ___________
equivalent expression
simplified
4. 5(100 + 8) = ______________________ = ____________ = ___________
equivalent expression
simplified
5. (50 + 2)6 = ______________________ = ____________ = ___________
equivalent expression
simplified
6. 8(6 – 2) = ______________________ = ____________ = ___________
equivalent expression
simplified
7. Which equation shows the distributive property?
A 4(3 + 6) = 12 + 24
B (4 + 3) + 6 = 6 + (4 + 3)
C (12 + 4) + 0 = 12 + 4
D (12 + 4) + 6 = 12 + (4 + 6)
8. Which expression is the result of applying the distributive property to 6 x (100 + 3)?
A 6 x 103
B 6 x 118
C 600 + 3
D 600 + 18
Distributive Property: to multiply a sum or difference, make sure the outside number says, “Hi” to
everyone inside.
Example: 3(4x + 5) = 3(4x) + 3(5) = 12x + 15
Simplify the expression.
9. 4(x + 3) =
10. 5(4x + 3) =
11. 3(6x + 5) =
12. 7(x + 8) =
13. 12(2x + 5) =
14. –3(x + 7) =
15. 5(x – 8) =
16. 5(2x – 4y) =
17. 6(3x – 2y) =
18. Which expression is equivalent to –3(x + 4)?
A –3x + 4
B –3x + 12
C –3x – 12
D –3x – 3
C 4x – y
D x – 4y
C 2(x + 10)
D x + 20
19. Which expression is equivalent to 4x – 4y?
A 4xy
B 4(x – y)
20. Which expression is equivalent to 2x + 20?
A 40x
B 2x + 10