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Distributive Property
Simplify Using the Distributive Property
1) 4(x - 3)
2) 4(2t – 6)
3) –(a + 3)
4) –(2y – 5)
Simplify using the distributive property. Then combine like
terms.
5) 3(d – 4) + 2d
6) -2(x – 4) + 8
7) 12 – 3(y + 2)
8) - 3n – 4(n + 6) + 2
When solving, remove parentheses first. Then, combine like terms.
Solve and check.
9) 3(3x + 5) = 51
ck:
10) 3(n – 2) = 36
ck:
11) -2(2y + 8) = 32
ck:
12) 18 + 4(3a – 7) = -70
ck:
Write an equation and solve.
13) The product of three and the sum of a number and five is thirty-nine.
What is the number?
Distributive Property - HW
Name ______________
SHOW WORK!
Simplify using the distributive property.
1) 6(3y + 2)
3) (2a + 1) 2
2) -5(n - 4)
4) -3(-y + 2)
Simplify using the distributive property. Then combine like terms.
1) 4(2x + 3) + x
2) – 5(a + 1) + 5
3) 2(y + 4) + 2y
4) 3d + 4(d – 20)
When solving equations, remove parentheses first. Then, combine
like terms. (SW)
1) 6 – 2(n + 7) = 28
ck:
2) 3(r + 6) – 4r = 30
ck:
3) –(t + 5) + 3t = -31
ck:
4) 2a + 3(a – 2) – 4(a + 1) = - 10
ck:
Write an equation and solve. (SW on separate paper)
1) The product of three and the sum of a number and five is thirty-nine.
What is the number?
2) Negative eighteen is twice the difference of a number and three. Find the
number.