Distribute it!
Use the distributive property to rewrite 5(a+7)
5a+35
Factor 10a+25
5(2a+5)
Combine like terms. 3a+4a-2a
5a
This property lets you group the numbers differently in addition problems.
What is the associative property of addition?
A bakery sells muffins that have 15+X chocolate chips in each one. They sold 22 of these muffins this morning. Write and expand an expression to represent this situation.
22(15+X) = 330+22X
Distribute 6(2x+5)
12x+30
Factor 14x+7
7(2x+1)
2.5x+5.25x-8.25y
7.75x-8.25y
This property explains a(b+c) = ab+ac.
What is the distributive property?
A school buys 14 boxes of pencils. Each box has (2+X) pencils. Write and expand an expression to represent the situation.
14(2+X) = 28+14X
Apply the distributive property on 1/2(3/4x+2/5)
3/8x+1/5
Factor 1.5x-0.5
0.5(3x-1)
10a+3.5b-2a+4b
8a+7.5b
What is the associative property of multiplication?
A gardener plants 4 rows with X-2 flowers in each row. Write and expand an expression for the situation.
4(X-2) = 4X-8
Apply the distributive property to 4.5(3x-10)
13.5x-45
Factor 2.25x+0.75
0.75(3x+1) or 0.25(9x+3)
x+y-1/3x-y
2/3x
This property allows for any number times 1 to be itself.
What is the identity property of multiplication?
A club sells tickets at (4.25+0.5X) dollars each. They sell 25 tickets. Write and expand an expression for this situation.
25(4.25+0.5X) = 106.25+12.5X