Distributing with Addition & Subtraction
3(x + 2)
3x + 6
A school buys 6 packs of notebooks. Each pack contains x notebooks, and they also receive 4 extra notebooks with each pack.
Write and simplify an expression for the total number of notebooks.
6(x+4)
6x+24
A number in front of a variable
Coefficient
-3(5y-8)+6(2-y)
-15y+24+12-6y
-21y+36
6(-7y-4)
-42y-24
A gym charges a monthly fee of $25 plus $8 per class. If someone takes x classes, write and simplify an expression for the total monthly cost.
25+8x
1.2(5y+3)
6y+3.6
A letter or symbol that represents an unknown quantity
Variable
7(2a-3)-4(3a+5)+2a
14a-21-12a-20+2a
4a-41
2(a + 4)
2a + 8
A teacher buys 4 boxes of markers. Each box has (3x – 2) markers. Write and simplify an expression for the total number of markers.
4(3x-2)
12x-8
2/3(9a-15)-4a
6a-10-4a
2a-10
The property that states a(b + c) = ab + ac
The distributive property
-5(2m-4)-3(3-2m)
-10m+20-9+6m
-4m+11
-3(4b+6b)
-12b-18b
-30b
Five friends each buy a movie ticket for x dollars and spend $6 on snacks. Write and simplify an expression for the total amount spent.
5(x+6)
5x+30
-4/3(6p-9)+1/2(8p)
-8p-12+4p
-4p-12
Product means_______
Quotient means________
*Must get both correct to get points
Multiplication
Division
-4(-3x-5)+2(-2x-7)
12x+20-4x-14
8x+6
13y(-y-2)
-13y2-26
A catering company charges 3(15 + x) dollars for a meal package. Simplify the expression and explain what each term represents.
3(15+x)
45+3x
4.2(3p-2)-2.1(2p+1)
12.6p-8.4-4.2p-2.1
8.4p-10.5
Evaluate
to solve
6(4p-1)-2(3p+8)+5(p-6)
24p-6-6p-16+5p-30
18p+5p-6-16-30
23p-52