Cc math 1 standards: unit 2name:
combine like terms and distributive property worksheet

warm up: simplify each expression

1) 12r + 5s – 7t + 11r + 9s – 4r

2) – 4(5a – 3b)

3) 5(7 + 3x) – 12

4) 8y – 6(3y – 7)

5) 2(z + 3) + 3(5 – 3z)

6) 8x2 – 7x + 4x3 – 2 – 3x2 + 9x - 4

#1 – 3: combine like term word problems:
1) bob mowed (2x2 + 5x – 3) yards on monday, (4x – 7) yards on tuesday, and (3x2 + 10) yards on wednesday.
a. how many yards did he mow in the three days?

b. if bob mowed 14x2 + 12x – 3 yards total for the entire week, how many yards did he mow during the rest of the week?

2) molly has (4x + 10) dollars and ron has (20 – 5x) dollars.
a. how much money do they have altogether?

b. how much more money does molly have than ron?

3) ross has (8x – 5) tickets for chuck e cheese. he is going to play today and wants to buy a prize that is (15x + 1) tickets. how many tickets must he win to have enough tickets to buy the prize?

4)
3ab + 4a2
find the perimeter of each of the shapes pictured below:
(combine like terms of the sides)
4z + 3
3 – 2x

x

3b2
2a2
4z + 3

7 + y
6b2 – 5ab

7 + 3x

3x - 4
3x - 4

3a - b

3a - b

7 – 2x
7 – 2x
5x – 2

3a - b

5x + 5

5) find the area of the given shapes:
equation #1: area of rectangle = length * width,
equation #2: area of triangle = ½ *base*height

a. find area of a rectangle with length of 5 and width of 3x – 5y + 6.

5

3x – 5y + 6

b. find area of a rectangle with width of 7 and length of 6x – 7

c. find area of a triangle with base of 12 and height of 5a + 7b
5a + 7b

12

d. find area of a triangle with base of (6y2 + 5y – 2) and height of 8

find the missing side of the shape based on its perimeter and known sides.
6) a triangle has a perimeter of 10a + 3b + 12 and has sides of length 3a + 8 and 5a + b, what is the length of the third side?
5a + b