Simplifying Expressions
Simplify:
r(6r + 7 + 9y)
6r2 + 7r + 9ry
Samantha buys four notebooks and a $3 book. Write an expression for how much money Samantha spends.
4x+3
x=cost of one notebook
x/1
x
a number b less than 7
7 - b
Simplify 6(f + 2f + 3).
18f+18
I baked a batch of cookies. I gave 4 cookies to my sister and split the rest with my friend. Write an expression for how many cookies I have now.
(x-4)/2
x=number of cookies baked
0x + 1x + 1x + 0y +1y
2x + y
-8(x - 1)
-8x + 8
5(3g+2h+5g) - 22g - 10h
18g
Bob earns $8 per hour at his job bussing tables. He also gets $15 in tips at the end of a shift.
8x + 15
x = the number of hours Bob works
1y/y + 0z
1
Simplify:
a(2a + b) + a2 + 2ab
3a2 + 3ab
10(4p+3m+5p+m)
90p+40m
Clumsy Cate had a bag of marbles, but she dropped it and seven rolled under the couch. Then her mean sister Mean Jean stole half of her marbles. Later that evening, Cate found three of her lost marbles. How many marbles does Cate have now?
(c-7)/2 + 3
OR
(c-7) - 1/2(c-7)+3
c = the number of marbles Cate started with
1y + y/1 + x/x
2y + 1
The width of a rectangle is 3 more than double the length. Write an expression that represents the perimeter of the rectangle.
6x+6
Simplify 4c(10+2c+2+3c)+c
20c2 + 49c
At Carl’s Crazy Critters, he has a lot of critters. On Monday night, half of them escape. On Tuesday, two dozen more escape.
c/2 – 24
OR
c - 1/2c – 24
c = the number of critters Carl had to start with
x/x - 0y + 1 - (2y - y)/y
1
Buster Baked a Batch of Brownies for the Bake sale. He sold 35 of the brownies and then gave half of the remaining brownies to his brother. Write an expression for the amount of brownies Buster will have left.
(x-35)/2
OR
1/2(x-35)
x = number of brownies Buster baked