Expressions Review

Simplifying Expressions

100

Simplify:

r(6r + 7 + 9y)

6r² + 7r + 9ry

200

Simplify 6(f + 2f + 3).

18f+18

300

5(3g+2h+5g) - 22g - 10h

18g

400

10(4p+3m+5p+m)

90p+40m

500

Simplify 4c(10+2c+2+3c)+c

20c² + 49c

Writing Expressions

100

 Samantha buys four notebooks and a $3 book.  Write an expression for how much money Samantha spends.

4x+3

x=cost of one notebook

200

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

300

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

400

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

500

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

Zero/Ones

100

x/1

x

200

 0x + 1x + 1x + 0y +1y

2x + y

300

1y/y  +   0z

1

400

1y + y/1 + x/x

2y + 1

500

x/x - 0y + 1 - (2y - y)/y

1

Mystery Expressions

100

a number b less than 7

7 - b

200

-8(x - 1)

-8x + 8

300

Simplify:

a(2a + b) + a² + 2ab

3a² + 3ab

400

The width of a rectangle is 3 more than double the length. Write an expression that represents the perimeter of the rectangle.

6x+6

500

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