Writing Expressions
Combining Like Terms
Distributive Property
Simplifying Expressions
Factoring
100

Janet has to pay a $45 initial fee to join a gym. She then has to pay a $30 monthly fee. Write an expression to represent the cost for m months.

45 + 30m

OR

30m + 45

100

Simplify:

-16x - 34 + 20x

4x - 34

OR

-34 + 4x

100

2(3x - 12)

6x - 24

100

-2(3y - 7) + 13

-6y + 27

100

3x - 9

3(x - 3)

200

Don bought 40 new rubber bands for a project. If he uses 2 rubber bands each day as he works on the project, write an expression to represent the number of rubber bands he will have left after d days.

40 - 2d

200

Name the like terms in this expression:

14z - 11 + 17x + 10 - 4z

14z and 4z

11 and 10

200

-4(12 - 8x)

-48 + 32x

200

3(x + 7) + 2(4x - 10)

11x + 1

OR

1 + 11x

200

12x + 16y - 24

4(3x + 4y - 6)

300

At a supply store, a package of paper costs $15.50, a notebook costs $2.75, and a sticker costs $0.28. Stan buys p packages of paper, n notebooks, and s stickers. Write an expression to represent the total cost.

15.50p + 2.75n + 0.28s

300

Name the coefficients in this expression:

16f + 17 + 11h - 3 + g

16, 11, 1

300

(5y - 12z)(-3)

-15y + 36z

OR

36z - 15y

300

-8(3v - 1) + 6

-24v + 14

300

-10r - 25

-5(2r + 5)

400

The expression that represents the cost of k pounds of kiwi and s pounds of strawberries is 2.35k + 1.18s. How much would it cost to buy 3 pounds of kiwi and 4 pounds of strawberries?

$11.77

400

Simplify:

-14c + 16 - 3c - 12 + 7c

-10c + 4

OR

4 - 10c

400

(-3/4)(20x - 8 + 12w)

-15x + 6 - 9w

400

1.2(x + 7) - 2(x + 5)

-0.8x - 1.6

400

14x + 35xy - 21xz

7x(2 + 5y - 3z)

500

Fred pays $25 each month to be in a book club, $10 each month for a magazine subscription, and paid a fee of $50 to join a ski club. Write an expression to represent the total cost for Fred for m months. Simplify the expression.

35m + 50

OR

50 + 35m

500

Simplify:

-3.5 - 7.2y + 8.1 - 10y

4.6 - 17.2y

OR

-17.2y + 4.6

500

-1.2(4x + 14 - 11z)

-4.8x - 16.8 + 13.2z

500

7(-3x + 4) - (x - 10)

-22x + 38

500

-24gh - 18h - 9fh

-3h(8g + 6 + 3f)

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