4-1 through 4-4

Combine Like Terms

100

73x - 7x

66x

200

-3x - 6x

-9x

300

-0.5x + 0.12x

-0.38x

400

-1/3y + 5/6y 

1/2y

500

1/4p - 0.4p

-0.15p

Evaluate

100

3q - 19 when q is 4

-7

200

4r + 8f when r = 2, and f = -7

-48

300

-3x - 6y when x = 1.5 and y = -2

7.5

400

1/3y + 7x when y = 12, and x = 5/7

9

500

1/4x - 2/5y when x = 0.36 and y = 0.80

-0.23

Distribute

100

3(x - 7)

3x - 21

200

-2(4p - 6)

-8p + 12

300

(-1/2)(10w - (4/5))

-5w + 2/5

400

-1/8(-4x + 0.200)

1/2x - 0.025

500

-0.375(8t + 6.5) 

-3t - 2.4375

Write Expressions

100

A car can drive x miles on a tank of gas. How many miles can it drive on 5 tanks of gas? 

5x

200

You have 500 grams of sugar. If you use 50 grams per recipe, write an expression for how many grams you have left after r recipes. 

500-50r

300

You have 30 lbs of flour. Each time you go to the store, you buy a 5lb bag. Write an expression of how much flour you have after s trips to the store.  

30 + 5s

400

Each month you pay $19 for Hulu. You also pay $3.99 for each On Demand movie that you watch. You also pay $15 for Netflix every month. Write an expression for the cost of entertainment based on m movies that you watch On Demand in a month. 

$3.99m + $34

500

There are 365 days in a non-leap year and 24 hours in a day. Write an expression to describe how many hours are left in a year after n days.

24(365-n)

Distribute and Combine

100

3(x + 4) - 17

3x - 5

200

12(3x - 4) + 6(-4x + 9)

12x + 6

300

-4(2x - 5.5) - 3(x + 11) 

-11x - 11

400

x(-3 - 5y) + -4(x - 8)

-5xy -7x + 32

500

-0.5(-9x + 7) - 0.25(8x - 12)

2.5x - 0.5