Simplifying Expressions
Adding and Subtracting Linear Expression
The Distributive Property
Multiplying & Dividing
Cumulative Practice
100

x + 8 - 4x

-3x + 8

100

(c-4)+(3c+9)

4c+5

100

2(a-3)

2a-6

100

6 times 12

36

100

-38 - (-14)

-24

200

2m - m - 7m

-6m

200

(x-1)-(3x+2)

-2x-3

200

9(-3w-6.2+2w)

-9w-55.8

200

-225 divide 15

-15

200

-0.28 -: (-0.07)

4

300

35x + 19 - 20x - 7

15x + 12

300

(-2.1m-5)+(3m-7)

0.9m-12

300

-1.5(4-n)+2.8

-3.2+1.5n

300

100 times 1/4

25
300

17/8 - (-7/8)

24/8 or 3

400
Write an expression for selling the same number of sandwiches.

Turkey Pretzel Roll = 2.25

Ham Pretzel Roll = 1.55

Turkey Bagel = 2.00

Ham Bagel = 1.30

7.1x or 7.10x

400

A basket holds n apples. You pick (2n − 3) apples, and your friend picks (n + 4) apples. How many apples do you and your friend pick together?

3n + 1

400

2(d-10)-3(d-6)

-d-2

400

((12times-5))/-10 times -9

-54

400

You want to buy a bicycle with your friend. You have $43.50 saved and plan to save an additional $7.25 every week. Your friend has $24.50 saved and plans to save an additional $8.75 every week.

Write an expression that represents the amount of money you and your friend save after w weeks.

16w + 68

500

You Buy the same number of brushes, rollers, and paint. 

Brush = 3.99 Roller = 6.89 Paint 21.79

Write an expression in simplest form that represents the total amount of money you spend on painting supplies and find out how much you spend if you get three of each. 

32.67x and 98.01

500

Greenland has a population of x people. Barbados has a population of about 4500 more than 5 times the population of Greenland. Write an expression that represents the difference in the populations of these two countries.

4x + 4500

500

Predict whether the instructions below will produce equivalent expressions. Then show whether your prediction is correct.

Subtract 3 from n, add 3 to the result, and then triple that expression.

Subtract 3 from n, triple the result, and then add 3 to that expression.

No 

Expression 1 is 3n

Expression 2 is 3n + 6

500

\frac{(-180 \div 18) \cdot -8}{4} \div (-125 \div 25)

-4

500

A three-dimensional printing pen uses heated plastic to create three-dimensional objects. A kit comes with one 3D-printing pen and p packages of plastic. An art club purchases 6 identical kits for (180 + 58.5p) dollars. Write and interpret an expression that represents the cost of one kit.

9.75p + 30

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