Chapter 5: Expressions

Express Yourself

100

Three times the sum of a number f and 4

 3(f+4) 

200

The quotient of 6 and p

6/p

300

2 more than the product of a number w and 8

(8w)+2

400

5.6 less than the quantity 25.2 plus a number g

(25.2 +g)-5.6

500

Half of the difference of a letter m and 55

1/2(m-55)

Piece by Piece

100

10x + 8y - 50 - 3x

What are the coefficients? 

10, 8, -3

200

10x + 8y - 50 - 3x

What are the constants? 

-50

300

10x + 8y - 50 - 3x

What are the operations? 

x, +, -

400

10x + 8y - 50 - 3x

What are the terms? (Use commas to separate them)

10x, 8y, -50, -3x

500

10x + 8y - 50 - 3x

Simplify the expression then find the value when x=5 and y=6

7x + 8y - 50

=33

Plug it in!

100

Find the value of x+18 when x=17

35

200

Find the value of ab-8 when a=4 and b=13

44

300

Find the value of  x² + x - 3y when x=5 and y = 0

20

400

Find the value of (3w-8)² when w=4

16

500

Find the value of 2(a+2b)² - (a+b³)  when a=1 and b=2

41

(Un)distribute

100

Simplify the following expression:

8(2x+5)

16x+40

200

Factor the following expression using the GCF:

24x - 42y

6(4x-7y)

300

Simplify the following expression:

3(x+2) + 5x - 4

8x+2

400

Factor the following expression using the GCF: 

25x + 15y - 40

5(5x+3y-8)

500

Simplify the following expression:

12(a -4b) + 5(6a+10b)

42a+2b

The Rulebook

100

Which property is demonstrated below? 

(a +2) + 3 = a + (2 + 3)

Associative Property

200

Which property is demonstrated below? 

x + 8 + c = c + x + 8

Commutative Property

300

Which property is demonstrated below? 

b + 0 = b

Identity Property

400

Which property is demonstrated below? 

k(3+m) = 3k +km

Distributive Property

500

Use the math properties to simplify the following expression (You must write which property you use for each step.)

(5x + 8) + 12x + 9

(5x+8) + 9 + 12x    CP

5x + (8+9) +12x    AP

5x +12x +17          CP

17x +17