C2 Ch. 5 Expressions

Algebraic Expressions

100

Evaluate the expression 3(9-16).

Use the Distributive Property.

3(9-16)

3(9) - 3(16)

27 - 48

-21

200

Evaluate 4b-6d if b=7 and d=3

4b - 6d

4(7) - 6(3)

28 - 18

10

300

Evaluate 8b/a if b = 8 and a = 2

8b/a

8(8)/2

64/2

32

400

Write an expression to represent the total number of legs on h horses and c chickens. How many legs are there in 5 horses and 6 chickens.

4h + 2c

4(5) + 2(6)

20 + 12

32 legs

500

The expression 9/5 (C) + 32, where C stands for temperature in degrees Celsius, is used to convert Celsius to Fahrenheit.  If the temperature is 20 degrees Celsius, find the temperature in degrees Fahrenheit.

9/5 (C) + 32

9/5 (20) + 32

180/5 + 32

36 + 32 = 68 degrees Fahrenheit

Properties

100

What property is represented:

0 + 2s = 2s

Additive Identity

200

What property is represented:

2p + (3q+2) = (2p + 3q) + 2

Associative Property of Addition

300

Simplify using the properties:

2d(3)

6d

400

Simplify using the properties:

2y + (4 + 5y)

(2y + 5y) + 4

7y + 4

500

Use the Distributive Property to evaluate the expression:

-3(-7 +2 )

-3(-7 + 2)

-3(-7) + -3(2)

21 + (-6)

15

Simplify

100

Simplify h + 6h

7h

200

Simplify

3b + 9 + 4b

7b + 9

300

Simplify

5g - 2g - 14g + h

5g + (-2g) + (-14g) + h

-11g + h

400

Simplify   -y + 4z - 10y + z

-y + (-10y) + 4z + z

-11y + 5z

500

(-3/4)y - 1/3 + (7/8)y - 1/2

(1/8)y - 5/6

Add & Subtract Linear Expressions

100

(-3x + 15) - (-3x + 2)

13

200

(-7x -14) + (x - 6)

-6x - 20

300

(2x - 4) - (-x + 9)

3x - 13

400

(12x + 3) + (-7x +5)

5x + 8

500

(0.5x - 0.6) + (0.75x - 0.1)

1.25x - 0.7

Factor Linear Expressions

100

Find the GCF of 8xy and 14x

2x

200

Find the GCF of 27abc and 81b

27b

300

Factor the expression

48 + 24x

24(2 + x)

400

72 - 18x

18(4 - x)

500

100x + 150

50(2x + 3)