Show:
3.1 Algebraic Expressions
3.2 Writing Expressions
3.3 Properties of Add/Mult.
3.4 Distributive Property
3.4 EXT Factoring Exp.
100

Identify the term(s), coefficient(s), and constant(s) in the following expression:

3f2 + 21

terms: 3f2, 21

coefficient: 3

constant: 21

100

Write the phrase as an expression:

8 fewer than a number g

g - 8

100

State which property the statement illustrates:

b + 0 = b

Addition Property of Zero

100

Simplify the expression:

3(12x - 22)

36x - 66

100

Factor using the Greatest Common Factor:

18-12

6(3 - 2)

200

Evaluate the expression for x= 3 and y = 5.


4y - 3x

(4 x 5) - (3 x 3)

20 - 9 

11

200

Write the phrase as an expression:

5 times a number z

5z 

200

State which property the statement illustrates:

3 + 7 = 7 + 3

Commutative Property of Addition 

200

Simplify the expression:

3(8k + 7) - 5

24k + 16

200

Factor using the Greatest Common Factor:

100-80

20(5 - 4)

300

Identify the term(s), coefficient(s), and constant(s) in the following expression:

2h3 + h + 9

terms: 2h3, h, 9

coefficients: 2, 1

constant: 9

300

Write the phrase as an expression:


The sum of 13 and a number y.

13 + y

or

y + 13

300

State which property the statement illustrates:

m x 1 = m

Multiplication Property of One

300

Simplify the expression:

g + 3(3g - 2)

10g - 6

300

Factor using the Greatest Common Factor:

15x + 6

3(5x + 2)

400

Evaluate the expression for x=4 and y=10.

x3 - 2y

43 - (2 x 10)

64 - 20

44

400

Write the phrase as an expression:


25 less than the quotient of 120 and a number q

(120 / q) - 25

400

State which property the statement illustrates:

(4 + 5) + 7 = 4 + (5 + 7)

Associative Property of Addition

400

Simplify the expression:

11w + 19 + 3w - 13

14w + 6

400

Factor using the Greatest Common Factor:

14x - 98

14(x - 7)

500

Evaluate the expression for x = 8 and y = 6


8y + 12(x)

8 x 6 + 12 x 8

48 + 96

144

500

Write the phrase as an expression:

The product of 22 and p increased by 28

(22 x p) + 28

or

28 + (22p)

500

State which property the statement illustrates:

b x 6 = 6 x b

Commutative Property of Multiplication

500

Simplify the expression:

6(4x + 3) + 2(x - 5)

24x + 18 + 2x - 10

26x + 8

500

Factor using the Greatest Common Factor:

48y + 54x

6(8y + 9x)