Chapter 3 Review

Vocabulary

100

Define "Coefficient"

The number in front of a variable in an algebraic expression that gets multiplied by the variable.

200

Define "Constant".

The number in an algebraic expression without a variable.

300

Define "Simplest Form".

An algebraic expression is in simplest form when it has no like terms and no parentheses.

400

Define "Variable".

-There is no single definition.

-A letter/symbol/shape used a placeholder to represent an unknown value or number(s).

500

Define "Linear Expression".

A Linear Expression is an algebraic expression in which the exponent of each variable is one.

Simplifying Algebraic Expressions

100

4x + 3x

7x

200

10.9y - 3.4y - 5

7.5y - 5

300

6(14b + 3)

84b + 18

400

1/4 (2r - 1/4)

1/2r - 1/16

500

4w(5 + 3w) + 9w - 20

12w² + 29w - 20

Evaluating Algebraic Expressions

100

x=1 y=-3 z=8

x + 3y - z

-16

200

x=10 y=-14 z=12

zy + x²

-68

300

x=0.25 y=3 z=4.5

2xz + y

5.25

400

x=-30 y=-50 z=-25

[(xy)/2]/z

-30

500

x=18 y=-12 z=6

3[(x/z) - (y/z)]

15

Factoring Algebraic Expressions(GCF)

100

12z + 18

6(2z + 3)

200

4a - 2

2(2a - 1)

300

9x + 18y

9(x+2y)

400

26c + 13b

13(2c + b)

500

20b + 12b² + 24b³

4b(5 + 3b + 6b²)

Adding/Subtracting Linear Expressions

100

(d + 4) + (d + 3)

2d + 7

200

(8 - c) - (7 + c)

1 - 2c

300

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

-5 - 2x

400

5(3w + 9) - 7(2w + 2r)

w + 45 -14r

500

(1/2t - 3) + (1/4t + 3)

3/4t