Algebraic Expressions

Example 1: Identifying Parts of an Algebraic Expressions

100

What are the constants in the following expression?

2x+1-y^2

1

200

What are the variable terms in the following expression?

2x+1-y^2

2x

and 

-1y^2

300

What are the coefficients in the following expression?

2x+1-y^2

2, -1

400

What are the coefficients in the following expression?

a^3+9-1/4b

1

and 

-1/4

500

Label all the variable terms, constants, and coefficients in the following expression?

a^4+10-1/2b

variable terms: a⁴ and -1/2b

constants: 9

coefficient: 1, -1/2

Example 2: Writing Algebraic Expressions Using Exponents or Coefficients

100

Simplify/Rewrite the expression using exponents or variable terms:

1*1*1*1

1⁴

200

Simplify/Rewrite the expression using exponents or variable terms:

m xx m xx m xx m xx m xx m

m⁶

300

Simplify/Rewrite the expression using exponents or variable terms:

1+1+l+l+l+l

2(1)+4(l) = 2+4l

400

Simplify/Rewrite the expression using exponents or variable terms:

2*2*2*z*z

2^3*z^2

500

Simplify/Rewrite the expression using exponents or variable terms:

g*g*g*g+g+g+g+g

g^4+4g

Example 3: Evaluating Algebraic Expressions

100

Evaluate a + 76 when a = 34

110

200

Evaluate b-9 when b = 34

25

300

Evaluate 6c when c = 34

204

400

Evaluate 76/d when d = 4

19

500

Evaluate 7.6e when e = 0.4

3.04

Example 4: Evaluating an Expression with Two Variables

100

Evaluate f + g when f = 5 and g = 8

13

200

Evaluate h - i when h = 15 and i = 7

8

300

Evaluate jk when j = 23 and k = 7

161

400

Evaluate t/m when t = 96 and m = 6

16

500

Evaluate a+b+c when a =40, b=83, c =5

128

Example 5: Evaluating Expressions with Two Operations

100

Evaluate 11n+68 when n=5

123

200

Evaluate 27 - p/3 when p= 45

12

300

Evaluate 51-3q when q=7

30

400

Evaluate 5r+s³ when r =5 and s=3

52

500

Evaluate t³ - 2u+1 when t = 4 and u = 5

55