MTH 122 Vocab

Question 1

algebraic term

Answer 1

A collection of factors that may include numbers, variables, or expressions with parentheses.

Some examples:

1. 3
2. -6P
3. 5xy
4. -8n²
5. n
6. 2(x+3)

Question 2

constant term

Answer 2

A term that consists of a single nonvariable number.

Question 3

variable term

Answer 3

A term that contains a variable.

Question 4

numerical coefficient

Answer 4

Also called the coefficient - The constant factor of a term.

Question 5

algebraic expression

Answer 5

A single term or a sum or difference of terms.

Question 6

Evaluating Algebraic Expressions

Answer 6

1. Replace each variable with open parentheses ( ).
2. Substitute the values given for each variable.
3. Simplify using the order of operations.

Question 7

vertical format

Answer 7

The original expression written first, the substitutions shown next, followed by the simplified foms and the final result.

Question 8

input values

Answer 8

The numbers substituted or “plugged into” the expression.

Question 9

output values

Answer 9

The result derived from substitution.

Question 10

Real Numbers

Communtative Property of Multiplication

Answer 10

a • b = b • a

Factors can be multiplied in any order without changing the product.

Question 11

Real Numbers

Communtative Property of Addition

Answer 11

a + b = b + a

Terms can be combined in any order without changing the sum.

Question 12

Real Numbers

Associative Property of Addition

Answer 12

Given a, b, and c represent real numbers:

(a + b) + c = a + (b + c)

Terms can be regrouped.

Question 13

Real Numbers

Associative Property of Multiplication

Answer 13

Given a, b, and c represent real numbers:

(a • b) • c = a • (b • c)

Factors can be regrouped.

Question 14

additive identity

Answer 14

0 for any real number x where x+0 = x.

Question 15

multiplicative identity

Answer 15

1 for any real number x where 1 • x = x.