Chapter 1: Expressions, Equations, and Functions

Question 1

Variable

Answer 1

A letter that is used to represent one or more numbers.

Question 2

Algebraic expression

Answer 2

An expression that includes at least one variable. Also called variable expression.

Question 3

Evaluate an algebraic expression

Answer 3

To find the value of an algebraic expression by substituting a number for each variable and preforming the operation(s).

Question 4

Power

Answer 4

An expression that represents repeated multiplication of the same factor.

Question 5

Exponent

Answer 5

The number or variable that represents the number of times that base of a power is used as a factor.

Question 6

Base of a power

Answer 6

The number or expression that is used as a factor in a repeated multiplication.

Question 7

Order of operations

Answer 7

Rules for evaluating an expression involving more than one operation.

Question 8

Verbal model

Answer 8

A verbal model describes a real-world situation using words as labels and using math symbols to relate the words.

Question 9

Rate

Answer 9

A fraction that compares two quantities measured in different units.

Question 10

Unit rate

Answer 10

A rate in which the denominator of the fraction is 1 unit.

Question 11

Equation

Answer 11

A mathematical sentence formed by placing the symbol = between two expressions.

Question 12

Inequality

Answer 12

A mathematical sentence formed by placing the symbols , greater than or equal to between two expression.

Question 13

Open sentence

Answer 13

An equation or an equality that contains an algebraic expression.

Question 14

Solution of an equation in one variable

Answer 14

A number that produces a true statement when substituted for the variable in an equation.

Question 15

Solution of an inequality in one variable

Answer 15

A number that produces a true statement when substituted for the variable in an inequality.

Question 16

Formula

Answer 16

An equation that relates two or more quantities.

Question 17

Precision

Answer 17

The level of detail that an instrument can measure.

Question 18

Significant digits

Answer 18

The digits used to express the precision of a measurement.

Question 19

Function

Answer 19

A function consists of:

• A set called the domain containing numbers called inputs, and a set called the range containing numbers called outputs.
• A pairing of inputs with outputs such that each input is paired with exactly one output.

Question 20

Domain of a function

Answer 20

The set of all inputs of a function/The input, also known as x, that only has one output and is an independent variable.

Question 21

Range of a function

Answer 21

The set of all outputs of a function/The output, also known as y, and can have more than one input and is a dependent variable.

Question 22

Independent variable

Answer 22

The input variable of a function and stays the same no matter what.

Question 23

Dependent variable

Answer 23

The output variable of a function and changes depending on the input/x/independent variable.