Chapter 7 Test: Algebra

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, using an equal sign (e.g., 2x + 3 = 7). An expression does not have an equal sign.

Front

What is a function in algebra?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x) = mx + b.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It is calculated as rise over run.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is a sequence in mathematics?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

Front

What is the difference between a linear and a nonlinear function?

Back

A linear function creates a straight line when graphed, while a nonlinear function creates a curve.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of input (x) and output (y) values that correspond to a function.

Front

What is the purpose of graphing a function?

Back

Graphing a function visually represents the relationship between the input and output values, making it easier to analyze.