Algebra 1 Mid-Year Test

Front

What is a variable in algebra?

Back

A symbol, often a letter, that represents one or more numbers.

Front

Define an equation.

Back

A mathematical statement that asserts the equality of two expressions.

Front

What is the purpose of solving an equation?

Back

To find the value(s) of the variable(s) that make the equation true.

Front

What does it mean to simplify an expression?

Back

To reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What is the distributive property?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by two or more terms inside a parenthesis.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the slope of a line?

Back

The measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

Front

What does the y-intercept represent?

Back

The point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

How do you identify a function from a set of ordered pairs?

Back

Check that no two different ordered pairs have the same first element (input).