Algebra I Review

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value).

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable that make the equation true.

Front

What is the solution to the equation 2(a + 4) = 2a - 8 + 4a?

Back

The solution is a = 4.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

How do you solve the inequality -4x - 7 ≥ 21?

Back

To solve, isolate x: -4x ≥ 28, so x ≤ -7.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line, while a linear inequality represents a region of the coordinate plane.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean to graph a function?

Back

Graphing a function means plotting all the points (x, f(x)) on a coordinate plane.