Algebra Semester 1 Final Review 2024

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What does it mean for a relation to be a function?

Back

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

Front

What are the four quadrants of the Cartesian plane?

Back

Quadrant I: (+,+), Quadrant II: (-,+), Quadrant III: (-,-), Quadrant IV: (+,-).

Front

How do you combine like terms in an expression?

Back

Combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals, indicating whether endpoints are included or excluded.

Front

What is the solution to the inequality -5 < x ≤ 6 in interval notation?

Back

(-5, 6]

Front

What is the difference between an open interval and a closed interval?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints.

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

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.