Algebra 1 2025 EOC Review (Almost Everything!)

Front

What is a vertical translation in graph transformations?

Back

A vertical translation shifts the graph of a function up or down without changing its shape. For example, a vertical translation up 2 means every point on the graph moves up by 2 units.

Front

What does the inequality -9 < x ≤ 2 represent?

Back

This inequality indicates that x can take any value greater than -9 and up to and including 2. It defines a range of values for x on a number line.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms. For example, to add (x³ - 2x² + 3) and (2x³ + 3x² - 1), combine x³ terms, x² terms, and constant terms to get 3x³ + x² + 2.

Front

What is the solution to the equation 97 = -3(6n - 5) - 8?

Back

To solve for n, first simplify the equation: 97 = -18n + 15 - 8. Then, isolate n to find n = -5.

Front

What is the vertex of the function f(x) = -|x - 3|?

Back

The vertex of the function is the point where the graph changes direction. For f(x) = -|x - 3|, the vertex is (3, 0).

Front

What is a horizontal translation in graph transformations?

Back

A horizontal translation shifts the graph of a function left or right. For example, a horizontal translation left 2 means every point on the graph moves left by 2 units.

Front

What is the difference between an open and closed interval?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints. For example, (a, b) is open, and [a, b] is closed.

Front

How do you factor the polynomial x² - 5x + 6?

Back

To factor x² - 5x + 6, find two numbers that multiply to 6 and add to -5. The factors are (x - 2)(x - 3).

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 for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.