Algebra 1 EOC Review

Front

Find the vertex of the quadratic function f(x) = ax^2 + bx + c.

Back

The vertex of a quadratic function in the form f(x) = ax^2 + bx + c can be found using the formula: Vertex (h, k) where h = -b/(2a) and k = f(h).

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality. It can be represented on a number line or in interval notation.

Front

Write an equation for a linear function given a starting point and a rate of change.

Back

The equation can be written in the form y = mx + b, where m is the rate of change (slope) and b is the y-intercept (starting point).

Front

How do you solve a linear equation for x?

Back

To solve a linear equation for x, isolate x on one side of the equation by performing inverse operations on both sides.

Front

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

Back

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

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

How do you determine if a point is part of the solution set of an inequality?

Back

To determine if a point is part of the solution set, substitute the point's coordinates into the inequality and check if the statement is true.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts of a quadratic function, set f(x) = 0 and solve for x using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.