Algebra 1 SOL Review Part 1

Front

What is an ordered pair in the context of a coordinate system?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x, y).

Front

How do you determine if an ordered pair is a solution to an equation?

Back

Substitute the x and y values of the ordered pair into the equation. If the equation holds true, then the ordered pair is a solution.

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 result from substituting the domain values (x-values) into the function.

Front

What is a function?

Back

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

Front

How do you find the slope of a line from its equation?

Back

To find the slope, rewrite the equation in slope-intercept form (y = mx + b), where m is the slope.

Front

What does the slope of a line represent?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

How do you solve a quadratic equation using factoring?

Back

To solve by factoring, express the quadratic in the form (x - p)(x - q) = 0, then set each factor to zero and solve for x.

Front

What are the x-intercepts of a graph?

Back

The x-intercepts are the points where the graph crosses the x-axis, found by setting y = 0 in the equation.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation (opening up or down).