Semester Exam Review - Algebra Honors

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect.

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How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

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What does it mean for a graph to represent y as a function of x?

Back

Each input (x-value) has exactly one output (y-value). A vertical line test can be used to determine if a graph is a function.

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What is an inequality?

Back

A mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

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How do you graph the inequality y > x - 4?

Back

1. Graph the line y = x - 4 as a dashed line. 2. Shade the area above the line to represent all points where y is greater than x - 4.

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What is the distributive property?

Back

A property that states a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a parenthesis.

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

Back

A linear equation graphs to a straight line and has no variables raised to a power greater than one. A nonlinear equation does not graph to a straight line.

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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.

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

Back

Use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

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What does it mean for two lines to be parallel?

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