Algebra 1 Semester Study Guide

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean if a system of equations has no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

It means that the equations represent the same line, so every point on the line is a solution.

Front

What does it mean if a system of equations has one solution?

Back

It means that the equations intersect at exactly one point.

Front

How do you solve for a variable in an equation?

Back

Isolate the variable on one side of the equation using inverse operations.

Front

What is the formula for the perimeter of a triangle?

Back

P = a + b + c, where a, b, and c are the lengths of the sides.

Front

How do you rearrange the equation P = a + b + c to solve for c?

Back

c = P - a - b.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.