Algebra 1 Mid-Year Review

Front

What is the definition of a linear equation?

Back

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. A positive slope indicates the line rises, while a negative slope indicates it falls.

Front

What is the y-intercept of a linear equation?

Back

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept (b) on the y-axis, use the slope (m) to find another point, and draw a straight line through these points.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or equal to the other.

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign, similar to solving an equation, and then graph the solution on a number line.

Front

What is the difference between a solid line and a dashed line when graphing inequalities?

Back

Front

What does it mean for a line to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.

Front

What does it mean for a line to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means one slope is the negative reciprocal of the other.