Semester Exam Review

Front

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

Back

Front

How do you find the equation of a line parallel to a given line?

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and substitute the coordinates of the point through which the new line passes.

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution when the lines represented by the equations are parallel and never intersect.

Front

What is the meaning of an infinite number of solutions in a system of equations?

Back

An infinite number of solutions occurs when the equations represent the same line, meaning every point on the line is a solution.

Front

How do you determine the price of pizza based on the number of toppings?

Back

The price can be modeled by a linear function, where the slope represents the cost per topping and the y-intercept represents the base price.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not 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 does the graph of an inequality represent?

Back

The graph of an inequality represents all the solutions that satisfy the inequality, often shown as a shaded region on a coordinate plane.

Front

What is the significance of the y-intercept in a linear equation?

Back

Front

How do you interpret the slope of a line?

Back