Unit 6 - Models/Descriptions/Solving

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the slope in a linear equation?

Back

The slope is a number that describes the steepness and direction of a line. It is calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

How do you represent a situation with a linear equation?

Back

You can represent a situation with a linear equation by identifying the quantities involved and their relationships, then forming an equation based on those relationships.

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 express the solution in interval notation or graph it.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean for two costs to be equal?

Back

Two costs are equal when the total amount spent on each option is the same, allowing for comparison of different pricing structures.

Front

How do you find the point of intersection for two linear equations?

Back

To find the point of intersection, solve the system of equations simultaneously to find the values of the variables that satisfy both equations.