Nicodemus Chapter 6A Re-test

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

How do you represent a situation with an equation?

Back

To represent a situation with an equation, identify the quantities involved, assign variables to them, and express the relationships using mathematical operations.

Front

What does 'x' typically represent in equations?

Back

In equations, 'x' usually represents an unknown value that we are trying to solve for.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve for 'x' in an equation?

Back

To solve for 'x', isolate 'x' on one side of the equation using inverse operations to simplify the equation.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions to the system are the values that satisfy all equations simultaneously.

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set, meaning they represent the same line when graphed.

Front

How can you check if your solution for 'x' is correct?

Back

You can check your solution by substituting the value of 'x' back into the original equation to see if both sides are equal.

Front

What is the process of graphing a linear equation?

Back

To graph a linear equation, find two or more points that satisfy the equation and plot them on a coordinate plane, then draw a straight line through the points.