Solving Linear Equations

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 ax + b = c, where a, b, and c are constants.

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 2x + 3 = 7?

Back

The first step is to subtract 3 from both sides of the equation.

Front

What is the solution to the equation 2x + 3 = 7?

Back

The solution is x = 2.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

Front

What does the term 'constant' mean in a linear equation?

Back

A constant is a fixed value that does not change, represented by numbers in the equation.

Front

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

Back

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

Front

How do you find the slope of a line from a linear equation?

Back

The slope can be found from the coefficient of x in the slope-intercept form of the equation.

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4, which is the point where the line crosses the y-axis.

Front

What does it mean if two linear equations are parallel?

Back

Two linear equations are parallel if they have the same slope but different y-intercepts.