Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

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 solution to the equation x - 8 = -5?

Back

The solution is x = 3.

Front

How do you check if your solution to an equation is correct?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is the first step to solve the equation 10 = 3x - 12?

Back

The first step is to add 12 to both sides to get 22 = 3x.

Front

What is the solution to the equation 2x + 5 = 12?

Back

The solution is x = 3.5.

Front

What is the process to solve the equation 4x + 1 = 7x - 5?

Back

Subtract 4x from both sides to get 1 = 3x - 5, then add 5 to both sides to find x.

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

What is the solution to the equation 8x + 4y = 16 for y?

Back

The solution is y = -2x + 4.