Solving Equations

Front

What is a linear equation?

Back

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 that make the equation true.

Front

What is the solution to the equation -7x - 11 = 3?

Back

The solution is x = -2.

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 in solving the equation 3 = 5x - 12?

Back

The first step is to add 12 to both sides to isolate the term with x.

Front

What is the equation representing Olivia's pen purchase?

Back

The equation is 43.73 = 12.5 + 9x.

Front

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

Back

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

Front

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

Back

Front

What is the solution to the equation 3 = 5x - 12?

Back

The solution is x = 3.