Solving Linear Equations With Variables On Both Sides

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 with variables on both sides?

Back

It means to find the value of the variable that makes the equation true, where the variable appears on both sides of the equation.

Front

How do you isolate a variable in a linear equation?

Back

To isolate a variable, you perform inverse operations to get the variable on one side of the equation and the constants on the other.

Front

What is the first step in solving the equation 8d - 25 = 3d?

Back

The first step is to get all terms containing the variable d on one side of the equation. You can do this by subtracting 3d from both sides.

Front

What is the solution to the equation 8d - 25 = 3d?

Back

d = 5.

Front

What is the solution to the equation 9m + 14 = 2m?

Back

m = -2.

Front

What is the solution to the equation 16.8 - v = 6v?

Back

v = 2.4.

Front

What is the solution to the equation 4k + 24 = 6k - 10?

Back

k = 17.

Front

What is the solution to the equation 11z - 5 = 9z + 7?

Back

z = 6.

Front

What is the importance of checking your solution in a linear equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.