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 t - 27 = 4t?

Back

The first step is to get all terms containing the variable t on one side of the equation.

Front

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

Back

v = 2.4

Front

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

Back

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

Front

What does it mean if an equation has infinite solutions?

Back

It means that any value of the variable will satisfy the equation, indicating that the two sides of the equation are equivalent for all values.

Front

What is the solution to the equation 3(x-8)=3x-24?

Back

Infinite Solutions

Front

What is the solution to the equation 13x = 32 + 5x?

Back

x = 4

Front

What is the solution to the equation 12 - 5k = k + 6?

Back

k = 1