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 3x - x + 2 = 4(2x - 1)?

Back

Combine like terms on the left side: 2x + 2 = 8x - 4.

Front

How do you isolate the variable in an equation?

Back

To isolate the variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

x = 1.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that makes the equation true.

Front

What is the solution to the equation 3x - x + 4 = 4(2x + 1)?

Back

x = 0.

Front

What is the significance of the equation 8v - 4(v + 8) = 8?

Back

This equation can be simplified to find the value of v, which is v = 10.

Front

What is the solution to the equation 2 + 14a = -8 + 9a?

Back

a = -2.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value of the variable satisfies the equation.