Solve 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, even when the variable appears on both sides of the equation.

Front

What is the first step in solving the equation 4(5a - 8) = 4(a + 6)?

Back

Distribute the 4 on both sides: 20a - 32 = 4a + 24.

Front

How do you isolate the variable in the equation 20a - 32 = 4a + 24?

Back

Subtract 4a from both sides to get 16a - 32 = 24.

Front

What is the next step after isolating the variable in 16a - 32 = 24?

Back

Add 32 to both sides to get 16a = 56.

Front

How do you find the value of 'a' in the equation 16a = 56?

Back

Divide both sides by 16 to get a = 3.5.

Front

What does it mean if an equation has 'All real numbers' as a solution?

Back

It means that any value for the variable will satisfy the equation.

Front

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

Back

All real numbers.

Front

What is the significance of having 'No solution' in a linear equation?

Back

It indicates that there is no value for the variable that can satisfy the equation.

Front

What is the solution to the equation 6(y - 2) = 6 + 9(y - 2)?

Back

0.