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 6(y - 2) = 6 + 9(y - 2)?

Back

Distribute the numbers outside the parentheses: 6y - 12 = 6 + 9y - 18.

Front

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

Back

0.

Front

What does it mean if an equation has 'no solution'?

Back

It means that there is no value for the variable that can 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 does it mean if an equation has 'infinitely many solutions'?

Back

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

Front

What is the solution to the equation −5 + 5(n − 7) = −40 + 5n?

Back

Infinitely many solutions.

Front

What is the process of isolating the variable in an equation?

Back

It involves performing operations to get the variable by itself on one side of the equation.

Front

What is the solution to the equation 8k − 6 = 6(k + 3) + 6k?

Back

-6.