Solve equations with variables on both sides

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to find the value of the variable that makes both sides of the equation equal, often requiring rearranging the equation to isolate the variable.

Front

How do you check if a number is a solution to an equation?

Back

Substitute the number into the equation in place of the variable and see if both sides of the equation are equal.

Front

What is the first step in solving the equation 10x + 9 = 4x - 9?

Back

Subtract 4x from both sides to collect the variable terms on one side.

Front

What is the solution to the equation 9 + 2a = -3 - 4a?

Back

The solution is a = -2.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to move all terms involving the variable to one side and constant terms to the other side.

Front

What does it mean to collect like terms in an equation?

Back

It means to combine terms that have the same variable raised to the same power.

Front

What is the solution to the equation 3a - 24 = -a?

Back

The solution is a = 6.

Front

What is the purpose of rearranging an equation?

Back

To simplify the equation and make it easier to isolate the variable.

Front

What is the first step to take in the equation 1 + 4n = 10 - 14n?

Back

Collect the variable terms (4n and -14n) on one side of the equation.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.