equations with variables on both sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

What is the first step to solve the equation 1 + 4n - 6n = 1 - 8n?

Back

Combine like terms on the left side: 1 - 2n = 1 - 8n.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to get the variable by itself.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Solve the equation: 5y + 34 = -2(-7y + 1). What is y?

Back

y = 4.

Front

What is the first mistake in the equation 5x + 10 = 3x + 20?

Back

The first mistake is dividing by -50 when trying to isolate x.

Front

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

Back

It means that there are no values for the variable that will satisfy the equation.

Front

Back

x = -4.

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.