Multi-Step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

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

Back

The first step is to apply the distributive property to simplify the left side of the equation.

Front

What is the solution to the equation -(n - 8) = -2?

Back

The solution is n = 10.

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What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that make the equation true.

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions if any value for the variable satisfies the equation.

Front

How do you solve the equation 3a + 9 + 4a = 2?

Back

Combine like terms to get 7a + 9 = 2, then isolate a to find a = -1.

Front

What is the solution to the equation -15 = 5a + 12 - 2a + 6?

Back

The solution is a = -11.