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 does it mean to isolate a variable in an equation?

Back

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

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

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation -11 + 3(b + 5) = 7?

Back

The first step is to apply the distributive property: -11 + 3b + 15 = 7.

Front

What is the solution to the equation 5(x - 3) + 2x = 27?

Back

The solution is x = 6.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that makes the equation true.

Front

What is the solution to the equation 4x + 10 = -26?

Back

The solution is x = -9.

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first in an equation.