Multi-Step Equations (Alg I, Alg II, MM)

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 isolate a variable in an equation?

Back

To isolate a variable, you need to perform inverse operations to get the variable by itself on one side of the equation.

Front

What does it mean to 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 to solve the equation -11 + 3(b + 5) = 7?

Back

The first step is to distribute the 3 to both terms inside the parentheses: 3b + 15.

Front

What is the solution to the equation -x = 23?

Back

The solution is x = -23.

Front

How do you solve the equation -4x - 2 = 26?

Back

First, add 2 to both sides to get -4x = 28, then divide by -4 to find x = -7.

Front

What is the sum of the angle measures in a triangle?

Back

The sum of the angle measures in a triangle is always 180°.

Front

What is the correct first step to solve 5 + 2(n + 1) = 2n?

Back

The correct first step is to distribute the 2 to both terms inside the parentheses: 2n + 2.

Front

What does it mean to have an undefined solution in an equation?

Back

An undefined solution occurs when an equation has no possible values for the variable that satisfy it.