Solving 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, often involving operations such as addition, subtraction, multiplication, and division.

Front

What is the first step in solving the equation 7x + 19 = -2x + 55?

Back

The first step is to combine like terms by adding 2x to both sides of the equation.

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How do you isolate the variable in the equation 2(4x - 3) - 8 = 4 + 2x?

Back

You first distribute the 2, then combine like terms, and finally isolate x by moving all x terms to one side and constant terms to the other.

Front

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

Back

Combining like terms means to simplify an expression by adding or subtracting 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, meaning you can distribute a factor across a sum or difference.

Front

What is the solution to the equation 5x + 15 = 10x - 40?

Back

The solution is x = 11.

Front

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

Back

The first step is to combine the like terms 4n and -6n.

Front

How do you check your solution for an equation?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is the importance of keeping the equation balanced when solving?

Back

Keeping the equation balanced ensures that any operation performed on one side must also be performed on the other side to maintain equality.

Front

What is an example of a multi-step equation?

Back

An example is 3(x + 2) - 4 = 2x + 10.