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

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to move all terms involving the variable to one side of the equation and constant terms to the other side.

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 set of parentheses.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 5(2x - 2) - 5x + 2 = 37?

Back

The first step is to apply the distributive property to eliminate the parentheses: 10x - 10 - 5x + 2 = 37.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

What is the solution to the equation 3(x + 7) = 48?

Back

The solution is x = 9.

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How do you solve the equation 2(3y + 3) = 24?

Back

First, apply the distributive property to get 6y + 6 = 24, then isolate y to find y = 3.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

What is the process for solving the equation -3(2x + 1) + 2x + 1 = 10?

Back

First, distribute -3 to get -6x - 3 + 2x + 1 = 10, then combine like terms and isolate x to find x = -3.