Writing & 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. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

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What does it mean to combine like terms?

Back

Combining like terms means to add or subtract 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. It allows you to multiply a single term by each term inside a parentheses.

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

Back

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

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

The first step is to subtract 3 from both sides to isolate the term with the variable: 2x = 8.

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If 3x - 5 = 16, what is the value of x?

Back

Add 5 to both sides to get 3x = 21, then divide by 3 to find x = 7.

Front

What is the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of all three sides.

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How do you set up an equation for a word problem?

Back

Identify the unknowns, translate the words into mathematical expressions, and set up an equation based on the relationships described.

Front

What does 'eleven less than' indicate in an equation?

Back

'Eleven less than' indicates subtraction. For example, 'eleven less than a number n' is written as n - 11.