12/09 & 12/10 - Multi-Step Equations Exit Ticket

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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 to manipulate the equation so that the variable is on one side of the equation by itself, making it easier to solve.

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 solve the equation 3(x - 1) = 2x + 9?

Back

First, distribute: 3x - 3 = 2x + 9. Then, subtract 2x from both sides: x - 3 = 9. Finally, add 3 to both sides: x = 12.

Front

What is a solution to an equation?

Back

A solution to an equation is a value that, when substituted for the variable, makes the equation true.

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What does it mean to check your solution?

Back

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

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What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression, such as in 4x, where 4 is the coefficient.

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What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, such as 2x and 3x.

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How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 2x + 3x = 5x.

Front

What is the first step in solving a multi-step equation?

Back

The first step is often to simplify both sides of the equation by distributing and combining like terms.