Solving Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

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What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

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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 addition property of equality?

Back

The addition property of equality states that if you add the same number to both sides of an equation, the two sides remain equal.

Front

What is the subtraction property of equality?

Back

The subtraction property of equality states that if you subtract the same number from both sides of an equation, the two sides remain equal.

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What is the multiplication property of equality?

Back

The multiplication property of equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal.

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What is the division property of equality?

Back

The division property of equality states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.

Front

How do you solve the equation 5x - 6 = 2x + 3?

Back

First, combine like terms: 5x - 2x = 3 + 6, which simplifies to 3x = 9. Then, divide both sides by 3 to get x = 3.

Front

What is the first step in solving the equation 24x + 18(x - 2) = 216?

Back

The first step is to apply the distributive property: 18(x - 2) becomes 18x - 36.

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What does it mean to isolate the variable?

Back

Isolating the variable means manipulating the equation to get the variable alone on one side of the equation.