Distribute and Combine Like Terms

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What does it mean to distribute in algebra?

Back

Distributing in algebra means to multiply a term by each term inside a set of parentheses. For example, in the expression a(b + c), you would calculate it as ab + ac.

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What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

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How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of the terms that are alike. For example, 3x + 5x = 8x.

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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 multiple terms inside parentheses.

Front

Solve: -4a - 3(10a - 1)

Back

-34a + 3

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Solve: -3x - 10(9 - 6x)

Back

57x - 90

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Solve: -2(7x^2 - 3x^2) + 3x^3 - 7

Back

3x^3 - 8x^2 - 7

Front

What is the first step in distributing a negative sign?

Back

When distributing a negative sign, you multiply each term inside the parentheses by -1. For example, -1(a + b) becomes -a - b.