Warm UP Review Like Terms, Distribution and Evaluation

Front

What are like terms in an expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, in the expression 5x + 2x, both terms are like terms because they both contain the variable x.

Front

How do you simplify the expression 5a + 2b - 3a + 4?

Back

To simplify, combine like terms: (5a - 3a) + 2b + 4 = 2a + 2b + 4.

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Back

The result is -3c.

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How many terms are in the expression 5x³ - 7x + 11?

Back

There are 3 terms in the expression.

Front

Evaluate the expression 2x + 3 + x^2 for x = 4.

Back

Substituting x = 4 gives: 2(4) + 3 + (4)^2 = 8 + 3 + 16 = 27.

Front

What is the definition of distribution in mathematics?

Back

Distribution refers to the property that allows you to multiply a single term by each term in a sum or difference. For example, a(b + c) = ab + ac.

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Back

The simplified form is 5x.

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Identify the like terms in the expression 7x + 8 - 6x^2 + 2x.

Back

The like terms are 7x and 2x.

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The result is 2x + 8.

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Back

Substituting x = 2 gives: 3(2)^2 + 2(2) - 5 = 12 + 4 - 5 = 11.