Simplifying Algebraic Expressions

Front

What is the process of simplifying an algebraic expression?

Back

The process of simplifying an algebraic expression involves combining like terms, applying the distributive property, and reducing the expression to its simplest form.

Front

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.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 2a + 3a = 5a.

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.

Front

How do you simplify the expression -r - 10r?

Back

Combine like terms: -r - 10r = -11r.

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

Back

Combine like terms: (5a - 3a) + 2b + 4 = 2a + 2b + 4.

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What is the result of simplifying the expression 3x + 2x?

Back

Combine like terms: 3x + 2x = 5x.

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How do you simplify the expression -5(x + 4)?

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Apply the distributive property: -5(x + 4) = -5x - 20.

Front

What is the result of simplifying the expression 3h + 7(2 + 4h)?

Back

First, apply the distributive property: 3h + 7*2 + 7*4h = 3h + 14 + 28h. Then combine like terms: 3h + 28h + 14 = 31h + 14.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.