Simplify Algebraic Expression

Front

What is a like term in algebra?

Back

A like term is a term that has the same variable raised to the same power. For example, 3a and 5a are like terms.

Front

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, 5a + 2a = 7a.

Front

What does it mean to simplify an algebraic expression?

Back

Simplifying an algebraic expression means to reduce it to its simplest form by combining like terms and eliminating parentheses.

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

Expand the expression: 3(2x + 4).

Back

6x + 12.

Front

What is the result of expanding 4(7x + 3)?

Back

28x + 12.

Front

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

Back

Combine like terms to get 2a + 2b + 4.

Front

What is the result of simplifying -3r - 6(-7 + 10r)?

Back

57r + 42.

Front

What does it mean to expand an expression?

Back

Expanding an expression means to remove parentheses by applying the distributive property.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term. For example, in 4x, 4 is the coefficient.