Simplifying Algebraic Expressions - REVIEW

Front

What is a like term 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 4x^2 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, 4x + 3x = 7x.

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 parenthesis.

Front

Expand the expression using the distributive property: 3(2x + 4)

Back

6x + 12.

Front

What does it mean to simplify an expression?

Back

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

Front

Simplify the expression: 5x + 3x - 2x

Back

6x.

Front

What is the result of simplifying the expression: 8y - 3y + 2?

Back

5y + 2.

Front

Expand the expression: -2(3x - 4)

Back

-6x + 8.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 5x, 5 is the coefficient.

Front

What is the first step in simplifying the expression: 4x^2 + 2x - 3x + 7?

Back

Combine like terms: 4x^2 - x + 7.