Simplifying Expressions

Front

What is the process of simplifying an expression?

Back

The process of simplifying an expression involves combining like terms and performing any operations to reduce the expression to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Simplify: 11x + 12y + 1y + 10x - 2

Back

13y + 21x - 2

Front

Simplify: 5x - 6x - 8x + 7

Back

-9x + 7

Front

Simplify the expression: 2x + 1 + 7x

Back

9x + 1

Front

Simplify: 5a + 2b + 6a + 4b

Back

11a + 6b

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a set of parentheses.

Front

Simplify: 5(2 - 7n)

Back

10 - 35n

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent, simplifying the expression.