Simplifying Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What are like terms?

Back

Like terms are terms in an algebraic expression that have the same variable raised to the same power. For example, 4x and 7x are like terms.

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, 3x + 5x = 8x.

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

Simplify the expression: 9x^2 + 14x - x^2 + 6x

Back

8x^2 + 20x

Front

Simplify the expression: 8(2x + 3) - 13

Back

16x + 11

Front

Simplify the expression: 29x + 8(4y - 2x)

Back

13x + 32y

Front

Use the distributive property to simplify: 3(2c - 5)

Back

6c - 15

Front

Simplify the expression: 6(2a + 5b) + 3(a - 8b)

Back

15a + 6b

Front

What is a coefficient in an algebraic expression?

Back

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