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

Simplify: 3 - 2a + 3a + 5a

Back

6a + 3

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2a and 3a are like terms.

Front

Simplify: 9z - 21 - 3z + 10

Back

6z - 11

Front

What does it mean to combine like terms?

Back

Combining like terms means adding or subtracting the coefficients of terms that have the same variable.

Front

Simplify: 6b + 7b - 10

Back

13b - 10

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.

Front

Simplify: 4(x + 3) - 5

Back

4x + 7

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 parenthesis.

Front

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

Back

-9x + 7