Equivalent expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

Simplify the expression: 3x + 5 + 7x + 2

Back

10x + 7

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

Distribute: 4(x + 6)

Back

4x + 24

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 two or more terms inside a set of parentheses.

Front

Simplify the expression: 7(3a + 4b)

Back

21a + 28b

Front

Distribute: 6(2x - 3)

Back

12x - 18

Front

What is the result of distributing a negative sign?

Back

Distributing a negative sign changes the signs of the terms inside the parentheses.

Front

Simplify the expression: 12(5 - 4x)

Back

60 - 48x

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.