Equivalent Expressions

Front

What is an equivalent expression?

Back

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

Front

Simplify the expression: 3x + 3(2x - 7)

Back

9x - 21

Front

What does it mean to simplify an expression?

Back

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

Front

Which expression is equivalent to 12x - 16?

Back

4(3x - 4)

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: 3(2x + 8)

Back

6x + 24

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, which can be combined by adding or subtracting their coefficients.

Front

Simplify the expression: 3x + 4x + 6(x - 3) + 4

Back

13x - 14

Front

Which expression is equivalent to 10x - 16?

Back

8(2x - 2) - 6x

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression, representing how many times the variable is multiplied.