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

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute the multiplication over addition.

Front

What is the result of combining 3x + 5 + 7x + 2?

Back

10x + 7

Front

What is the result of applying the distributive property to 4(x + 6)?

Back

4x + 24

Front

What is the result of applying the distributive property to 12(5 - 4x)?

Back

60 - 48x

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and applying the distributive property.

Front

What is the result of simplifying z + z^2 + 1?

Back

1 + z + z^2

Front

What is the result of applying the distributive property to 7(3a + 4b)?

Back

21a + 28b

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.