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 a factor across a sum.

Front

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

Back

10x + 7

Front

What is the result of combining 3a^2 + 6a + 5a^2?

Back

8a^2 + 6a

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 eliminating unnecessary parentheses.

Front

What is the equivalent expression for z + z^2 + 1?

Back

1 + z + z^2

Front

How do you apply the distributive property to 7(3a + 4b)?

Back

7(3a + 4b) = 21a + 28b

Front

What is the equivalent expression for 12(5 - 4x)?

Back

60 - 48x

Front

What is a coefficient in an algebraic expression?

Back

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