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 6y + 22y + y?

Back

The result is 29y.

Front

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

Back

The result is 10x + 7.

Front

What does 7(3a + 4b) simplify to?

Back

It simplifies to 21a + 28b.

Front

What does 4(x + 6) simplify to?

Back

It simplifies to 4x + 24.

Front

What is the result of combining 3a² + 6a + 5a²?

Back

The result is 8a² + 6a.

Front

What is a coefficient in an expression?

Back

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

Front

What is a variable in an expression?

Back

A variable is a symbol (often a letter) that represents an unknown value in an expression.