Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is a mathematical expression that has the same value as another expression, even though they may look different.

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

Find an equivalent expression for: 36x + 24

Back

2(18x + 12) is an equivalent expression.

Front

Which expression is equivalent to 3x + 5 + 7x + 2?

Back

10x + 7 is the equivalent expression.

Front

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

Back

The equivalent expression is 8a² + 6a.

Front

How do you apply the distributive property to 5(2f + 4)?

Back

Using the distributive property, 5(2f + 4) = 10f + 20.

Front

What is the equivalent expression for 5(2x - 3) - 3x?

Back

7x - 15 is the equivalent expression.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they yield the same result for all values of their variables.

Front

What is a coefficient in an algebraic expression?

Back

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