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

What is the equivalent expression for 7s + 8t + 10s + 12t?

Back

17s + 20t

Front

What is the equivalent expression for 4h + (7 + 11h)?

Back

15h + 7

Front

Use the distributive property to generate an equivalent expression for 3.5(w + 7).

Back

3.5w + 24.5

Front

What is the equivalent expression for 7k + 4 + 2k?

Back

9k + 4

Front

Use the distributive property to write an equivalent expression for 4m + 4p.

Back

4(m + p)

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 a coefficient in an algebraic expression?

Back

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