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 variables involved.

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

How do you find the GCF (Greatest Common Factor) of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 30 and 18?

Back

The GCF of 30 and 18 is 6.

Front

Use the distributive property to simplify: 4(m + p). What is the result?

Back

4(m + p) = 4m + 4p.

Front

What is the equivalent expression for 3.5(w + 7)?

Back

3.5(w + 7) = 3.5w + 24.5.

Front

Combine like terms: 7s + 8t + 10s + 12t. What is the result?

Back

17s + 20t.

Front

Combine like terms: 14h + 30k - 12h. What is the result?

Back

2h + 30k.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by + or - signs.