Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression, even though it may look different.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute the multiplication over addition.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

Simplify: 6(x + y + 7)

Back

6x + 6y + 42

Front

Which expression is equivalent to 9(5c + 4)?

Back

45c + 36

Front

Rewrite using distributive property: 16 + 24

Back

8(2 + 3)

Front

What does it mean to 'increase by' in an expression?

Back

To 'increase by' means to add a certain amount to a number or variable.

Front

Translate to an expression: Three times a number increased by nine.

Back

3h + 9

Front

Which expression is equivalent to 36 + 42 using GCF?

Back

6(6 + 7)

Front

What is the first step in simplifying an expression using the distributive property?

Back

Identify the term outside the parentheses and multiply it by each term inside the parentheses.