Properties of Operations - Simplifying Expressions

Front

What is the associative property of addition?

Back

The associative property of addition states that the way in which numbers are grouped when adding does not change the sum. For example, (a + b) + c = a + (b + c).

Front

How do you apply the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. This means you multiply the term outside the parentheses by each term inside the parentheses.

Front

What is the commutative property of addition?

Back

The commutative property of addition states that the order in which numbers are added does not change the sum. For example, a + b = b + a.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = 8x.

Front

What is the result of simplifying the expression 5 + (2 + x) using the associative property?

Back

5 + (2 + x) simplifies to 5 + 2 + x, which equals 7 + x.

Front

How do you simplify the expression 5(2x + 3) using the distributive property?

Back

5(2x + 3) simplifies to 5 * 2x + 5 * 3, which equals 10x + 15.

Front

What is the equivalent expression of 5x + 3x using the commutative property?

Back

5x + 3x can be rearranged to 3x + 5x.

Front

What is the simplified form of 7x + 2x - 3x?

Back

The simplified form is 6x.

Front

How do you rewrite the expression 3(2x + 4) using the distributive property?

Back

3(2x + 4) simplifies to 3 * 2x + 3 * 4, which equals 6x + 12.