Distributive Property and Combining Like Terms

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change. In the expression 12e + 7, the number 7 is a constant.

Front

How do you simplify the expression ½(4x - 10)?

Back

To simplify, distribute ½ to both terms: ½ * 4x = 2x and ½ * -10 = -5. So, ½(4x - 10) simplifies to 2x - 5.

Front

How many terms are in the expression 3 + 2b + c + 100 + 6b?

Back

There are 5 terms in the expression: 3, 2b, c, 100, and 6b.

Front

What is the result of applying the Distributive Property to 3(2c - 5)?

Back

Using the Distributive Property, 3(2c - 5) = 3 * 2c - 3 * 5 = 6c - 15.

Front

Which terms can be combined in the expression 3x + 7 - 9x + 24y + 2x²?

Back

The terms 3x and -9x can be combined because they are like terms.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and -9x are like terms.

Front

What is the first step in combining like terms?

Back

Identify and group the like terms together before performing the addition or subtraction.

Front

How do you combine the like terms in the expression 5a + 3a - 2b + 4b?

Back

Combine 5a and 3a to get 8a, and combine -2b and 4b to get 2b. The simplified expression is 8a + 2b.

Front

What is the result of simplifying the expression 4(x + 2) - 3(x - 1)?

Back

Distributing gives 4x + 8 - 3x + 3. Combining like terms results in x + 11.