lesson 9 simplify expressions

Front

What is the distributive property in algebra?

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

Simplify the expression: 10(3 + b)

Back

10b + 30

Front

What does it mean to combine like terms in an expression?

Back

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

Front

Simplify the expression: 2x² - 7x + 10 - x²

Back

x² - 7x + 10

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Front

Simplify the expression: 6(3p - 1)

Back

18p - 6

Front

What is the coefficient in the term 4x²?

Back

The coefficient is 4, which is the number multiplying the variable x².

Front

Simplify the expression: -3(y + 7)

Back

-3y - 21

Front

What is the first step in simplifying an expression?

Back

The first step is to apply the distributive property if there are parentheses.

Front

Simplify by combining like terms: 4x² - 3x + 11 - 2x

Back

4x² - 5x + 11