Algebraic Expressions: Like Terms and Distribution

Front

What are like terms in algebraic expressions?

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 in an expression?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = (3+5)x = 8x.

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 each term inside a parentheses.

Front

How do you apply the distributive property to simplify an expression?

Back

To apply the distributive property, multiply the term outside the parentheses by each term inside the parentheses. For example, 5(2 + 3) = 5*2 + 5*3 = 10 + 15 = 25.

Front

What is the result of simplifying the expression 3 + 5x + 8 - 2x?

Back

The result is 3x + 11.

Front

How do you simplify the expression 5(2 - 7n)?

Back

By applying the distributive property, you get 5*2 - 5*7n = 10 - 35n.

Front

What is the simplified form of 7(y + 9)?

Back

The simplified form is 7y + 63.

Front

How do you simplify the expression 5x - 6x - 8x + 7?

Back

Combine like terms: (5 - 6 - 8)x + 7 = -9x + 7.

Front

What is the simplified expression for 12x^2?

Back

12x^2 is already in its simplest form.

Front

What is the importance of simplifying algebraic expressions?

Back

Simplifying algebraic expressions makes them easier to work with and helps in solving equations and inequalities.