SIMPLIFY LIKE TERMS AND DISTRIBUTIVE PROPERTY

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce the expression to its simplest form.

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

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 each term inside a parenthesis.

Front

How do you apply the distributive property to the expression 3(9 + 2d)?

Back

You multiply 3 by both 9 and 2d, resulting in 27 + 6d.

Front

What is the first step in simplifying the expression 3(9 + 2d) + 4d?

Back

The first step is to apply the distributive property to the term 3(9 + 2d), which gives you 27 + 6d.

Front

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

Back

You combine the coefficients of like terms: (5a - 3a) + 2b + 4 = 2a + 2b + 4.

Front

What is the result of simplifying the expression 7v + 2 + 12 + 2v?

Back

The result is 9v + 14, obtained by combining like terms (7v + 2v) and constants (2 + 12).

Front

How do you simplify the expression 4(p - 6)?

Back

You apply the distributive property: 4 * p - 4 * 6 = 4p - 24.

Front

What is the simplified form of the expression -10x + 15 - 3x + 2?

Back

The simplified form is -13x + 17, obtained by combining like terms (-10x - 3x) and constants (15 + 2).

Front

What is the importance of combining like terms in algebra?

Back

Combining like terms is important because it simplifies expressions, making them easier to work with and understand.