Thursday/14

Front

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

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. This simplifies the expression.

Front

What is the result of combining the like terms 3x + 2x?

Back

The result is 5x.

Front

How do you simplify the expression 4d + 2d - 2?

Back

You combine the like terms 4d and 2d to get 6d, resulting in the expression 6d - 2.

Front

What is the process for simplifying the expression -5x² + 8x + 12 - 2x² - 6x + 3?

Back

Combine like terms: -5x² and -2x² to get -7x², and 8x and -6x to get 2x, resulting in -7x² + 2x + 15.

Front

What is the simplified form of the expression 7x² - 3a + 20 - 4x² + 2a?

Back

Combine like terms: 7x² and -4x² to get 3x², and -3a and 2a to get -a, resulting in 3x² - a + 20.

Front

What are like terms?

Back

Like terms are terms in an algebraic expression that have the same variable and exponent.

Front

Why is it important to combine like terms in algebra?

Back

Combining like terms simplifies expressions, making them easier to work with and solve.

Front

What is the first step in simplifying an algebraic expression?

Back

Identify and group like terms.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms as they are not like terms.

Front

What is the simplified form of the expression 5a + 2a + 2a?

Back

The simplified form is 9a.