combining like terms & distributive property

Front

What is the process of combining like terms in an expression?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in the expression 5a + 2b - 3a + 4, you combine 5a and -3a to get 2a, resulting in 2a + 2b + 4.

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

Simplify the expression: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

Apply the distributive property: 5(a + 6)

Back

5a + 30

Front

Use the distributive property to simplify: 10(8 - 2x)

Back

80 - 20x

Front

What is the result of combining the terms: 3x - 5x?

Back

-2x

Front

Simplify the expression: -r - 10r

Back

-11r

Front

What does it mean to 'combine like terms'?

Back

To combine like terms means to add or subtract terms that have the same variable and exponent, simplifying the expression.

Front

If you have the expression 4x + 3y - 2x + 5y, what is the simplified form?

Back

2x + 8y

Front

What is the result of applying the distributive property to 2(3x + 4)?

Back

6x + 8