Distributive Property and Combining Like Terms

What is the first step in combining like terms?

• Identify and group the like terms together before performing the addition or subtraction.

• Perform the addition or subtraction of the terms immediately.

• Ignore the coefficients and focus only on the variables.

• Rearrange the terms in descending order before combining.

Which terms can be combined in the expression 3x + 7 - 9x + 24y + 2x²?

• 3x and -9x

• 7 and 24y

• 2x² and 3x

• -9x and 24y

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

• 8a + 2b

• 5a + 3a - 2b + 4b

• 3a - 2b + 5a + 4b

• 10a + 2b

How many terms are in the expression 3 + 2b + c + 100 + 6b?

• 3

• 4

• 5

• 6

What is the result of simplifying the expression 4(x + 2) - 3(x - 1)?

• x + 10

• x + 11

• x + 12

• x + 9

What is the importance of the Distributive Property in algebra?

• It allows for the simplification of expressions and solving equations by distributing multiplication over addition or subtraction.

• It is used to factor polynomials only.

• It helps in finding the roots of quadratic equations.

• It is primarily used for graphing linear equations.

What is the coefficient in the term 7x?

• 5

• 7

• 3

• 10

How do you simplify the expression ½(4x - 10)?

• 2x - 5

• 2x + 5

• 4x - 5

• 4x + 5

What are like terms?

• Terms that have different variables

• Terms that have the same variable raised to the same power

• Terms that are always positive

• Terms that can be added together regardless of their variables

How do you apply the Distributive Property to the expression 5(2y + 3)?

• 5(2y + 3) = 5 * 2y + 5 * 3 = 10y + 15

• 5(2y + 3) = 5 * 2y + 3 = 10y + 3

• 5(2y + 3) = 2y + 3 + 5

• 5(2y + 3) = 5 * 2y + 3 * 5 = 10y + 5