Simplifying Algebraic Expressions: Distributive Property and Like Terms

What is the first step in simplifying an algebraic expression with parentheses?

• Combine like terms

• Use the distributive property

• Factor the expression

• Add all constants

In the expression 13a + 4(a + 9), what do you get after distributing the 4?

• 4a + 9

• 4a + 4

• 4a + 13a

• 4a + 36

After distributing and combining like terms in 13a + 4(a + 9), what is the simplified expression?

• 17a + 9

• 13a + 36

• 17a + 36

• 13a + 4a + 36

What is the result of distributing 5 in the expression 5(x^2 - 3)?

• 5x - 3

• 5x^2 + 15

• 5x - 15

• 5x^2 - 15

In the expression 5(x^2 - 3) + 10 - 4x, what are the like terms that can be combined?

• 10 and -4x

• 10 and -15

• 5x^2 and 10

• 5x^2 and -4x

What is the simplified form of 5(x^2 - 3) + 10 - 4x?

• 5x^2 - 4x - 15

• 5x^2 - 4x + 5

• 5x^2 + 4x - 5

• 5x^2 - 4x - 5

What do you get after distributing 7 in the expression 7(g + 3h)?

• 7g + 21h

• 7g + 3h

• 7g + 4h

• 7g + 10h

In the expression 7(g + 3h) + 4(2g - 6h), what is the simplified form?

• 11g + 3h

• 15g + 3h

• 15g - 3h

• 11g - 3h

What is the result of distributing -10 in the expression -10(2x - 2y + 9)?

• -20x - 20y + 90

• -20x + 20y - 90

• 20x + 20y - 90

• 20x - 20y + 90

What is the final simplified form of the expression 18x - 10(2x - 2y + 9) - 6x?

• -8x + 20y - 90

• -8x - 20y + 90

• 8x - 20y + 90

• 8x + 20y - 90