Simplifying Algebraic Expressions by Combining Like Terms and Distributive Property

What are the like terms in the following expression? 4x² - 3x - 2x

• -3x, -2x

• 3x, 2x

• -3x, 2x

• All the terms in the expression are similar.

Which of these are like terms in the following expression:
3x - 9x + 2x²

• 7, 24y

• 3x, 9x

• 3x, -9x

• 3x, -9x, 2x²

These have the the same variable factor and can, therefore, be combined...

• Expressions

• Distributive Property

• Additive Inverse

• Like Terms

X+X+X+X+X

• X + 5 

• 5X

• X+X+X+X+X+5

• X to the 5th power 

–4d⁸ – 3 + 5d⁴– 8d⁸ + 7

• 4 + 5d⁴ - 12d⁸

• 4 + 5d⁴ - 4d⁸

• 4 - 5d⁴ - 12d⁸

Simplify the expression using the distributive property:

6(5x + 7)

• 30x + 7

• 30x + 42

• 5x + 42

• 11x + 13

2(3x - 1) + 10

• 6x + 12

• 6x + 8 

• 6x + 9

• 6x - 8 

5x + 8y - 3x - 15y

• 2x - 7y

• 8x + 23y

• 8x - 23y

• 2x + 7y

5(a + 6)

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

4(-p - 6)

• 4p - 24

• 4p + 24

• -4p + 24

• -4p - 24