Distributing and Combining Like Terms in Algebra

The video tutorial reviews key algebraic skills: combining like terms, distributing, and solving expressions with both positive and negative numbers. It provides step-by-step examples and encourages students to practice these skills. The lesson progresses from simple combining of like terms to more complex tasks involving distribution and evaluation, with opportunities for students to try problems on their own.

What is the result of combining 10m and 9n?

• 19m

• 19n

• 10m + 9n

• 19

How do you simplify the expression 10m - 7 + 9n - 3?

• 10m + 9n - 10

• 19n - 10

• 19m - 10

• 19n - 7

What is the simplified form of v + 4 + v - 6?

• 2v - 2

• v + 4

• v - 2

• 2v + 2

How do you combine the terms in v - 6 - 3 - 9v?

• -8v - 10

• -8v - 3

• -8v - 6

• -8v - 9

What is the result of distributing 2(m - 8)?

• m - 16

• 2m + 16

• 2m - 16

• 2m - 8

What is the simplified form of -7n + 6 after distribution?

• -7n - 42

• -7n + 6

• -7n + 42

• 7n - 42

How do you distribute and combine like terms in 4(3x + 7) - 3 + x?

• 12x + 25

• 13x + 25

• 12x + 28

• 13x + 28

What is the result of distributing -5(4 + 8x) - x + 12?

• -20 - 40x - x + 12

• -20 - 40x + x - 12

• -20 - 40x - x - 12

• -20 - 40x + x + 12

What is the final evaluated result of -7x - 2 + 4 - x if x = 3?

• 24

• 6

• -6

• -24

How do you evaluate -x + 2 + 12 - p + 3x if x = 3 and p = -5?

• 6

• 11

• 16

• 21