Simplifying Expressions and Distributing

The video tutorial explains how to simplify algebraic expressions by distributing constants and combining like terms. It covers three examples: one with the variable 's', another with 'q', and the last with 'i'. The process involves distributing multiplication over addition or subtraction, handling negative signs, and combining like terms to simplify the expressions.

What is the result of distributing 7 in the expression 7(s + 9)?

• 7s + 9

• 7 + 9s

• 7s + 63

• s + 63

After distributing 7 in 7(s + 9) and adding 2s, what is the simplified expression?

• 7s + 9 + 2s

• 9s + 9

• 7s + 2s + 63

• 9s + 63

How do you simplify -4 - (q - 10) + 5 by distributing the negative sign?

• -4 - q + 10 + 5

• -4 + q - 10 + 5

• -4 - q - 10 + 5

• -4 + q + 10 + 5

What is the result of combining the constants in -4 - q + 10 + 5?

• 0

• 11

• 1

• -11

Which of the following is a correct step in simplifying -4 - (q - 10) + 5?

• Add all terms directly

• Distribute the negative sign

• Combine q terms first

• Distribute the 5

What is the result of distributing -7 in the expression -7(i + 2)?

• -7i + 14

• -7i - 14

• 7i - 14

• 7i + 14

How do you simplify -2(2 + i) by distributing -2?

• -2i + 4

• 2i - 4

• -2i - 4

• 2i + 4

What is the result of combining like terms in -7i - 2i?

• -5i

• -14i

• -9i

• -7i

What is the final simplified expression of -7(i + 2) - 2(2 + i)?

• -9i - 18

• -5i + 18

• -9i + 18

• -5i - 18

What is the result of combining the constants -14 and -4?

• -10

• 18

• -18

• 10