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

Tags

CCSS.6.EE.A.3

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

Tags

CCSS.6.EE.A.3

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

Tags

CCSS.7.EE.A.1

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

• 0

• 11

• 1

• -11

Tags

CCSS.7.EE.A.1

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

Tags

CCSS.6.EE.A.3

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

• -7i + 14

• -7i - 14

• 7i - 14

• 7i + 14

Tags

CCSS.HSN.CN.C.8

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

• -2i + 4

• 2i - 4

• -2i - 4

• 2i + 4

Tags

CCSS.HSN.CN.A.2

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

• -5i

• -14i

• -9i

• -7i

Tags

CCSS.HSN.CN.A.2

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

• -9i - 18

• -5i + 18

• -9i + 18

• -5i - 18

Tags

CCSS.7.NS.A.1C

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

• -10

• 18

• -18

• 10

Tags

CCSS.7.NS.A.1C