Simplify to create an equivalent expression. -y-3(-3y+5) Choose 1 answer: (A) -8y-15 (B) 8y+5 (c) -8y-5 (D) 8y-15

Identify Terms and Distributive Property: Identify the terms in the expression and look for any distributive property to apply. The expression is -y - 3(-3y + 5). We need to distribute the -3 across the terms inside the parentheses.Apply Distributive Property: Apply the distributive property. Distribute -3 to both -3y and +5. -3 * -3y = 9y -3 * 5 = -15 So, the expression becomes -y + 9y - 15.Combine Like Terms: Combine like terms. -y and 9y are like terms. -1y + 9y = 8y So, the expression now is 8y - 15.Check for Further Simplifications: Check if there are any other terms that can be combined or any other simplifications that can be made. There are no more like terms, and the expression is as simple as it can be. The simplified expression is 8y - 15.

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Simplify to create an equivalent expression.

-y-3(-3y+5)
Choose 1 answer:
(A)
-8y-15
(B)
8y+5
(c)
-8y-5
(D)
8y-15

Simplify to create an equivalent expression. $\newline$ $-y-3(-3y+5)$ $\newline$ Choose $1$ answer: $\newline$ (A) $-8y-15$ $\newline$ (B) $8y+5$ $\newline$ (C) $-8y-5$ $\newline$ (D) $8y-15$

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Math Problems

Algebra 1

Domain and range of relations

Full solution

Q. Simplify to create an equivalent expression.

\newline

-y-3(-3y+5)

\newline

Choose

1

answer:

\newline

(A)

-8y-15

\newline

(B)

8y+5

\newline

(C)

-8y-5

\newline

(D)

8y-15

Identify Terms and Distributive Property: Identify the terms in the expression and look for any distributive property to apply. $\newline$ The expression is $-y - 3(-3y + 5)$ . $\newline$ We need to distribute the $-3$ across the terms inside the parentheses.
Apply Distributive Property: Apply the distributive property. $\newline$ Distribute $-3$ to both $-3y$ and $+5$ . $\newline$ $-3 \times -3y = 9y$ $\newline$ $-3 \times 5 = -15$ $\newline$ So, the expression becomes $-y + 9y - 15$ .
Combine Like Terms: Combine like terms. $\newline$ $-y$ and $9y$ are like terms. $\newline$ $-1y + 9y = 8y$ $\newline$ So, the expression now is $8y - 15$ .
Check for Further Simplifications: Check if there are any other terms that can be combined or any other simplifications that can be made. $\newline$ There are no more like terms, and the expression is as simple as it can be. $\newline$ The simplified expression is $8y - 15$ .