#7 ### Math Practice Exercises#### Section A**6. Simplify this expression \( \frac{7!}{(7-2)!} \).**Options:- A. 42- B. 14- C. 9- D. 5Solution: The expression is given as \( \frac{7!}{(7-2)!} \). Simplifying, we get:\[ \frac{7!}{5!} = \frac{7 \times 6 \times 5!}{5!} = 7 \times 6 = 42 \]Correct answer: **A. 42**#### Section B**7. Write the equation without fractions:**\[ \frac{3 + a}{2a} = \frac{1}{3} + \frac{5}{6a} \]Options:- A. \( 3 + a = 1 + 5 \)- B. \( 9 + 3a = 2a + 5 \) - C. \( 2a = 3 + 6a \)- D. \( 2a^2 = 3a + 6a^2 \)Solution: To write the equation without fractions, we first find a common denominator and then multiply both sides of the equation.#### Section C**8. Subtract**\[ \frac{y}{y^2 - 7y - 18} - \frac{3}{y + 2} \]Options:- A. \( \frac{y - 9}{(y - 9)(y + 2)} \)- B. \( \frac{2y + 7}{(y - 9)(y + 2)} \)- C. \( \frac{-2y + 27}{(y - 9)(y + 2)} \)- D. \( \frac{y - 18}{(y - 9)(y + 2)} \)Solution:The teacher's notes indicate factoring and combining the fractions:- Factor \( y^2 - 7y - 18 \) as \( (y - 9)(y + 2) \).- Obtain a common denominator and subtract the fractions accordingly.The correct method and detailed solution will be shown to adhere to algebraic rules.

Answered: 7. Write the equation without…

7. Write the equation without fractions: A. 3+ a = 1 +5 B9+ 3a = 2a + 5 C. 2a = 3 + 6a D. 2a² = 3a + 6a² 3+ a 1 5 + 2a 3 6a

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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