Mathematics > SOPHIA Milestone > College Algebra - Final Milestone with Answers!!. Pennsylvania State University MATH 1201 . (All)

College Algebra - Final Milestone with Answers!!. Pennsylvania State University MATH 1201 .

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College Algebra - Final Milestone with Answers!! You passed this Milestone 23 questions were answered correctly. 2 questions were answered incorrectly. 1 Which of the following equations is corr... ectly calculated? • -2 × -7 = -14 • 81 ÷ -9 = -9 • -36 ÷ 4 = 9 • 4 × 12 = -48 RATIONALE This is correct. The quotient of a positive and negative number is always negative. This is incorrect. The product of two negative numbers is always positive. The correct product is 14. CONCEPT Multiplying and Dividing Positive and Negative Numbers 2 Select the solution to the following system of equations: • • correct • • RATIONALE This is incorrect. The quotient of a positive and a negative number is always negative. The correct quotient is -9. This is incorrect. The product of two positive numbers is always positive. The correct product is 48. When we add the two equations, the term will cancel, leaving . Now we can solve for by dividing both sides by . Dividing by gives a solution of . Once we divide both sides by , we get a solution of . We can solve for by plugging in for in either equation. Let's use the second equation . Once is plugged in for , evaluate and solve for . Here, by multiplying by , the result contains a term, which will cancel when combined with the second equation. Now, we can add the two equations together. Before you can add equations, sometimes you must multiply entire equations by a scalar value for the method to work as intended. For this system, we can multiply the second equation by [Show More]

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