# Math 15 questions

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Question description

"You should show all of your work to receive full credit. If you do not show work, you may earn only partial or no credit."

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mickeygabz
School: Duke University

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Please show all work on the exam.
1) Simplify the following expression:

−3(5 − 7 ) − 2 (15 − 9 )
3

2

= -3(-2)3 -2(6)2
=-3* -8 -2(36)
=24-72
= -48

2) Simplify the following expression:

 7
 − 
 6

2

 

+  − 1   5 
 2  3 

49 - 5
6

= 36

= 49 - 30

36

36

= 19

36

5 32 − 3 48 + 4 18

Math 037
Midterm Exam

Page 2 of 8

= 5√16 ∗ 2 - 3 √16 ∗ 3 + 4√9 ∗ 2
= 5√16 √2 - 3 √16 √3+ 4√9√2
= 5*4√2 - 3*4 √3+ 4∗ 3√2
=20√2 - 12 √3+ 12√2
=32√2 - 12 √3

4) Evaluate the following expression for

x = −5

and

y = −6

−2 x3 − 3 y 2
= -2(-5)3 -3(-6)2
= -2(-125) -3(36)
=250- 108
= 142

5) Solve the equation. Show all work and show the complete check of your answer:

5x −14 = −29
5x = -29 + 14
5x = -15
x= -15/5
x=-3

Math 037
Midterm Exam

Page 3 of 8

6) Solve the equation. Show all work and show the complete check of your answer:

5 − 4 ( 7 x + 2) = 5x − 6 (6x − 3)
5 -28x-8...

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