# MAT101 Case 2 Answer Template (Math Problem Sample)

**MAT101 Case 2 Answer Template**

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**I affirm that this assignment contains all original work. I am familiar with Trident University’s Academic Integrity policy located in the Trident ****Policy Handbook****. I affirm that I have not engaged in direct duplication, copy/pasting, sharing assignments, collaboration with others, contract cheating and/or obtaining answers online, paraphrasing, or submitting/facilitating the submission of prior work. Work found to be unoriginal and in violation of this policy is subject to consequences such as a failing grade on the assignment, a failing grade in the course, and/or elevated academic sanctions. My name below affirms that the assignment was completed individually, and all work presented is my own.**

**Name: **

**Date: **

**Instructor: **

** **

Use this template to insert your answers for the assignment. Please use one of the four methods for showing your work (EE, Math Type, ALT keys, or neatly typed). Remember that your work should be clear and legible.

Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible.

Complete the following problems using the Case 2 Answer Template.

Hint: Use the order of operations and plug in your answer to verify it is correct.

Solve for the given variable. Check your answers.

1. A = 1/2bh; solve for h

2. F = 9/5C + 32; solve for C

3. P = 2L + 2W; solve for W

4. 2(z – 6) + 10z = 8(z – 2)

5. 7 – 6(5 – y) = 10(y – 4)

6. 1/4x – 18 = 1/2x – 6

7. 5/6 = -2/5b + 1/3b

8. -0.08(x – 100) + 0.07x = 90

9. 0.75(a – 35.8) = a – 22.4

Solve the following absolute value equations. Hint: There may be two answers.

10. |14 – y| = 12

11. 3|6 – d| = 18

12. |2(p – 4) – 5| = 23

13. 2 + 4|5x – 7| = 46

14. 1/4|6x – 3| = 18.75

Solve and graph the following inequalities on a number line.

Example graph:

Note: When completing this assignment in the Case 2 Answer Template, go to "insert" then "shapes" to select the circles and line(s). Use "shape fill" to make the circle either open or solid.

15. x + 7 > 11

16. 1/8 ≤ 1 – 1/4x

17. -1 ≤ 2 – 3x < 8

18. 2 > 4y – 4 ≥ – 4

3 3

19. -8x > 16 or 5/6x > 5

20. -7 + z ≤ 3z + 7 and 2(z – 3) < -4z + 2

I affirm that this assignment contains all original work. I am familiar with Trident Universityâ€™s Academic Integrity policy located in the Trident Policy Handbook. I affirm that I have not engaged in direct duplication, copy/pasting, sharing assignments, collaboration with others, contract cheating and/or obtaining answers online, paraphrasing, or submitting/facilitating the submission of prior work. Work found to be unoriginal and in violation of this policy is subject to consequences such as a failing grade on the assignment, a failing grade in the course, and/or elevated academic sanctions. My name below affirms that the assignment was completed individually, and all work presented is my own.

Name:

Date:

Instructor:

Use this template to insert your answers for the assignment. Please use one of the four methods for showing your work (EE, Math Type, ALT keys, or neatly typed). Remember that your work should be clear and legible.

Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible.

Hint: Use the order of operations and plug in your answer to verify it is correct.

Solve for the given variable. Check your answers.

1. A= 12bh; solve for h

Calculations:

A*2=bh

2Ab=h

Checking for answers

2A=b*h

A=12bh

Answer: ___2A/b=h____________

2. F= 95C+32; solve for C

Calculations:

F-32=95C

5(F-32)9=C

Checking for answers

F-32=95C

F=95C-32

Answer: ___(5(F-32))/9=C____________

3. P=2L+2W;solve for W

Calculations:

P=2(L+W)

P2=L+W

P2-L=W

Checking for Answer

P2=L+W

P=2(L+W)

P=2L+2W

Answer: __P/2-L=W_____________

4. 2z-6+10z=8(z-2)

Calculations:

2Z-12+10Z=8Z-16

12Z-12=8Z-16

12Z-8Z=-16+12

4Z=-4

Z=-1

Answer: ___ Z=-1____________

5. 7-65-y=10(y-4)

Calculations:

7-30-6y=10y-40

-23-6y=10y-40

-10y-6y=-40-23

-16y=-63

y=6316

y=3.94

Answer: _____ y=3.94__________

6. 14x-18=12x-6

Calculations:

x-72=2x-24

x-2x=-24+72

-x=48

x=-48

Answer: ___ x=-48____________

7. 56= -25b+13b

Calculations:

56=-b25-13

56Ã·25-13=-b

56Ã·6-515=-b

56Ã·115=-b

56*151=-b

756=-b

b=-12.5

Answer: __ b=-12.5_____________

8. -0.08x-100+0.07x=90

Calculations:

-0.08x-8+0.07x=90

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