Trident MATH101 module 2-5 case and SLP
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
SLp 2
2. Martin sold his computer and software for $900, receiving three times as much for the computer than the software. What was the selling price of the computer and the software? Write and solve an equation.
3. The perimeter of a pool is 64 feet and has a width of x and a length of x-4. Write an equation and find both the width and length of the pool.
4. The tax on a purchase was $9.33. If the sales tax rate is 6%, how much was the purchase? Write and solve an equation.
5. Mike needs at least a 75% average to pass his math course. The class contains 5 exams that are equally weighted. If he scored a 64%, 86%, 71%, and 90% on the first 4 tests, what score does he need on the final test to earn at least a 75% in the class. Write and solve an inequality.
6. The Parker’s are installing a wooden fence in their backyard. They have 330 feet of wood. The length can be no more than 90 feet. Write and solve an inequality to find the maximum width of the fence.
7. Paula is an office manager for ABC Advertising. She has been tasked with finding a
copy machine that falls within a budget of $750 per month. She finds a company that will lease the machine for $275 a month. Each copy costs 4 and a ream of 500 sheets of paper costs $5.00. If she estimates that they will make 10,500 copies per month, is leasing this machine a good choice? Write and solve an inequality and explain your reasoning.
8. Peter is throwing a surprise party for his friend Tammy. He has a budget of $350. If
the restaurant charges $20 per person for drinks and food and a cleanup fee of $35, what is the maximum number of people that he can invite to stay within budget? Write and solve an inequality. Hint: Don’t forget to include both Peter and Tammy as guests.
9. Sally calculated that she will lose 4.6 calories per minute walking at a rate of 3 miles
per hour. How many minutes does she need to walk to burn at least 250 calories?
Write and solve an inequality, rounding to the nearest tenth. (Hint: Check your final
answer.)
10. When solving an inequality, when is the sign reversed?
Module 5 Case
Simplify
1. (42)3
2. 
4
3.
2
4. (a4b6)0
5. (-2x)-6
Evaluate each polynomial for the given value of the variable.
6. –x2-5x+6; x= -3
7. 2x2-4x-1; x= 5
Add the polynomials.
8. (4y+5y2) + (2y3-8y2)
9. (3x2-2x-3) + (-7x2+5-8x)
Subtract the polynomials.
10. (4a2+9b5) - (-2a2-6b5)
11. (-7-2z3+4y) - (3z3+12-6y)
Use the FOIL method to simplify the binomials.
12. (x-10) (x-9)
Calculations:
13. (2x-2) (x+5)
Calculations:
14. (3y-4)2
Calculations:
15. 3x(x-1) (5x+9)
Calculations:
16. (y-2) (3y3-5y+7)
Calculations:
Compute and write your answer in scientific notation.
17. (5.2 x 1013) (7.1 x 10-22)
18. (4.3 x 10-8) (1.5 x 109)
Calculations:
19. 8.2 x 105
2.75 x 10-3
Calculations:
20. 6.3 x 10-7
3.25 x 10-12
Calculations:
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Solution: Trident MATH101 module 2-5 case and SLP