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This is a two part assisngment. I need the following questions answered and all work shown: 1-5, 13-18, 25-30 of the attached. Then i have an online multiple choice exam and i will need to message you one question at a time. There are 20 questions and they reflect the attached paper.
The exam portion is mc, timed, i cannot exit i cannot go back once its started.
Please look at the review, if you are not sure you can get an A on the quiz please do not message me about it.
I will only pay if I get an A on the quiz, 92/100 or higher. I will know the score right after the quiz.
The problems are the worksheet already have answers, please show all work on how those answers were obtained.
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– Review for the final GHA
The final GHA does contain concepts introduced in Weeks 3, 6, 9, and 10.
1. Determine if 4 is a solution to the equation
-3
x – 5 = 7.
2. Solve for c in the equation
1
5 = 12 – 4c.
3. Solve for x in the equation 5x – 4 = 3x – 10.
4. Evaluate the expression: 18 – 5[ 8 – 2(3)] ÷ 10.
5. Determine if (2, 1) is a solution to the linear equation y = 2x – 3.
6. Simplify the expression -7(7b + 3) + 7b.
7. Solve the system of equations: 2x – 3y = 6 and 3x + 6y = 16.
8. Find the slope of a line passing thru points (5, 2) and (3,
-1
).
9. What is the slope of a line that is perpendicular to a line with slope 2?
10. What is the slope of a line that passes through points (5, -3) and (5, 1)?
11. Write the equation y = 3x – 2 in the Standard Form.
12. A company that makes bird feeders sells feeders for $6,00 per feeder. Fixed costs are $37,500 and the variable cost is $2.00 per feeder. How many feeder must be sold to realize a profit?
13. Write the intercept-form of the line given the slope = 1 and y-intercept = -3.
14. Write the standard form of a line given point (-5, 4) and slope = -1/5.
15. Write the slope-intercept form of the equation given point (-4, 2) parallel to the equation y = 4.
16. Find the midpoint of a line segment that have endpoints P(5, 6) and Q(3, -2).
17. Find the distance of the line segment between points (9, 5) and (3, 8).
18. Solve the system of equations x – y = -2 and 4x + 5y = 1.
19. Find the solution to the system of equations 2x + 3y = 8 and 5x – 3y = -1.
20. Evaluate the determinant:
|
4 |
-3 |
|
2 |
1 |
21. Evaluate the determinant:
| 1 | 2 | -1 |
|
2 |
0 |
3 |
|
-2 |
1 |
4 |
22. The school that Natalie attends is selling tickets to a play. On the first day of the ticket sales, the school sold 6 adult and 2 children tickets for a total of $88. The school took in $60 on the second day by selling 3 adult and 3 children tickets. Find the price of each adult and each children’s ticket.
23. The cost to rent gowns from a rental place is $20 plus $88 per gown. Write the function of x, the number of gowns rented. Use your function to find out how much it would cost to rent 100 gowns.
24. Add [ 2 -4 5] + [-5 -3 6]
25. If A = [3 2 -1] , find 2A
26. In the figure to the left, the line crosses the x axis at point (3,0)
and the y axis at point (0, 2).
What is the equation of this line?
27. What is the solution of the system 5x – 2y = 2 and 5x – 2y = -4?
28. Given a profit equation of P = 4x + 3y with constraints x + y < 8, 2x + y < 10, x > 0 , y > 0, find the corner point which would give the greatest profit.
29. Suppose $1,000 is invested at 8% interest compounded annually for 3 years. Find the total value in the account after 3 years.
30. Find the simple interest on $400 at 5.2% for 6 months.
31. You have to payback a loan of $20,000 during 4 years with monthly payments.
How much will be your monthly payment if the annual interest rate on this loan is 6%?
Answers
1. No 18. (-1, 1)
2. c = -3/4 19. (1, 2)
3. x = -3 20. 10
4. 17 21. -33
5. true 22. $12-adult, $8-child
6. -42b – 21 23. $8,820
7. (4, 2/3) 24. [-3 -7 11]
8. 3/2 25. [6 4 -2]
9. -1/2 26. 2x + 3y = 6
10. undefined 27. no solution
11. 3x – y = 2 28. (2, 6)
12. must sell 9376 to get a profit 29. $12,59.71
13. y = x – 3 30. $10.40
14. x + 5y = 15 31. $469.70
15. y = 2
16. (4, 2)
17. 3√ 5
