Question 1
Evaluate the expression below for x = -3 and y = -6.
-3x + y2
Question 2
Apply the Distributive Property and combine like terms to simplify the expression:
5(3x - 7) - 5(3x - 1)
Question 3
Solve the equation below. Show all work and show the complete check of your answer in the original equation.
3x + 5 = 1 (x + 2)
Question 4
Solve the equation below. Show all work and show the complete check of your answer in the original equation.
(2/3)n + (1/2) = (2/12)n
Question 5
The formula for perimeter of a rectangle is given by P = 2L + 2W, where P = perimeter, L = length, and W = width. Solve the formula for W.
Question 6
The formula for perimeter of a rectangle is given by P = 2L + 2W, where P = perimeter, L = length, and W = width.
Use the new version of the formula you found in part (5a) to find W, the width of a rectangle with perimeter 72.4 meters and length 23.4 meters. Include units with your answer.
Question 7
Problems 6 - 10: You are a high school counselor working with seniors as they apply to college. Part of your job is to help students apply for financial aid, and you therefore keep careful track of trends in the rising costs of college tuition and fees. Given the information in the following table, answer each of the questions below.
|
Year
|
x
Years since 1987
|
y
Average Tuition and Fees at Public 4-year Institutions in the US
|
|
1987
|
0
|
$8350
|
|
1997
|
10
|
$12527
|
|
2002
|
15
|
$11620
|
|
2011
|
24
|
$16082
|
|
2016
|
29
|
$19330
|
True
False
Question 8
Find the rate of change of tuition from 1987 to 1997. Show all work and round your answer (if necessary) to the nearest cent. Write a complete answer to the question asked.
Question 9
Find the rate of change of tuition from 1987 to 2016. Show all work and round your answer (if necessary) to the nearest cent. Write a complete answer to the question asked.
Question 10
Based on the data from the years 1987 to 1997, the estimated relation between annual tuition and fees, y, and time after 1987, x, is given by the following formula:
y = 355.54x + 8035.44
Use the formula to predict the cost of tuition and fees at a US four-year public institution in the year 2020.
Question 11
Use the formula to predict the cost of tuition and fees at a US four-year public institution in the year 2020.
y = 339.31(x) + 8490
Using the formula given in #9, predict the year in which tuition and fees will first exceed $30,000.