Precalculus Survey Worksheet – Section 1.6
NAME_________________________________________
1.) Alex and Jonathan share a paper route. It takes Alex 45 minutes to deliver all of the papers, whereas
Jonathan takes 55 minutes. How long does it take them when they work together?
1.) _________________________
2.) What quantity of 60% acid solution must be mixed with a 30% acid solution to produce 300 mL of a 50%
solution?
2.) _________________________
3.) At 7:00 AM, it takes Maria 50 minutes (5/6 hours) to travel from Oneida to Oak Ridge. At 4:00 PM,
Maria’s rate back to Oneida from Oak Ridge is 12 miles per hour less (slower) than her morning rate.
Her afternoon trek takes 66 minutes, 40 seconds (10/9 hours). What are Maria’s average rates on her
morning and afternoon trips?
Morning rate: _______________________
Afternoon rate: ______________________
4.) A rectangular building lot is 8 feet longer than it is wide and has an area of 2900 ft2. Find the dimensions of
the lot.
Width: _____________________________
Length: ____________________________
5.) Find two numbers whose sum is 56 and whose product is 663.
_____________ and ____________
6.) The sum of the squares of two consecutive even integers is 884. What are the integers?
_____________ and ____________ OR _____________ and ____________
7.) Steven makes an annual salary that is 10% more than his girlfriend’s annual salary. Together they make
$68,250 per year. How much does each make?
Steven’s annual salary: ______________________
Girlfriend’s annual salary: ___________________
8.) Meredith has invested a total of $5,000 in two different accounts. One account earns a simple interest rate
of 5 ½ % per year and the other earns a rate of 5 % per year. After one year, the total interest earned on
these investments was $264. How much money did she invest at each rate?
Amount invested at 5 ½ %: ___________________
Amount invested at 5 %: _____________________
9.) Kira has $2.35 in nickels, dimes and quarters. If she has three times as many dimes as quarters, and five
more nickels than dimes, how many coins of each type does she have?
# of Quarters: _______________________
# of dimes: _________________________
# of nickels: ________________________
10.) Find the length of x if the area of the given figure is 450 ft2.
x
30
15
x
x = __________________________