Name ___________________________ Phone ___________________ Foundations of Mathematics 10

Name ___________________________ Phone ___________________ Foundations of Mathematics 10 ~SUBMISSION 6~ Be sure to show WORK for all circled questions Write the following linear equations in: a. Slope Intercept form b. General form 1. y – 5 = 4(x -7) Slope Intercept ______________ General Form.. ______________ 2. y + 6 = -6(x + 1) Slope Intercept ______________ General Form.. ______________ 3. For the equation, 3x – 5y – 5 = 0, find: a. Slope ____ b. X intercept ____ c. Y intercept ____ d. Slope of a parallel line ____ e. Slope of a perpendicular line ____ Are the following systems of equations Parallel, Perpendicular or Neither: 4. X + 2y = 6 2y – 2 = -x _____________ 5. 3x + 5y = 9 3y = 5x – 6 _____________ 6. 3x + y = 11 x – 2y = 6 _____________ 7. Solve the system of equations a – b = -2 a = _____ 2b + 4a = 16 b = _____ 8. From the above graph, write the equation for line A in: a. Point Slope form _________________ b. General Form _________________ 9. Write the equation for line B in: a. Slope Intercept Form _______________ b. General Form _______________ 10. The cost of renting a car depends on the number of days for which it is rented and the distance it is driven. The cost for one day and 240 km is $39. The cost for three days and 800 km is $125. What is the cost per day and the cost per kilometer? Cost per day __________ Cost per km __________ When completed, save on your computer and upload to MOODLE I verify that this Submission page has been completed by ______________________________ without assistance. Parent or Supervisor (Print Name) ___________________________ (Signature) ________________________ BONUS QUESTIONS (Optional) – 5 marks 1 mark each. WORK MUST BE SHOWN (unless instructed otherwise!) ATTACH EXTRA WORK PAGES IF SPACE BELOW IS INSUFFICIENT Question 1 A home daycare operator charges a weekly flat rate to cover the cost of meals and snacks, plus an hourly fee. One week, the Davidsons paid $42 for 8 hours of baby-sitting service, while the Lees paid $170 for 40 hours. If you sketch a linear graph of this relation where C(Cost) is vertical axis and T(Time) is the horizontal axis, what is the slope-intercept form of the graph, in terms of C and T? ANSWER __________ Question 2 Naomi invested $1000, part at 8% per annum and the rest at 10% per annum. In one year, the two parts earned equal amounts of interest. How much did Naomi invest at 10%? ANSWER __________ At a pet store, cats sold for $10.00 each and the canaries sold for $15.00. The total value was $360.00. One night, the owner forgot to close the door and the animals got loose. Half of the canaries and two cats disappeared. If the total value of cats and canaries is now $220.00, how many canaries were present before the escape? ANSWER __________ Question 4 If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? ANSWER __________ Question 5 What’s the radius of a circle that has an area equal to half its circumference? ANSWER __________