Foundations of Mathematics 10

~SUBMISSION 8~Be sure to show your WORK for all circled questions1. If f(x) = -3x – 1 , then f(2x+1) = ?____________2. Write an equation in slope intercept form ofa line that is parallel to y =34x + 5 andpasses through the point (3, 8)._________________3. What is the slope of the line5x – 4y + 8 = 0? _______4. What is the X and Y intercept of the liney = 5x–7X intercept is _______Y intercept is _______5. For what value of y is 2 y =161? y =____6. What is the value of k if 5 m10 = m k ?k = ___7. Simplify (64a8)0.5 ____________8. Simplify3 4881    m     ____________9. Simplify 3a(2a – 1) – (4x – 3)____________10. Factor completely 3a2 – 12a – 15____________________11. Is 3 25 a rational number? _______12. TRUE or FALSE A total monthly cost ofusing a cell phone consists of a fixed cost of$17.99 plus a charge of $0.18 per minute ofuse. The total monthly cost function is C(t) =0.18t + 17.99._______13. f(x) = 5 – 3x, then f(-1) = ? _______14. Calculate the length of X (Round to 1 decimalplace)X = ______15. A watermelon at Store A costs $1.27 perpound and costs $2.83 per kilogram at StoreB. Which store has the higher price?_________16. A cube has a surface area of 54 m2. What isthe length of a diagonal on one of thesurfaces? (Round to 1 decimal place)__________17. What is the radius of a soccer ball that has asurface area of 2463 cm2? (Round to 1decimal place)__________When completed, save onyour computer and upload toMOODLEI verify that this Submission page has been completed by ______________________________ without assistance.Parent or Supervisor (Print Name) ___________________________ (Signature) ________________________BONUS QUESTIONS (Optional) – 5 marks1 mark each. WORK MUST BE SHOWN (unless instructed otherwise!)ATTACH EXTRA WORK PAGES IF SPACE BELOW IS INSUFFICIENTQuestion 1 (Show work ‘without’ using a calculator)Write the following in order from smallest to largest:35 ,213, 2   1 29 , 3 27ANSWER _______________________________Question 2The lines that enclose a triangle can be represented by graphs of the equations y = 3, y + x= 7, andy = 2x+7. By graphing the equations, determine the area of the triangle.ANSWER ________Question 3If two secretaries can type two pages in two minutes, how many secretaries will it take to type 18pages in six minutes?ANSWER ________Question 4 (No work required!)In the drawing at right, the numbers beside each row and column are the totalvalues of the symbols in each row and column. What should replace thequestionmark?ANSWER ________Question 5When musicians play together, they usually tune their instruments so that the note Aabove middle C has frequency 440 Hz, called the concert pitch. A formula for calculating thefrequency, F hertz, of an note n semitones above the concert pitch is F = 440( 12 2 )n .Middle C is 9 semitones below the concert pitch. What is the frequency of middle C? Round youranswer to the nearest hertz.ANSWER ________