Algebraic Manipulation Worksheets Page 2

In Exercises 10 and 11, use the following information.

Your family and a friend’s family are going on vacation. The amount of fuel

Answers

remaining in your family’s car after driving m miles is given by the equation

11. _____________

a = –0.03m + 12 because it has a 12-gallon fuel tank and uses 0.03 gallon

of fuel per mile driven. The amount of fuel remaining in your friend’s van is

12. _____________

given by the equation a = –0.08m + 22.

13. _____________

10. Graph both equations in the coordinate plane.

11. Use the graphs to find the difference of the amount of fuel remaining

in the two fuel tanks after driving 100 miles. Show work.

Given that y varies directly with x, write a direct variation

equation that relates x and y. Show work.

12. x = – 8, y = 5

13. x =

y = 2

Graph the function.

14. g(x) = x – 5

15. h(x) = –

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