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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 __________

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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 __________

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