Foundations of Mathematics 10

~SUBMISSION 8~
Be sure to show your WORK for all circled questions
1. If f(x) = -3x – 1 , then f(2x+1) = ?
____________
2. Write an equation in slope intercept form of
a line that is parallel to y =
34
x + 5 and
passes through the point (3, 8).
_________________
3. What is the slope of the line
5x – 4y + 8 = 0? _______
4. What is the X and Y intercept of the line
y = 5x–7
X intercept is _______
Y intercept is _______
5. For what value of y is 2 y =
16
1
? y =____
6. What is the value of k if 5 m10 = m k ?
k = ___
7. Simplify (64a8)0.5 ____________
8. Simplify
3 4
8
81

    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 of
using a cell phone consists of a fixed cost of
$17.99 plus a charge of $0.18 per minute of
use. 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 decimal
place)
X = ______
15. A watermelon at Store A costs $1.27 per
pound and costs $2.83 per kilogram at Store
B. Which store has the higher price?
_________
16. A cube has a surface area of 54 m2. What is
the length of a diagonal on one of the
surfaces? (Round to 1 decimal place)
__________
17. What is the radius of a soccer ball that has a
surface area of 2463 cm2? (Round to 1
decimal place)
__________
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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 (Show work ‘without’ using a calculator)
Write the following in order from smallest to largest:
35 ,
2
13



, 2  
 

1 2
9 , 3 27
ANSWER _______________________________
Question 2
The lines that enclose a triangle can be represented by graphs of the equations y = 3, y + x= 7, and
y = 2x+7. By graphing the equations, determine the area of the triangle.
ANSWER ________
Question 3
If two secretaries can type two pages in two minutes, how many secretaries will it take to type 18
pages in six minutes?
ANSWER ________
Question 4 (No work required!)
In the drawing at right, the numbers beside each row and column are the total
values of the symbols in each row and column. What should replace the
questionmark?
ANSWER ________
Question 5
When musicians play together, they usually tune their instruments so that the note A
above middle C has frequency 440 Hz, called the concert pitch. A formula for calculating the
frequency, 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 your
answer to the nearest hertz.
ANSWER ________
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