1. Solve the simultaneous equations:
x - 4y = 0
x + y = 4
2. Find the equation of the line passing through the points ( -4 , 5 ) and ( 2 , -3 )
3. A rectangle has a width of 0.7x and a length of 0.4x. Which formula is the correct one to calculate the perimeter (P) in terms of x?
4. Gerry drives to Jane's house at 60 miles per hour and comes back at 40 miles per hour. How far from Jane's house does he live if the entire trip takes 2 hours?
5. 2 - i, where i is the imaginary unit, is a zero of P(x) = x4- 4x3+ 3x2+ 8x - 10. Find all zeros of P.
6. Given the data set : 4 , 10 , 7 , 7 , 6 , 9 , 3 , 8 , 9
Find
a) the mode,
b) the median,
c) the mean,
d) the sample standard deviation.
e) If we replace the data value 6 in the data set above by 24, will the standard deviation increase, decrease or stay the same?
7. The sum of three consecutive numbers in an arithmetic sequence is equal to 27 and their product is equal to 585. What are the three numbers?