1. No category

HL1 WORKSHEET # 1a
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5
1)
2)
2

Find the coefficient of x in the expansion of  3x   .
x

Given that
calculate the values of the following, giving
your answers in correct scientific notation and three significant figures.
a.
b.
3)
The line l has equation 4x + 3y = 7. Find the equation of the line perpendicular to l which
passes through the point of intersection of l and the y-axis. Give your answer in the form ax +
by + c = 0, where a, b, c are integers.
4)
For
x  8 and x  4 , show that
graph of f  x  
5)
8x
.
2 x 4
8 x
 2  x  4 . Use this information to sketch the
2  x 4
Two parallel lines have equations
perpendicular distance between them.
respectively. Find the
6)
The mean height of a group of students is 181 cm. Another student whose height is 163 cm
joins the group, and the mean height is reduced to 179 cm. What is the number in the original
group?
7)
A linear model that can be used to predict the year y in which the world record will be set for
running the mile in a given time x is f x   2538.3243146.5827x . In 1985, Steve Cram
of England ran the mile in 3:46.31 (3 min, 46.31 s).
a)
Test the linear model to see how accurate it was for Steve Cram's record.
b)
8)
ABCD is a parallelogram in which AB = 7 cm, AD = 4 cm and the distance between the
parallel sides AB and CD is 3 cm. <DAB is obtuse.
a.
b.
9)
10)
Find the inverse of f  x  and interpret its meaning.
What is the distance between the parallel sides AD and BC?
Find <DAB, correct to the nearest degree.
The functions ƒ and g are defined by
down similar expressions for the functions
a.
;
b.
.
Find the sum of the thirteen numbers
respectively. Write
.
HL1 WORKSHEET # 1a
ANSWERS
1)
1080
2)
a. 3.85  1011
3)
9 x  12 y  28  0
4)
The square root graph moved right 4 and up 2.
5)
d
6)
n=8
7)
a) f (3 : 46.31)  1985.4
2538.3243  x
b) f 1 ( x) 
146.5827
Input the year and the model will predict the time for running the mile.
8)
a.
9)
a) 17  2 x
10)
1234567901233
b. 5.34  10 3
8 13
13
21
4
b. DAB  131
b) f 1 ( x) 
x3
2