CE BOARD reviewer
ALGEBRA Zherrinore
1.
A salesman get P1000 commission on a small scale, one of The many that he accomplished in a period of time. The commission raised his average commission by P150. If the salesman new average commission is P400, how many sales did he make?
2.
You are given numbers which add up to 18. One of the numbers is 2. Calculate the average of the other 7 numbers.
3.
He average of 11 numbers is 10. One number is eliminated leaving only 10 numbers. He average of teh remaining number is 7.5. what number is eliminated?
4.
A certain curve has the equation y=sinA in comparison to this cure, which of the following has twice the amplitude and half the period.
5.
What is the value of y in the equation: 2x+5+yi-15-3i=0
6.
Find he arithmetic mean of the following: 14,-4,-10,12,5,-1
7.
4
3
2
When the expression x +ax +5x +bx+6 is divided by (x2) the remainder is 16, when it is divided by (x+1) the remainder is 10. Find the value of a
8.
The following data of road accident versus drivers age form a quadratic equation: Age of driver
#of accidents in a year
20
250
40
150
60
200
a. determine the coefficient of x
2
b. determine the coefficient of x c. determine the number of accidents per year in which 30 year old might be involved 9.
Determine the number of positive roots of he following 2n
equation p(x)=x -1 10.
5
4
3
2
A polynomial has an equation x -5x +5x +15x -3x+20. How many rational roots does it have?
11.
How many positive real roots are there for the 7
5
3
polynomial 7x +5x +3x +x 2 10
12.
Find the 6th term of the expansion (2x-y )
13.
Solve for x in he equation 3ix-5+3i+(3-i)+i
14.
xy is inversely proportional to yz when xy is equal to 12.54, yz=15000, find xy if yz is 12900
15.
AB is proportional o BC in the ratio 13 to 17. Also BC is proportional to CD in the same ratio. How long is AB if CD is 280m long
16.
Two values A and B are related to each other in an inverse manner such that when one increases, the other decreases, always with a constant inerse proportionality when the value of A is 1200, B is recorded to have 144720. Find the value of A when B reaches 256000
17.
ab=1/8, bc=6 and ac=3, if all of the above statements
18.
If xyz=4 and y z=5, what is he value of x/y?
19.
What is a non zero solution to the equation 2x -30x =0
20.
If the sum of 7 consecutive integers is zero, what is the
are true, what one possible value of abc? 2
5
smallest of the 7 integers
4
CE BOARD reviewer
ALGEBRA Zherrinore
21.
2
The area of a park in a map is 500 mm . If he scale of he map is 1:40000, determine the true area of park in hectares
22.
Mario has 4 more hats than Alex and half as many as Miguel. If the three together have 24 hats, how many hats does Miguel have?
23.
A shipment of 3200 items is divided into two portions such that the difference between the portions is one half of their average. What is the ratio of the smaller to larger portions?
24.
Find the tenth term of the series 5,10,20,40
25.
Determine the sum of the first 7 terms of the series 0.25, 0.75, 2.25,6.75
26.
th
The first term of a GP is 4 and the 6 terms is 128. th
What is the 11 term? 27.
There are 37 applicants for civil engineering aide positions in a construction company consisting of an odd number of male applicants. If an equal number of male and female engineers shall be hired for gender equality, 3 ladies left ou. How many men applied?
28.
A sine wave being emitted is monitored on a laboratory diagram and is found to follow the function
f(t)=
a.
Calculate the amplitude
b.
Calc. The period
c.
Calc. The frequency
