8/11/2019 CE BOARD algebra

1/2

CE BOARD reviewer

ALGEBRAZherrinore

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. When the expression x4+ax

3+5x

2+bx+6 is divided by (x-

2) the remainder is 16, when it is divided by (x+1) theremainder 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 x2

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

equation p(x)=x2n

-1

10.

A polynomial has an equation x5-5x4+5x3+15x2-3x+20.

How many rational roots does it have?

11. How many positive real roots are there for the

polynomial 7x7+5x

5+3x

3+x

12.

Find the 6th term of the expansion (2x-y2)

10

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

are true, what one possible value of abc?

18.

If xyz=4 and y2z=5, what is he value of x/y?

19.

What is a non zero solution to the equation 2x5-30x

4=0

20. If the sum of 7 consecutive integers is zero, what is the

smallest of the 7 integers

8/11/2019 CE BOARD algebra

2/2

CE BOARD reviewer

ALGEBRAZherrinore

21. The area of a park in a map is 500 mm2. 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. The first term of a GP is 4 and the 6th

terms is 128.

What is the 11th

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 genderequality, 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