Welcome to Academic Clinic’s sample Algebra exam for the UPCAT. We do not have a timer for this quiz so you will have to time yourself and check if the time you’ve spent on answering the quiz is well within the time limit of the UPCAT.
Making the algebra quiz involved some coding for the special math characters involved so if the quiz doesn’t render well in your browser, please do let us know about it in the comments section. Please also let us know if there are any corrections for the quiz so that we can update it.
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We will be updating this quiz regularly by uploading additional questions. This means that people may take the quiz repeatedly with different questions appearing each time so do keep in touch.
For UPCAT tips, strategies, etc: you might want to check out our Ultimate Guide to the UPCAT which covers most of the frequently asked questions about this college entrance exam.
Algebra Quiz
Question 1

0


1


2


1

Question 2

\(\sqrt[n]{9}\)


\(\sqrt[9]{n}\)


\(\sqrt[3]{n}\)


\(\sqrt{3^{n}}\)

Question 3

y = 4 – 2x


y < 4 – 2x


cannot be determined


y > 4 – 2x

Question 4

71


60


54


108

Question 5

40


30


45


35

Question 6

34


30


36


28

Question 7

21


19


23


9

Question 8

15


25


10


20

Question 9

548


250


224


513

Question 10

5


7


8


6

Question 11

10


24


36


41

Question 12

(b – 1)(a + 1)


(b – 1)(a – 1)


(b + 1)(a + 1)


(b + 1)(a – 1)

Question 13

\(x^{2}  2x  3 = 0\)


\(x^{2} x  2 = 0\)


\(2x^{2}  2 = 0\)


\(x^{2} + 1 = 0\)

Question 14

3


1/3


2


5/2

Question 15

21


18


5


3

Question 16

y = (1/2)x + 1


y = 2x + 1


y = 2x  1


y = 2x

Question 17

3


5


2


4

Question 18

5


10


20


15

Question 19

Ang mga graph ng dalawang linya ay nagtatagpo sa point (2, 3).


Ang mga graph ng linya ay dumaraan sa mga point (0, 2) at (0, 3).


Ang graph ay may iisang linya.


Ang graph ng dalawang linya ay parallel.

Question 20

35


20


25


30

Question 21

11


10


12


9

Question 22

5


5/12


3 and 1/2


2 and 2/5

Question 23

d/[h2]


[d/h]2


h2


dh2

Question 24

7/11


11/7


7/11


11/7

Question 25

\(x^{2}+10x + 36\)


\(4x^{2}20x + 25\)


\(4x^{2}+10x + 25\)


\(9x^{2}12x4\)

Question 26

\(\frac{2x7}{x^{2}+4}\)


\(\frac{2x+1}{x^{2}4}\)


\(\frac{2x+7}{x^{2}+4}\)


\(\frac{2x7}{x^{2}4}\)

Question 27

(3, 2)


(2, 3)


(3, 2)


(2, 3)

Question 28

10


12


16


14

Question 29

1 min


3 min


2 min


4 min

Question 30

\(\frac{(1+\sqrt{3a})(\sqrt{a+2})}{a+2}\)


\(\frac{1+\sqrt{3a}}{\sqrt{a+2}}\)


\(\frac{\sqrt{3a}}{\sqrt{a+2}}\)


\(\frac{1+\sqrt{3a}}{a+2}\)

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