Welcome to Academic Clinic’s sample Algebra exam for 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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Algebra Quiz
Question 1 
A  \({{(m+n)}^{2q}}\) 
B  \((m+n)\) 
C  \({{(m+n)}^{2q+1}}\) 
D  \(1\) 
Question 2 
A  \(y=3x+4\) 
B  None of the above 
C  \(x+y=4\) 
D  \(2y6x=2\) 
Question 3 
A  7 
B  8 
C  6 
D  5 
Question 4 
A  4 
B  2 
C  1 
D  3 
Question 5 
A  108 
B  71 
C  54 
D  60 
Question 6 
A  \(\{(0,3),(0,6),(2,10),(4,9)\}\) 
B  None of the above 
C  \(\{(1,4),(2,5),(3,6),(4,7)\}\) 
D  \(\{(2,4),(1,5),(0,8),(1,9)\}\) 
Question 7 
A  \(\frac{2x+1}{x^{2}4}\)

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

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

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

Question 8 
A  (2, 3) 
B  (3, 2) 
C  (3, 2) 
D  (2, 3) 
Question 9 
A  d/[h2] 
B  dh2 
C  [d/h]2 
D  h2 
Question 10 
A  Ang graph ay may iisang linya. 
B  Ang mga graph ng dalawang linya ay nagtatagpo sa point (2, 3). 
C  Ang mga graph ng linya ay dumaraan sa mga point (0, 2) at (0, 3). 
D  Ang graph ng dalawang linya ay parallel. 
Question 11 
A  28 
B  36 
C  34 
D  30 
Question 12 
1 
1 
3 
0 
2 

1 
2 
2 

1 
2 
2 
0 
A  \(1\pm \sqrt{3}\) 
B  \(\pm \sqrt{2}\) 
C  \(1\pm \sqrt{12}\) 
D  1 and 0 
Question 13 
A  (b – 1)(a – 1) 
B  (b + 1)(a + 1) 
C  (b + 1)(a – 1) 
D  (b – 1)(a + 1) 
Question 14 
A  18 
B  3 
C  5 
D  21 
Question 15 
A  4000 
B  1600

C  3200 
D  6400 
Question 16 
A  12 
B  9 
C  11 
D  10 
Question 17 
A  \(x=0\) 
B  \(x=\Re \) 
C  \(x\ne 2\) 
D  \(x\le 2\) 
Question 18 
PIPE 
Rate 
Time 
Work 
A 
\(\frac{1}{8}\) 
\(x\) 
\(\frac{x}{8}\) 
B 
\(\frac{1}{6}\) 
\(x\) 
\(\frac{x}{6}\) 
C 
\(\frac{1}{4}\) 
\(x\) 
\(\frac{x}{4}\) 
A  12 minutes 
B  36 minutes 
C  24 minutes 
D  1 hour 
Question 19 
A  0 
B  1 
C  1 
D  2 
Question 20 
A  \({{x}^{2}}+4xy+3{{y}^{2}}\) 
B  1 
C  2 
D  \(x+3y\) 
Question 21 
A  18.33ml 
B  23.33ml 
C  33.33ml 
D  8.33 ml 
Question 22 
A  11/7 
B  11/7 
C  7/11 
D  7/11 
Question 23 
A  14.33 
B  13.33 
C  12.33 
D  11.33 
Question 24 
A  b 
B  c 
C  d 
D  a 
Question 25 
A  5 
B  3 and 1/2 
C  2 and 2/5 
D  5/12 
Question 26 
A  200 sqm 
B  400 sqm 
C  250 sqm 
D  300 sqm 
Question 27 
A  224 
B  548 
C  250 
D  513 
Question 28 
TABLE 1 

\({{2}^{0}}=1.00\) \({{2}^{0.1}}=1.072\) \({{2}^{0.2}}=1.149\) \({{2}^{0.3}}=1.231\) \({{2}^{0.4}}=1.320\) 
\({{2}^{0.5}}=1.414\) \({{2}^{0.6}}=1.516\) \({{2}^{0.7}}=1.625\) \({{2}^{0.8}}=1.741\) \({{2}^{0.9}}=1.866\) 
A  20.125 
B  24.256 
C  23.255 
D  1 
Question 29 
A  PHP 5,153.13 
B  PHP 5,253.13 
C  PHP 5,000.53 
D  PHP 5200.37 
Question 30 
A  24 
B  25 
C  22 
D  20 
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Question 2 should be 2q – 1 not 2q + 1
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Questions 7 and 21 seem wrong. Please check again. The question in number 7 says it will add 50L of the 1% Buttermilk. But in the equation, it says 50L(0.04) which is the 4% Buttermilk solution. Also, in number 21, the answer should be (m+n)^2q1 since the other m+n was under the division bar and should be subtracted.
mali po yung sagot sa Q 11. dapat po 4±3√2 kase √72=6√2 divided by 2=3√2
22 out of 25…. 5 questions did not display choices
Nasan na yung test?
28/30…..yehah….sayang..madadali pa ang namalian..pero ok na yan hehe
27/30
there’s something wrong with other key answers
Please check the answer in question number 5. The crossmultiplication is wrong. Thanks!
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yey
Tagalog na po ba test sa algebra?