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 
Rate  Time  Distance  
Carol  55 kph  \(x+1\)  \(55(x+1)\) 
Charles  70 kph  \(x\)  \(70x\) 
A  None of the above 
B  3.67 hours 
C  4.67 hours 
D  1.67 hours 
Question 2 
A  12 and 27 
B  6 and 21 
C  2 and 17 
D  7 and 22 
Question 3 
A  1/3 
B  2 
C  3 
D  5/2 
Question 4 
A  \(\frac{3}{5}\) 
B  \(\frac{6}{5}\) 
C  \(\frac{5}{6}\) 
D  \(\frac{5}{3}\) 
Question 5 
A  8 
B  7 
C  6 
D  5 
Question 6 
A  \(\frac{2}{3}\) 
B  \(\frac{m}{3}\) 
C  \(\frac{2m}{3}\) 
D  \(mx\) 
Question 7 
A  \(4x^{2}+10x + 25\)

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

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

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

Question 8 
A  \(3x+y<9[/latex] 
B  [latex]3x+y\ge 9\) 
C  \(3x+y\le 9\) 
D  \(3xy\le 9\) 
Question 9 
A  \(x+4\) 
B  \(x2\) 
C  \({{\left( x2 \right)}^{2}}\) 
D  \(3x4\) 
Question 10 
A  y = 4 – 2x 
B  y > 4 – 2x 
C  y < 4 – 2x 
D  cannot be determined 
Question 11 
A  8.33 ml 
B  18.33ml 
C  23.33ml 
D  33.33ml 
Question 12 
A  The graph is a parabola with axis of symmetry \(x=1\) 
B  The graph is a parabola intersecting the xaxis n points at (2,0) and (8,0) 
C  The graph is a parabola opening upward. 
D  The graph is a parabola with vertex (3,25). 
Question 13 
A  3 and 1/2 
B  5/12 
C  2 and 2/5 
D  5 
Question 14 
Now 
After 15 years 

Sam 
\(x\) 
\(x+15\) 
Raffy 
\(x+25\) 
\(x+35\) 
A  10 
B  15 
C  25 
D  5 
Question 15 
A  \(x+3y\) 
B  2 
C  1 
D  \({{x}^{2}}+4xy+3{{y}^{2}}\) 
Question 16 
A  \((m+n)\) 
B  \({{(m+n)}^{2q+1}}\) 
C  \({{(m+n)}^{2q}}\) 
D  \(1\) 
Question 17 
A  7/11 
B  7/11 
C  11/7 
D  11/7 
Question 18 
A  4 
B  2 
C  1 
D  3 
Question 19 
A  25 
B  20 
C  24 
D  22 
Question 20 
A  Ang graph ay may iisang linya. 
B  Ang graph ng dalawang linya ay parallel. 
C  Ang mga graph ng dalawang linya ay nagtatagpo sa point (2, 3). 
D  Ang mga graph ng linya ay dumaraan sa mga point (0, 2) at (0, 3). 
Question 21 
A  y = 2x  1 
B  y = (1/2)x + 1 
C  y = 2x 
D  y = 2x + 1 
Question 22 
A  \(y+x+2=0\) 
B  \(3y+9x5=0\) 
C  \(9y3x+18=0\) 
D  \(9y+3x+18=0\) 
Question 23 
A  \(x^{2} + 1 = 0\)

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

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

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

Question 24 
A  \(\frac{12}{17}\) 
B  \(\frac{3}{2}\) 
C  \(\frac{15}{12}\) 
D  \(\frac{17}{12}\) 
Question 25 
A  12.33 
B  13.33 
C  11.33 
D  14.33 
Question 26 
A  \(x+1\) 
B  \(x1\) 
C  \(x2\) 
D  \(x+2\) 
Question 27 
A  Increase by 20% 
B  Decrease by 20% 
C  Increase by 120% 
D  Decrease by 120% 
Question 28 
x 
2 
4 
6 
8 
y 
3 
6 
9 
12 
A  \(y=kx\) where \(x={}^{2}\!\!\diagup\!\!{}_{3}\;\) 
B  \(y=\frac{x}{k}\) where \(k=1.33\) 
C  \(y=\frac{x}{k}\) where \(x={}^{3}\!\!\diagup\!\!{}_{2}\;\) 
D  \(y=kx\) where \(x={}^{3}\!\!\diagup\!\!{}_{2}\;\) 
Question 29 
A  8 
B  4 
C  2 
D  6 
Question 30 
A  1 
B  2 
C  1 
D  0 
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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?