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Entrance Examination Reviewer PDF – Study Guide for Academic Exams ( multiple-choice exercises, and detailed solutions 2025)

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The Entrance Examination Reviewer PDF is a comprehensive study resource for students preparing for academic entrance exams. This guide includes practice questions, multiple-choice exercises, and detailed solutions covering key subjects such as mathematics, English, science, and general knowledge. Ideal for exam preparation, self-study, and classroom review, this resource helps learners reinforce essential concepts, improve test-taking skills, and boost confidence to succeed in entrance examinations. Updated for 2025, it aligns with current academic standards and exam formats.

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Institution
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Uploaded on
October 22, 2025
Number of pages
13
Written in
2025/2026
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Exam (elaborations)
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ENTRANCE EXAMINATION II. Algebra
REVIEWER 1. 5x+8-2x+5
3x+13

2. 3x+5y-9x+7y
I. General Mathematics -6x+12y

1. It is the set of first coordinates 3. 9(5x+4)
Domain 45x+36

2. It is the set of second coordinates
4. 5(3x+4)-7x+8
Range
8x+28
3. It is a set of ordered pairs
Relation 5. x^2 • x^3
x^5
4. It is a relation in which each element of
the domain corresponds to exactly one 6. x^3 • x^-8
element of the range 1/x^5
Function
7. (4x^3)(5x^2)
5. Which of the following relations are 20x^5
functions
f={(1,2),(2,2),(3,5),(4,5)}
g={(1,2),(1,3),(2,5),(2,6)} 8. x + x
2x
6. Given y=3x+7, what is f(-2)?
1 9. x^0 =?
1
7. What is the set of all possible values that
the variable x can take in relation 10. Default operation of algebra
Domain Multiplication

8. When dividing two fractions or rational
expressions, multiply the dividend with the III. Arithmetic
____ of the divisor
Reciprocal
1. (19 - 7) ÷ 4 + 11
14
9. if f(x)=x+7 & g(x)=2x-3, what is (f-g)(x)
10-x
2. 8 + 2 ⋅ 7
10. Given f(x)=2x-5 & g(x)=3x+4, find 22 (remember MDAS)
(f•g)(x)
6x^2-7x-20
3. Simplify: 50 - (35 - 10 ⋅ 2)
35


1

, 4. Simplify: 63 ÷ 7 - 3 ⋅ 2 + 4
7 4. Obtuse angle 2

More than 90°, Less than 180°

5. Simplify: 42 - 2 ⋅ (9 - 3) + 3
33
5. Sum of two angles are called ____
when their measures add to 90 degrees
COMPLEMENTARY ANGLES
6. 4⋅7 - 6^2 + 3
-5 6. Sum of two angles are called ____
when their measures add to 180
7. 40 + 5^2 - 7⋅4 degrees
37 SUMPLEMENTARY ANGLES


8. 24 - 24 ÷ 3 + 1 7. Two or more lines that lie in the
17 same plane and never intersect each
other
PARALLEL LINES
9. What does the ( E )in PEMDAS
mean? 8. Lines, segments or rays that
Exponents intersect to form right angles
PERPENDICULAR LINES
10. 1/2 + 2/3
1 1/6 9. Two or more lines that share exactly
one common point
INTERSECTING LINES

IV. Geometry and Trigonometry 10. What does SOH CAH TOA stand
for?
sine, cosine, and tangent

V. Physics

1. States that any object in motion
will continue to move in the
same direction and speed unless
external forces act on it.
a. FIRST LAW OF MOTION
(inertia)
1. Measurement of right angle b. SECOND LAW OF MOTION
90° c. THIRD LAW OF MOTION


2. Acute angle 2. A force caused when the mass
Less than 90° of physical bodies attract each
other.
3. Straight angle a. MOTION
180° b. MAGNETIC
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