1. FIRST SUMMATIVE TEST IN MATHEMATICS 8
FOR QUARTER 1
SY:2022 - 2023
Name:_______________________________ Section:______________________
Test I.Multiple Choice
Direction:Read and understand the
following questions.Underline the letter
that corresponds to your answer.
1. What is the process of finding the factors of
an expression which is the reverse process of
multiplication?
a. factoring b. rationalization
c. special product d.continuous division
2.Which of the following has prime factors of
5∙ 3 ∙ 2 ?
a.10 b.15 c.30 d.35
3.What is the GCF of 12 and 36?
a.4 b.6 c.12 d.18
4.Which of the following has polynomial has
no common monomial factor?
a. 16x 3
− 6xy b. 3x 3
– 27x
c.6b 5
+ 50c d.12ab - 7
5.Which are the complete factors of 2x8
- 12x6
?
a. 2x6
(x2
- 6) b. 2x5
(x2
− 6𝑥)
c. 2𝑥4(x2
− 6) d. x6
(2x2
– 12x)
6. If one factor of 44x 3
+ 6x is 2x, what is the
other factor?
a. 2x + 3 b. 4x + 6
c. 2x + 6 d. 2x2
+ 3
7. Which of the following is NOT a difference of
two squares?
a. 9a2
− 81 b. c4
− 18
c. d4
– 25f2 d. 121e2
– 49
8.
Which of the following expressions has factors
of (4x - 5y) and (4x + 5y)?
a. 16x2
- 25 y2 b. 16x2
+ 25y2
c. 4x2
+ 5y2 d. 4x2
– 5y2
9.All are TRUE EXCEPT____________.
a. x 2
− 9 = (x – 3 )(x + 3)
b. 8x 2
− 27 = (2x – 3)( 4x 2
+ 6x + 9)
C. 16x 2
− 9 = (4X + 3)(4X – 3)
d. x 2
− 64 = (x + 4)( x 2
+ 4x + 16)
10.The quotient if x 3
− 27 is to be
Divided by x -3 is ____________.
a. x 2
− 3x + 6 b. x 2
+ 3x + 9
d. x 2
− 3x + 9 d. x 2
− 3x - 6
11.All are sum of cubes EXCEPT__________.
a. x 3
+ 8 b. 6s 3
+ 27
c. b 3
+ 216 d.8 a 3
+ 64
12.The area of a square is 𝑥2 + 8𝑥 + 16 square
units. Which expression represents the length
of the side?
a.(x + 16) b.(x + 4)2
c.(x - 4) (x - 4) d.(x - 4)2
13.What are the complete factors of the
polynomial 7𝑥 − 14?
A. 7(𝑥 − 1) B. 7(1 − 𝑥)
C. 7𝑥 – 1 D. 7(𝑥 − 2)
14. What are the missing terms in 8𝑥3 − 27 =
(2𝑥 − ___ ) ( 4𝑥2 + 6𝑥 + ___)?
a.9 and 3 b.1 and 27
c.3 and 9 d.27 and1
15. In the polynomial 64𝑥2– 100, one factor is
(8𝑥 − 10), what is the other factor?
a.8𝑥 + 50 b.8𝑥 − 50
c.8𝑥 − 10 d.8𝑥 + 10
16.Your classmate was asked to square (2x –
3), he answered 4x 2
− 9. Is his answer correct?
a. Yes, because squaring a binomial always
produces a binomial product.
b. Yes, because the product rule is correctly
applied.
c. No, because squaring a binomial always
produces a trinomial product.
d. No, because the answer must be 4x2 + 9
17.Which of the following are the factors of 27𝑟3
+ 64?
a. (3𝑟 − 4)(9𝑟2 + 12𝑟 + 16)
b. (3𝑟 + 4)(9𝑟2 − 12𝑟 + 16)
c. (3𝑟 + 4)(9𝑟2 + 12𝑟 + 16)
d. (3𝑟 − 4)(9𝑟2 − 12𝑟 + 16)
For item numbers 18 - 19, refer to the
problem below.
18.What type of factoring must be applied in
the given problem?
a.difference of squares
b.sum of cubes
c.common monomial
d.perfect square trinomial
19.What is the measure of the side of the
garden?
a.(x + 4) m b.(2𝑥 + 5) m
c.(x - 4) m d.(5𝑥 − 2) m
20. Which of the following expressions is NOT
a rational algebraic expression?
a.
x+ 3
4x−5
b.
m2− 3
m1/2
c. (
2
b
)
3
d.
3
x
The square garden has
an area of (x2
+ 8x + 16 m2
.
Find the dimensions.
SCORE:

2. 21.Illustrate a rational algebraic expression
whose numerator is r and the denominator is
s.
a.sr b.
s
r
c.
r
s
d.rs
22.What is the simplest form of
ab2
ab
?
a.1 b.ab
c.b d.a
23.Which of the following will give a result of
x – 3 when simplified?
a. .
x2− 9
x
b.
x2− 9
x−3
c.
x2− 9
x+3
d.
x2+ 9
x−3
24. What expression is the same as ?
a. 𝑦 + 5 b.𝑦 − 5
c.2𝑦 + 5 d.2𝑦 − 5
25.Vivian was told to simplify the expression
below :
x2
− 4
3x − 6
Which of the following is the correct solution?
a.
x2− 4
3x−6
=
(x− 2)( x−2)
3(x−2)
=
x−2
3
b.
x2− 4
3x−6
=
x−4
−3
c.
x2− 4
3x−6
=
(x+ 2)( x−2)
3(x−2)
=
x+2
3
d.
x2− 4
3x−6
=
(x− 2)( x−2)
(x−2)
= x-2
26. Laiza added two rational algebraic
expressions and her solution is presented
below.
4x + 3
2
+
3x − 4
3
=
4x + 3 + 3x − 4
2 + 3
=
7x + 1
5
Is there something wrong in her solution?
a. Yes. Solve first the LCD before adding the
rational algebraic expressions.
b. Yes. Cross multiply the numerator of the
first expression to the denominator of the
second expression.
c. Yes. She may express first the expressions
as similar fractions.
d. Yes. 4x – 4 is equal to x
27. Your friend multiplied His
solution is presented below:
Is his solution correct?
a.No. There is no common factor to both
numerator and denominator.
b. No. The multiplier must be reciprocated
first before multiplying the expressions .
c.No. Common variables must be eliminated.
d.No. Dividing an expression by its
multiplicative inverse is not equal to one.
28.Find the product of
a.
3
x
b.
x2
3
c.
x
3
d.
3
x2
29 Find the sum of .
a.
3
x2 b.
3x
x−1
c.
3x2
x−1
d.
3x2
x2−1
30. When
3
x−5
is subtracted from a rational
algebraic expression, the result is
− x−10
x2−5x
.What
is the rational algebraic expression?
31.What rational algebraic expression is the
same as
x2−1
x−1
?
a.x + 1 b.x – 1
c.1 d.-1
32.What is the LCD of ?
a. 3a2
b.3a
C.6a d. 6a2
33. Angelo can complete his school project in
x hours. What part of the job can be
completed by Angelo after 3 hours?
a.x + 3 b.x – 3
c.
𝑥
3
d.
3
𝑥
34.Kim and Dominic can paint their apartment
in 2 days. Working alone, Kim can complete the
job in 3 days less than Dominic, working alone.
How long would it take Kim to complete the
painting, working alone?
A.3 b.4
c.5 d.none of these
35.Which of the following points is located in
QIII?
a.(-1, 2) b.(-2, -3)
c.(3, -5) d.(1,8)
36. Which of the following is true about the
points in Figure 1?
a. J is located in Quadrant III.
b. C is located in Quadant II.
c. B is located in Quadrant IV.
d. G is located in Quadrant III.
37.All points are located in QII EXCEPT______.
a.(-2, 4) b.(-13, 0)
c.(-4, 1) d.(-1,1)
38.Which of the following is FALSE ?
a.The coordinates of point in QIII are (+, +)
b.Point (-1, 0) is located in the x – axis.
c.The x and y axis meet at the origin.
d.The horizontal axis is the y -axis
39.Which of the following statements is FALSE
based from the given illustration ?

3. I.Point C is in QIII
II.Point D is on the
y – axis
III.Point F has
coordinates (3, -3).
IV.Point B is on the
y – axis
a.I and II b.II only
c.I, II and II D.II and IV
40.Where is (-1, 0) located?
a.QI b.QII
c.y – axis d.x – axis
Test II.TRUE or FALSE
Direction:Determine whether the following
statements are TRUE or FALSE.Write X if
the statement is TRUE and Y if the
statement is FALSE.Write your answer on
the blank before the number.
_____41.The coordinates of the origin is
(0 , 0).
_____42.The coordinates of Point A is (-11, -
3).It is located in QII.
_____43.Pythagoras discovered the Cartesian
Coordinate System.
_____44.Rectangular Coordinate System has 4
quadrants.
_____45.The abscissa of Point C whose
coordinates are (-4, 5) is 5.
_____46.In finding the sum of dissimilar
rational algebraic expressions, find the GCF
first of the denominator.
_____47.The LCD of
3
ab2 and
4
ab3c
is ab2
c.
_____48.The quotient of
x2 −9
x
÷
3x−9
2x
is
x+3
2
.
_____49.The sum of is
10
a−5
.
_____50.In dividing rational algebraic
expression, get the reciprocal of the divisor
and multiple it in the dividend.
Prepared by:
IRISH RHEA F. FAMODULAN
Teacher I
IVAN L. LINATOC
Teacher
NOTED:
NORA M. VILLAVICENCIO, PhD
Principal IV
_________________________________
PARENT’S SIGNATURE/DATE