GRADE 8
First Quarter Examination
School Year 2023 - 2024
Name: ________________________________ Score: ________
Date: _________________________________
I. MULTIPLE CHOICE TEST
Write the letter of your correct answer on the space provided before the
number. Use CAPITAL LETTER. (10 points)
____ 1. (L.O .1; R) What are the steps on multiplying polynomials?
I. Add the powers of the same variables using the exponent rule.
II. Simplify the resulting polynomial by adding or subtracting the like terms.
III. Multiply each term in one polynomial by each term in the other
polynomials using the distributive law.
a. II, I, and III
b. II, III, and I
c. III, I, and II
d. III, II, and I
____ 2. (L.O. 3; R) It is the process of breaking certain kinds of mathematical
equations down into their parts.
a. Classifying
b. Dividing
c. Eliminating
d. Factoring
____ 3. (L.O. 7; Ap) What must be the middle term in 16a 2+__+14 to make it a perfect
square?
a. 8a
b. 16a
c. 32a
d. 64a
____ 4. (L.O. 6; U) What makes 9x2-100 a difference of two squares?
a. The first and second terms are perfect squares and there is a minus sign
between the terms.
b. There is a minus sign between the terms.
c. The highest degree in the binomial is 2.
d. The binomial is in the form of a2-b.
____ 5. (L.O. 2; U) What type of factoring is most appropriate to factor 8x 3-24y3?
a. Factoring difference of two cubes
b. Factoring difference of two square pattern
c. Factoring perfect square trinomial
d. Factoring polynomials with greatest common monomial factor
____ 6. (L.0. 4; E) Michelle and Darwin are given the same expression to factor. The
expression is 15x2y3+10x4+5xy. Michelle factored the expression as 5xy (3xy 2+2x3),
while Darwin factored it as 5x 2(3y3+10x2)+5xy. Who among them factored the
expression completely?
a. Darwin’s answer is correct because he associates the terms first before he
factored it using the common monomial factor.
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b. Michelle got the factor correctly because she got first the common monomial
factor.
c. Michelle and Darwin’s answer are both correct because they used different
patterns in factoring.
d. Neither of them factored it correctly because the factor should be 5xy
(3xy2+2x3+1)
____ 7. (L.O. 5; An) Below is the solution of Mary in factoring 10a 3+25a-4a2-10.
Solution:
10a3+25a-4a2-10 = (10a3+25a) - (4a2-10)
= 5a (2a2+5) – 2(2a2+5)
= (2a2+5) (5a-2)
What makes Mary’s solution incorrect?
a. 5a (2a2+5)
b. - (4a2-10)
c. – 2(2a2+5)
d. (10a3+25a)
____ 8. (L.O. 8; Ap) A covered court has an area of 12m 2. If the length is 4 meters
longer than the width, what are the dimensions of the covered court?
a. 2m and 4m
b. 2m and 6m
c. 3m and 3m
d. 3m and 9m
____ 9. (L.O.6; Ap) Factor 4a2-49 completely.
a. 4 (a2-49)
b. 4 (a2+49)
c. (2a+7) (2a-7)
d. (2a-7) (2a-7)
____ 10. (L.O. 1; C) Rayne is asked to get the product of two polynomials: (2x+7) (3x-
5). The teacher told her that she needed to show another way of multiplying
polynomials other than the FOIL Method and Distributive Property. What is the best
alternative way that Rayne could use to get the product of the two polynomials?
a. She can multiply the polynomials using the box method where she will make a
box where each cell row and column is a term.
b. She can assume that the value of x is 2 then substitute it in the equation.
c. She can equate the two expressions as 2x+7=0 and 3x-5=0 and through additive
and multiplicative inverse she can multiply the values of x.
d. She can multiply the first terms and last terms that will result to 6x 2-35.
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KEY ANSWERS:
Test I.
1. C
2. D
3. B
4. A
5. D
6. D
7. B
8. B
9. C
10. A
Prepared by: Approved:
HANNAH A. FLORES JUSTIN PAUL D. VALLINAN
Student Teacher Instructor, EDUC 105
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