Review Test in Mathematics 8 (SET A)

SY 2024 - 2025

Name: _________________________________________ Date: ______________

Grade & Section: ______________________________ Score: _____________
I. Multiple choice.
Directions: Read the items carefully. Write the letter of the correct answer in the space
provided.
______1. Which of the following statements is TRUE for a perfect square trinomial?
I. The first term is a perfect square.
II. The middle term is twice the product of the square roots of the first and the
last terms.
III. The middle term is the product of the first and the last terms.
IV. The last term is a perfect square.
V. All the terms are perfect squares.
A. I, II and III only B. II, III and IV only
C. I, II and IV only D. V only
______2. Which of the following is the reverse process of multiplying polynomials?
A. Factoring B. Factors C. Product D. Multiplication
______3. What is the complete factored form of 4𝑥2 + 16𝑥𝑦 + 16𝑦2 ?
A. (2𝑥 + 4𝑦)2 B.(2𝑥 − 4𝑦)2 C. (2𝑥 + 4𝑦)(2𝑥 − 4𝑦) D. (2𝑥 − 4𝑦)(2𝑥
− 4𝑦)
______4. In x3 + y3, Naoemi gets the first factor as (x + y), the other factor will be __________?
A. x2 + xy + y2 B. x2 - xy + y2 C. x2 + xy - y2 D. x2 - xy - y2
______5. Find the value of k so that kx2 – 36 will have the factors of (5x + 6) and (5x – 6).
A. 25 B. 12 C. ‒10 D. ‒14
______6. Joeliah Isabel factored the expression (15x 2 + 10x4y + 5xy) as 5xy(3xy2 + 2x3). Did
Joeliah factor it correctly?

A. Yes, because the last term is cancelled out

B. Yes, there exist a common factor on all terms
C. No, because 5xy is not the common factor
D. No, because the last term when factored is 1 and should not be omitted

_____7. If the area of a square garden is (4x 2 - 12x + 9) units, is it possible to factor and solve its
sides?
A. No, the area is not factorable. C. Yes, the area is a perfect square trinomial.
B. No, one of the sides must be given. D. Yes, using factoring the difference of two
square
______8.Find the missing term: x3 – 8 = (x – ___)(x2 + 2x + 4)
A.2 B. 4 C. 6 D. 8
_____9. Which of the following illustrates a rational algebraic expression?
x− y x
A. √4 x B.
x+ y
C.
0
D. √x
_____10. Which of the following is NOT a rational algebraic expression?
x x− y x
A.
y
B.
x+ y
C.
−3
D. √x
2
a −1
_____11. Which of the following is the simplest form of 2 ?
a −1
A. 0 B. 1 C. −1 D. 2
 2+ y
_____12. Simplifying the expression , which of the following must not be the value of x.
x−3

A. 3 B. 4 C. ‒3 D. ‒4
2x
_____13. Which of the following is the simplified form of the rational expression ?
6y
x x 2x 2x
A. B. C. D.
y 3y 3y 6y
2 3 4
2a b c
_____14. Simplify the rational expression 4 4
.
4 a bc
2 2 2
2b b b a
A. B. C. D.
a 2a
2
a
2
2b
2

( )
0
4 x 2+ 6 x+ 2
_____15. What is the simplified form of ?
(3 x−1)(4 x+ 2)
x+1
A. B. 0 C. 1 D. x + 1
3 x −1
2
x +2 x+ 1
_____16. Which of the following is the simplest form of 2
?
x −1
x+ 1 x+ 1 1−x x−1
A. B. C. D.
x−1 1−x x+ 1 x+ 1
a a
_____17. Give the sum of +
b b
2 2
a a 2a 2a
A. B. C. D.
b
2
b 2b b
______18. Laiza added two rational algebraic expressions, and her solution is presented below.
4 x +3 3 x −4 4 x +3−3 x + 4 7 x+7
+ = = . Is there something wrong in her solution?
2 2 2 3
A. Yes. Solve first the GCF 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 and add similar terms.
D. No. The answer is correct.
4x 2 2
∗x y
______19. Find the product x y
10
2 2 2 2
2x y 5x y 2x y 2
A. B. C. D.
5 2 5 5
2
a −1
______20. Aaron was asked by his teacher to simplify 2
on the board. He wrote his solution on
a −a
the board this way:
2
a −1 ( a−1 ) (a+1)
2
= = 1. Did he arrive at the correct answer?
a −a a(a – 1)
A. No. a is not a common factor of numerator.
a+1
B. No. a-1 must be cancelled out so that the answer is .
a
C. Yes. The LCD must be eliminated to simplify the expression.
D. Yes. The expressions that he crossed out are all common factors.
_____21. For the coordinates of the point in quadrant IV, the x-value and yvalue are always _____
and ______, respectively.
A. negative, positive B. positive, negative C. negative, negative D. positive, positive
_____22. Which ordered pair illustrates the origin plotted in the cartesian plane?

A. B. C. D.

_____23. Which of the following illustrates the standard form of linear equation in two variables?
A. Ax+ By=C B. y=mx+b C. Ax+ By+ C=0 D. Ax+ By−C=0

B. 𝑥 − 𝑦 = 11
_____24. . Which of the following linear equations in two variables is written in standard form?
A. 2𝑦 = 3𝑥 − 4 C. 5𝑥 = 7 – 4𝑦 D. 6𝑥 − 8𝑦 + 7 = 0
_____25. Find the slope of the line passing through the points (-3,2), (1,-4).
A. 2 B. 3/2 C. –3/2 D. –2
Review Test in Mathematics 8 (SET B)
SY 2024 - 2025

Name: _________________________________________ Date: ______________

Grade & Section: ______________________________ Score: _____________
I. Multiple choice.
Directions: Read the items carefully. Write the letter of the correct answer in the space
provided.

_____ 1. The steepness of a line can be measured by the ratio of its “rise” to its “run” called the
_______.
A.function B. relation C. slope D. y – intercept
_____2. The graph of x=3 is a vertical line. What is its slope?
A.0 B. 3 C. −3 D. undefined
_____3. Rewrite the equation x + y = 5 into slope-intercept form y = mx +b.
A. x - y=5 C. y = -x- y

_____4. Which of the following is the standard form of the equation 𝑦 = −3𝑥 + 4?
B. y = -x + 5 D. y = x +5

A. 3𝑥 − 𝑦 = 4 B. 3𝑥 + 𝑦 = 4 C. 3𝑥 + 𝑦 = −4 D. 3𝑥 − 𝑦 = −4
_____5. In the equation 6𝑥 + 𝑦 = 2, what is the slope?
A. 6 B. −2 C. 2 D. −6
_____6. At what point does the graph of y=− x+3 intersect the y -axis?
A. ( 0 , 3 ) B. ( 0 ,−3 ) C. ( 1 , 0 ) D.
(−1 , 0 )
_____7. What linear equation is described by the graph at the right?
A. x + y=1 C. 2 x+ y=1

_____8. What does the graph of the line look like if the 𝑥 and 𝑦-intercepts
B. x− y =1 D. 2 x− y=1

are (2,0) and (0,2), respectively?

_
_____9. What is the trend of the graph of a linear equation having a slope of − 3 .
A. The graph is a vertical line. C. The graph is increasing from left to right.
B. The graph is a horizontal line D. The graph is decreasing from left to right.
______10. Which graph best describes a linear equation with positive slope?

_____11. Given two points (𝑥1, 𝑦1) and (𝑥2, 𝑦2) where 𝑥1 ≠ 𝑥2, which of the following shall be
A. B. C. D.

used to determine the equation of the line?

A. 𝑦 = 𝑚𝑥 + 𝑏 B. 𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1) C. D. y - 𝑦1 = (𝑥- 𝑥1)
x y y 1− y 2
+ =1
_____12. What is the slope (𝑚) and y – intercept (𝑏) of the equation 𝑦 = 2𝑥 − 4?
a b x 2−x 1

A. 𝑚 = 2 𝑎𝑛𝑑 𝑏 = 4 B. 𝑚 = 2 𝑎𝑛𝑑 𝑏 = – 4 C. 𝑚 = 4 𝑎𝑛𝑑 𝑏 = 2 D. 𝑚 = – 4 𝑎𝑛𝑑 𝑏 = 2

_____13. What is the equation of a line that passes through the points (1, 3) 𝑎𝑛𝑑 (−2, 5)?

_____14. In the equation −3𝑥 + 𝑦 = 1, what is the 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡?

A. −2𝑥 + 3𝑦 = 11 B. 2𝑥 − 3𝑦 = 11 C. 2𝑥 + 3𝑦 = 11 D. 3𝑥 + 2𝑦 = 11

A. −3 B. −1 C. 1 D. 3
_____15. Find the equation of the line with slope of 4 and y - intercept 5?

_____ 16. What is the slope (𝑚) and y – intercept (𝑏) of the equation 𝑦 = 2𝑥 − 4?
A. y=5 x +4 B. y=4 x +5 C. y=−5 x−4 D. y=−4 x +5

A. 𝑚 = 2 𝑎𝑛𝑑 𝑏 = 4 B. 𝑚 = 2 𝑎𝑛𝑑 𝑏 = – 4 C. 𝑚 = 4 𝑎𝑛𝑑 𝑏 = 2 D. 𝑚 = – 4 𝑎𝑛𝑑 𝑏

=2

_____17 The cost of manufacturing x number of pencils is given by the equation y=2 x +10.
How much would it cost to manufacture 50 pencils?
A.2 B. 10 C. 100 D. 110
_____18. Which of the following is an example of systems of linear equation in two variables?
A. 2x−7 y=8 B. 3x+5 y=−2 C. x +¿ 9y = 2 D. 4 x+ ¿ 1 = 8
x−4 y=9 2 x−3 y ∠ 12 3 y−7=11
_____19. In which category does the graph of the system {
y=−2 x+ 1
y=−2 x+ 1
lie?

A. coinciding B. intersecting C. parallel D. cannot be determined

_____20. Which of the following illustrates systems of linear equation in two variables?
A. Ax−By=C B. Ax+ By=C C. Ax+¿ By = C D. Ax+¿ C = 8
Ax−By=C Ax−By ∠ C By−C=11

_____21. How do you describe the graphs of the system of linear equations in two variables which
has no solution?
A. coinciding B. intersecting C. parallel D. none of these
______22. Which of the following graphs illustrate equal slopes?
A. B. C. D.
______23.. What is the solution to the system of equations shown in the graph?
A. (0, −1)
B. (0,2)
C. (0,3)
D. (3,0)

_______24.. What is the solution to the system {32xx−5+5y=−2

y=7
?
A. (-1,-1) B. (-1, 1) C. (1, -1) D. (1,1)

_______25.. Which ordered pair is a solution of the system of equations below?

{2 x−4
x− y=3
y =8
A. (2,1) B. (-2, 1) C. (2, -1) D. (-2,-1)