Republic of the Philippines
Department of Education
SCHOOLS DIVISION OFFICE OF CAMARINES NORTE
MATHEMATICS 8
SCORE:
FIRST QUARTER EXAMINATION
NAME :________________________________________
Direction: Identify what is being described in each number. Write the letter of the answers before the number.
______________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. Simplifying
______________2. All of the following are factors of 12x2 EXCEPT one. What is it?
A. 6
B. 12
C. x3
D. 12x2
______________3. Which of the following is a perfect square expression?
A. 81x2
B. 64x
C. 9x5
D. 16x7
______________4. What is the result when you square a binomial?
A. Binomial
C. Perfect Square Trinomial
B. Sum of Two Squares
D. Difference of Two Squares
______________5. What are the two numbers whose sum is -7 and whose product is 12?
A. 3 and -4
B. -3 and 4
C. -3 and -4
D. 3 and 4
______________6. What is the Greatest Common Factor (GCF) of 24 and 45?
A. 6
B. 3
C. 2
D. 1
______________7. 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)
______________8. Which of the following pair of numbers has a GCF of 8?
A. 2 and 3
B. 8 and 12
C. 16 and 40
D. 12 and 18
______________9. If one factor of 4x3 + 6x is 2x, what is the other factor?
A. 2x+3
B. 4x+6
C. 2x+6
D. 2x2+3
______________10. Which of the following expressions has factors of (4x - 5y) and (4x + 5y)?
A. 16𝑥 2 + 25𝑦 2
C. 4𝑥 2 − 5𝑦 2
B. 16𝑥 2 − 25𝑦 2
D. 4𝑥 2 + 5𝑦 2
2
2
______________11. Anne squared 3𝑥 + 4𝑦 as 9𝑥 + 16𝑦 , which of the following statement is TRUE?
A. The answer is correct because to square a binomial, distribute the exponent
B. The answer is wrong because the product of squaring a binomial is a trinomial.
C. The answer is correct because the product of squaring a binomial is another binomial
D. The answer is wrong because to square a binomial is to multiply the expression by 2.
______________12. What is the area of a square whose side is 4𝑥 − 1?
A. 16𝑥 2 − 8𝑥 + 1
B. 16𝑥 2 − 1
C. 16𝑥 2 + 8𝑥 + 1
D. 16𝑥 2 + 4𝑥 + 1
______________13. Father decided to divide his rectangular lot to his two sons as shown in the illustration below. What is
combined area of the two lots?
A. 𝑥 2 − 25
C. 𝑥 2 − 10𝑥 + 25
B. 𝑥 2 + 25
D. 2𝑥 2 − 50
______________14. The area of a square is 9𝑥2 + 12𝑥 + 4 square units. Which expression represents the length of the side?
A. (2x+3) units
B. (4x+9) units
C. (3x+2) units
D. (4x+3) units
Purok 3, Yakal, Calaburnay, Paracale, Camarines Norte
Contact No. 0977-856-4043
309621maximo@gmail.com
Republic of the Philippines
Department of Education
SCHOOLS DIVISION OFFICE OF CAMARINES NORTE
______________15. Which of the following statement describes a rational algebraic expression?
A. It is the reverse process of multiplication.
B. Fraction which numerator and denominator are polynomials
C. Fraction which numerator and denominator are whole numbers
D. It cannot be factored using only integers
______________16. Which expression represents s students split evenly into 5 groups?
𝑠
A. 5
B. 5𝑠
C. 𝑠 + 5
D. 𝑠 − 5
______________17. In an algebraic expression, what is the word that describes the letter that stands for an unknown
number?
A. term
B. coefficient
C. variable
D. product
______________18. In the expression 3p + 4, what parts of the expression are 3p and 4?
A. terms
B. coefficient
C. product
D. sum
______________19. Which value of x is not allowed in the expression
A. 0
B. -3
______________20. Which expression is in simplest form?
A.
𝑥2
𝑥
9
B. 𝑥 2+9
______________21. Which expression represents
A. 2x+2
B. 4x
𝑥 2 −𝑥−12
𝑥−5
C. 4
C.
2𝑥 2 −12𝑥
𝑥−6
𝑥 2 −4
𝑥+2
in simplest form?
C. 2x
D. 5
D.
𝑥 2 −6𝑥+9
𝑥 2 −𝑥−6
D. 0
9𝑥 4 −27𝑥 6
3𝑥 3
______________22. The expression
is equivalent to _________________.
A. 3x(1-3x)
B. 3x(1-3x2)
C. 3x(1-9x5)
D. 9x3(1-x)
𝑥+2
______________23. For what value of x will the expression 2𝑥+4be undefined?
A. -1/2
B. -1
C. -2
D. -4
𝑎−5
______________24. Which of the following values of the variable a will the expression −3𝑎+𝑎2 be
undefined?
A. 0 and 3
B. 0 and 9
C. 0 and -3
D. 0 and -9
3 9
______________25. What is the sum of 𝑥 + 𝑥 ?
A. 10/x
B. 11/2x
C. 12/2x
D. 12/x
5
2
______________26. What is the least common denominator (LCD) of 8𝑥 + 12𝑥 2 ?
A. 4x
B. 4x2
C. 8x
D. 2x2
3𝑥
8
______________27. What is multiplied by ?
A.
3𝑥
2
4
3
5
9𝑥
B. 2
C.
2𝑥
3
D. 3
C.
12𝑥𝑦
𝑥𝑦
D.
12𝑥𝑦
𝑥+𝑦
D.
2𝑥+1
𝑥−3
7
2
______________28. Find the sum of 𝑥 + 𝑦
A.
7𝑥+5𝑦
𝑥𝑦
______________29. What is the
A.
2𝑥−2
𝑥−3
7𝑥+5𝑦
𝑥+𝑦
10
difference if 𝑥−3
2𝑥+2
B. 𝑥−3
B.
is subtracted from
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2𝑥+9
𝑥−3
?
C.
2𝑥−1
𝑥−3
Republic of the Philippines
Department of Education
SCHOOLS DIVISION OFFICE OF CAMARINES NORTE
14𝑏7
7𝑏3
÷ 20𝑐 2
5𝑐 5
8𝑏4
B. 𝑐 3
𝑎+𝑏
𝑎2 −2𝑎𝑏+𝑏2
∙
3
3
𝑎 +𝑏
𝑎−𝑏
1
B. 𝑎−𝑏
______________30. Find the quotient:
A.
6𝑏4
𝑐2
______________31. Find the product:
𝑎+𝑏
A. 𝑎2+𝑏2
C.
10𝑏4
𝑐4
D.
C. 𝑎 + 𝑏
3(𝑥−5)
______________32. State the EXCLUDED VALUES of the rational expression: (𝑥−2)(𝑥+1) ∙
12𝑏4
𝑐5
D. 1
𝑥 2 −3𝑥+9
4(𝑥−7)
A. x≠5, 6, -1
B. x≠2, 1, -7
C. x≠3, 5, 9
D. 2, -1, 7
8
7
______________33. Julia bought 𝑥−1 mangoes and 𝑥−1 kasoy in Antipolo Pasalubong Market when she visited her friend
Ara. How many fruits did she buy in all?
15
15
15
15
A. 𝑥−1
B. 2𝑥−2
C. 𝑥 2 −2
D. 𝑥 2 +2
______________34. Francis can clean the garage in 3 hours, but it takes Angie 4 hours to do the same job. How long would
it take them to clean the garage if they worked together?
A. 13/2 hrs
B. 10/3 hrs
C. 12/7 hrs
D. 11/6 hrs
______________35. Garth can row 5 miles per hour in still water. It takes him as long to row 4 miles upstream as 16 miles
downstream. How fast is the current?
A. 3 mi/hr
B. 4 mi/hr
C. 5 mi/hr
D. 6 mi/hr
______________36. Who discovered the rectangular coordinate system?
A. Isaac Newton
C. Archimedes
B. Rene Galilie
D. Rene Descartes
______________37. A cartesian coordinate system is defined by two ______ lines.
A. opposite
B. perpendicular
C. parallel
D. straight
______________38. The value of the y axis is also called _______.
A. ordinal
B. cardinal
C. ordinate
D. abscissa
______________39. The cartesian plane is divided into _____ quadrants.
A. 1
B. 2
C. 3
D. 4
______________40. In which quadrant can we find the point that has the coordinates (-4,-5)?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
______________41. The general form of linear equation in two variable is _____________.
A. ax+bx+c=0
C. ax+bx+c=1
B. ax+by+c=1
D. ax+by+c=0
______________42. How many solutions does a Linear equation in two variables would have?
A. only one
B. two solutions
C. no solution
D. infinity
______________43. Graphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which are ____.
A. intersecting at exactly 1 point
C. coincident
B. parallel
D. intersecting at exactly 2 points
______________44. On his notes on linear equation in two variables, Ram found an equation 2𝑥 + 3𝑦 - 10 = 0. If you were
Ram, how would you describe the equation according to its form?
A. it is in standard form
C. it has variables
B. it has constant
D. it is in slope-intercept form
______________45. The graph of the linear equation 2x +3y = 6 cuts the y-axis at the point:
A. (2,0)
B. (0,3)
C. (3,0)
D. (0,2)
Purok 3, Yakal, Calaburnay, Paracale, Camarines Norte
Contact No. 0977-856-4043
309621maximo@gmail.com
Republic of the Philippines
Department of Education
SCHOOLS DIVISION OFFICE OF CAMARINES NORTE
______________46. What is the slope of the equation: y = -2x + 5 ?
A. 2
B. 5
C. -2
______________47. What is the y-intercept of the equation y = 5x – 8 ?
A. -8
B. -5
C. 8
______________48. Which letter in the equation below represents the slope?
y=mx+b
A. y
B. m
C. x
______________49. Which of the following equation has a slope of 2 and y-intercept of -1 ?
A. y= -2x + 1
B. y = 2x + 1
C. y = 2x - 1
______________50. Find the slope of the line.
A. 1/4
B. -1/4
C. -4
Prepared by:
D. -5
D. 5
D. b
D. y = -2x - 1
D. 4
Checked by:
EARL CHESTER A. RASCO
GEREMIE G. PAMING
Subject Teacher
School Testing Coordinator
Noted: JOHN A TABUZO
School Head
“The first step toward greatness is to
be honest’’
- Proverb
Purok 3, Yakal, Calaburnay, Paracale, Camarines Norte
Contact No. 0977-856-4043
309621maximo@gmail.com