CARMEN NATIONAL HIGH SCHOOL

Carmen, San Agustin, Romblon

FIRST PERIODIC TEST in MATHEMATICS 8
NAME:_________________________________ DATE:___________________________
GRADE & SECTION:______________________ SCORE:__________________________
I. Choose the letter of the best answer. Write your c. Division of Rational Algebraic Expression
answer on a separate sheet of paper. d. All of the above
11. What is the Rectangular Coordinate System?
1. Algebraic expressions whose products are readily a. It is used for naming points in a plane.
seen. b. It is a plane used for graphing linear functions.
a. LCD c. Special Product c. It is used to determine the location of a point by
b. Factors d. None of these using a single number.
d. It is a two-dimensional plane which is divided
2. This is the process of finding the factors of an
by the axes into four regions called quadrants.
expression. 12. He is known as the “Father of Modern
a. LCD c. Rationalizing Mathematics.”
b. Factoring d. Evaluating a. Pythagoras c. Renѐ Descartes
3. It is a number greater than 1 which has only two b. Plato d. Albert Einstein
positive factors: 1 and itself. 13. It is a relation in which every element in the
a. Composite c. Variable domain is mapped to exactly one element in the
b. Prime d. Zero range.
4. Which of the following DOES NOT belong to the a. Equation c. Inequality
group? b. Function d. Rational
a. (x + 2)(x + 2) c. (2x – 3)(2x – 3) 14. In which quadrant can you locate the ordered pair
b. (2x + 6)(2x – 6) d. (3x + 2)(3x + 2) (-3,-3)?
5. Which statement is true? a. Quadrant I c. Quadrant III
a. The square of a binomial is also a binomial. b. Quadrant II d. Quadrant IV
b. The product of a sum and difference of two 15. It is the point of origin on the Cartesian Plane.
terms is a binomial. a. (0,0) c. (2,2)
c. The product of a binomial and a trinomial is the b. (1,1) d. (3,3)
square of a trinomial. 16. The following are examples of linear equation in
d. The terms of the cube of a binomial are all standard form EXCEPT:
positive. a. 3x + y = 4 c. 3x – 5y = 10
6. A ratio of two polynomials provided that the b. y = 3x – 4 d. 2x + y = 9
denominator is not equal to zero. 17. Which of the following is NOT a function?
a. Least Common Multiple a. One to One c. One to Many
b. Greatest Common Factor b. Many to One d. None of the above
c. Rational Algebraic Expressions 18. Which mathematical statement is correct?
d. None of the above a. (2x – y)(3x – y) = 6x2 – 5x2y2 +y2
7. Which of the following expressions is a rational b. (4x – 5)(4x – 5)= 16x2 + 25
algebraic expression? c. (3x – 4)(2x + 7) = 6x2 + 13x – 28
x
a. c. 4𝑦 −2 𝑧 −3 d. (2x + 5)2 = 4x2 + 25
√ 3y
19. Which of the following factors gives a product of
3𝑐 −3 𝑎−𝑏 𝑥 2 + 5𝑥 + 4?
b. d.
√(𝑎+1) 𝑏+𝑎 a. (x + 1)(x + 4) c. (x + 5)(x – 1)
8. Which of the following algebraic expressions could b. (x + 2)(x + 2) d. (x + 2)2
not be considered as rational algebraic 20. Annika factored the expression 15x2y3 + 10x4y +
expression?
5xy as 5xy (3xy2 + 2x3). Did Liza factor it correctly?
2 3
a. √50𝑥 c. 4𝑦 −9𝑧 a. No, because 5xy is not the common factor.
1 b. Yes, because the last term is cancelled out
𝑎−𝑏
b. 5𝑥 2 d. c. Yes, there exist a common factor on all terms
𝑏+𝑎
𝑎 𝑐 𝑎 𝑑 𝑎𝑑 d. No, because the last term when factored is 1
9. The formula, ÷ = • = represents: and should not be omitted
𝑏 𝑑 𝑏 𝑐 𝑏𝑐
a. Addition and Subtraction of Rational Algebraic 21. Austin squared 3x + 4y as 9x2 + 16y2, which of the
Expression following statement is correct with the answer of
b. Multiplication of Rational Algebraic Expression your classmate?
c. Division of Rational Algebraic Expression a. The answer is correct, because to square a
d. All of the above binomial distribute the exponent
𝑎 𝑐 𝑎±𝑐 b. The answer is wrong, because the product of
10. The formula, ± = represents: squaring a binomial is a trinomial.
𝑏 𝑏 𝑏
c. The answer is correct, because the product of
a. Addition and Subtraction of Rational Algebraic squaring a binomial is another binomial
Expression d. The answer is wrong, because to square a
b. Multiplication of Rational Algebraic Expression binomial is to multiply the expression by 2.
22. Your classmate was asked to square (2x – 3), he b.
5
d.
5𝑡
6𝑡 6
answered 4x2 – 9. Is his answer correct?
4𝑥 3𝑥 2 𝑦 2
a. Yes, because squaring a binomial always 28. • =
produces a binomial product. 3𝑦 10
b. Yes, because product rule is correctly applied. 2𝑥 3 𝑦 2𝑥𝑦
a. c.
c. No, because squaring a binomial always 5 5
produces a trinomial product. 5 2𝑥𝑦 3
d. No, because the answer must be 4x2 + 9. b. d.
2𝑥 3 𝑦 5
6𝑎𝑏2 9𝑎2 𝑏2
23. Aaron was asked by his teacher to simplify 29. ÷ =
4𝑐𝑑 8𝑑𝑐 2
on the board. He wrote his solution on the 2
3𝑎 3𝑎
board this way: c. c.
4𝑐 4𝑐
4𝑐 4𝑐
d. d.
Did he arrive at the correct answer? 3𝑎2 3𝑎
81𝑥𝑧 3 27𝑥 2 𝑧 2
a. Yes, the expressions that he crossed out are 30. ÷ =
all common factors. 36𝑦 12𝑥𝑦
b. Yes, the LCD must be eliminated to simplify a. –x c. z
the expression. b. x d. -z
c. No, a2 must be cancelled out so that the 𝑥−2 𝑥−2
1
31. + =
𝑥−1 𝑥−1
answer is . 2𝑥−4 𝑥−4
𝑎
d. No, a is not a common factor of numerator a. c.
𝑥−1 𝑥−1
𝑥−1 1+𝑥 2𝑥+4 𝑥+4
24. Your friend multiplied and . His solution is b. d.
2−𝑥 1−𝑥 𝑥−1 𝑥−1
presented below. 7 5
𝑥−1 𝑥+1 (𝑥−1)(𝑥+1) 𝑥+1 32. − =
• = (2−𝑥)(1−𝑥) = 4𝑥−1 4𝑥−1
2−𝑥 1−𝑥 2−𝑥 12 −2
a. c.
Is his solution correct? 4𝑥−1 4𝑥−1
a. No, there is no common factor to both 2 −12
b. d.
numerator and denominator. 4𝑥−1 4𝑥−1
b. No, the multiplier must be reciprocated first 33. Determine the slope of the line 3x + y = 7.
before multiplying the expressions. 1
a. 3 c. −3
c. No, common variables must be eliminated.
1
d. No, dividing an expression by its multiplicative b. -3 d.
3
inverse is not equal to one.
34. Rewrite 2x + 5y = 10 in the slope-intercept form.
25. Laiza added two rational algebraic expressions and 2 2
her solution is presented below. a. 𝑦 = −5𝑥 + 2 c. 𝑦 = − 5 𝑥 + 10
2 2
b. 𝑦 = 5𝑥 + 2 d. 𝑦 = 5 𝑥 + 10
35. Three steps to rewrite 3x – 4y = 7 into y = mx + b
Is there something wrong in her solution? are shown below.
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.
d. Yes. 4x – 4 is equal to x What is the correct order of these steps?
26. What rational algebraic expression is the same as a. II, III, I c. III, II, I
b. I, II, III d. II, I, III
?
a. x + 1 c. 1 II. YES or NO!
b. x – 1 d. -1 Examine the following expressions. If it is factored
correctly, write YES and if it is not, then write NO.
Perform the indicated operation:
5𝑡 4 36. 𝑥 2 − 𝑦 2 = (𝑥 + 𝑦)(𝑥 − 𝑦)
27. • 2=
𝑥 3𝑡 37. 4𝑥 2 − 36 = (2𝑥 + 6)(2𝑥 − 6)
6 6𝑡
a. c. 38. 16𝑎6 − 25𝑏 2 = (4𝑎3 − 5𝑏)(4𝑎3 − 5𝑏)
5𝑡 5
39. 𝑛2 + 16𝑛 + 64 = (𝑛 + 8)(𝑛 − 8)
40. 6𝑧 2 − 5𝑧 − 6 = (2𝑧 − 3)(3𝑧 + 2) Prepared by:
III. TRUE or FALSE!
Write TRUE if the given statement is true;
VINA V. TOME
otherwise, write FALSE. Subject Teacher

41. All functions are relations.

42. All relations are function.
43. All functions are relations but some relations are
Approved by:
not functions
44. If every vertical line intersects the graph no more
than once, the graph represents a function. PATRICIA M. MARQUEZ
45. A rule represents a function if and only if it can be Head Teacher IV
written in the form y=f(x).

IV. RELATION or FUNCTION!

Determine which of the following represents a
FUNCTION or just a RELATION.

46. {(1, 2), (2, 6), (3, -2), (4, -6)}

47.

48.

49.

50.

GOOD LUCK & GOD BLESS!!!