- Mathematics
- 8 Grade RAM HALLE

DOÑA MAGDALENA H. GAFFUD HIGH SCHOOL Dammang West, Echague, Isabela SUMMATIVE TEST QUARTER I NAME Grade and Section SCORE 1. What is the process of finding the factors of an expression which is the reverse process of multiplication? A. factoring C. rationalization B. special product D. continuous division 2. The area of a rectangular garden is 9t 2 – 64 square units. If one side is 3t – 8, what is the other side? A. 3t – 8 C. t- 8 B. 3t + 8 D. t + 8 3. What is the complete factored form of 8????2 − 24???????? + 18????2 A. 2(2x − 3y)(2x − 3y) C. 2(3x + 2y)2 B. 2(2x − 3y)(2x + 3y) D. 2(3x − 2y)2 4. A rectangular garden has an area by 6x2 + x – 2 square meters. If the length is represented by 3x + 2, find a binomial that represents the width. A. 2x + 1 C. 2x − 1 B. x − 2 D. x – 2 5. The square of a number equals five times that number. Find the number. A. 0 or 1 C. 0 or 5 B. 0 or 3 D. 0 or 7 6. Find the number if one hundred less than the square of a number equals zero. A. −10 ???????? 10 C. −30 ???????? 30 B. −20 ???????? 20 D. −40 ???????? 40 7. A rectangular pond has a length of 8 m more than twice its width. Solve for the length and the width if the area of the said pond is 120 m2? A. ???? = 10 ????, ???? = 1???? C. ???? = 14 ????, ???? = 3 ???? B. ???? = 12 ????, ???? = 2 ???? D. ???? = 20 ????, ???? = 6 ???? 8. The area of the floor of a rectangular room is 84 square feet. The length of the room is 5 feet more than its width. Find the width and length of the room. A. 7 feet and 11 feet C. 8 feet and 11 feet B. 7 feet and 12 feet D. 8 feet and 12 feet P 9. In a rational algebraic expression written in the form of , where P and Q are Q polynomials, the polynomial Q must not be equal to ________. A. −1 C. 1 B. 0 D. 2 2 x −5 x +12 10. What is the value of the expression 2 when ???? = 2? x −1 A. 1 C. 3

B. 2 D. 4 4 x −3 x +5 11. What is the value of ???? that will make the expression 2 undefined? x −6 x+ 9 A. 1 C. 3 B. 2 D. 4 12. Marie takes ???? hours to plant 20 flower bulbs. Francine takes ???? hours to plant same number of flower bulbs. Which expressions below represents the rate of Marie and Francine working together? 1 1 A. ???? + ???? C. + y x 1 1 B. ???? – ???? D. − x y 13. Which of the following is the correct order of simplifying rational algebraic expressions? I. Multiply the remaining factors. II. Factor completely the numerator and denominator. III. Separate and divide out common factor/s if there is/are any. A. I, II, III C. II, III, I B. I, III, II D. III, II, I x3 −2 x 2 + x 14. Which of the following is the simplest form of ? x3 −x x+ 1 1−x A. C. x−1 x+ 1 x+ 1 x−1 B. D. 1−x x+ 1 15. Suppose the city plaza has a perimeter of 4???? and an area of s2. What is the ratio of the area to the perimeter of the city plaza in simplest form? 1 s A. C. 2 4 1 s2 B. D. 2s 4 x +1 16. Is the rational expression in simplest form? x2 −1 A. Yes, because the numerator and the denominator are in simplest form of a polynomial expression. B. Yes, because the numerator and the denominator have no common factor. C. No, because the numerator and the denominator have different degrees. D. No, because the denominator is not factored completely. 2 2 x −9 x −8 x+ 16 17. Find the product of 2 ∙ . x + x−20 3 x−9 x2 −x−10 x2 −x−14 A. C. 3 x +12 3 x +18

2 2 B. x −x−12 x −x−16 D. 3 x +15 3 x +21 r +9 2r +1 18. What is the quotient when is divided by ? r−2 r −2 r−2 r−9 A. C. 2r 2r r +2 r+9 B. D. 2r −1 2r +1 3 5 19. Find among the choices below the sum of + . x x −1 8 x−1 8 x−3 A. C. x( x +1) x(x +1) 8 x−2 8 x−4 B. D. x( x +1) x(x +1) r +9 2r +1 20. Subtract and . r−2 r −2 r−7 r−9 A. C. r−2 r−2 r−8 r−10 B. D. r−2 r−2 21. Write the expression “the ratio of five less than thrice a number x and four” in symbols. 5−3 x 3 x −5 A. C. 4 4 5<3 x 3 x <5 B. D. 4 4 22. The numerator of a fraction is three less than the denominator. If 4 is added to the numerator and to the denominator, the resulting fraction is equivalent to 3 . What is the final equation of this problem? 4 d−3+ 4 3 d+ 4 3 A. = C. = d+ 4 4 d−3+ 4 4 d−4+3 3 d +4−3 3 B. = D. = d+ 4 4 d −4 4 23. Jay’s father is twice as old as Jay. In 20 years, Jay will be two-thirds as old as his father. How old is Jay now? A. 10 years old C. 20 years old B. 15 years old D. 25 years old 24. Leah can clean the store in five hours. If Angelo helps, it takes them four hours. Without help, how many hours would it take Angelo to complete this job? A. 10 C. 20 B. 25 D. 15 25. The point (9, −1) is an example of______. A. labels C. fraction B. numbers D. ordered pair

26. Which of the following statements best describes the origin? A. The point contains positive and positive integers. B. The point contains negative and negative integers. C. The point contains positive and negative integers. D. The point contains neither positive nor negative integers. 27. Which of the following statement is FALSE? A. Points that lie in Quadrant I has all positive signs. B. Points that lie in Quadrant III has all negative signs. C. Points that lie in Quadrant II has all positive signs. D. Points that lie in Quadrant IV has positive and negative signs. 28. When plotting the point (−8,1), which describes the movement along the x- axis and y-axis in the correct order? A. 8 units right then 1 unit up C. 8 units left then 1 unit up B. 8 units down then 1 unit left D. 8 units up then 1 unit right 29. Which of the following is a linear equation in two variables? 1 A. x− =5 C. x + 6y3 = 9 y B. √ x−2 y=7 D. 3x + √ 5 y=2 30. The following statements below are true about linear equation in two variables except one. A. The coefficients ???? and ???? can be any real number. B. It can be written in standard form ???????? + ???????? = ????. C. It has no variable in the denominator. D. The degree of the equation is one. 31. Which equation below satisfies the ordered pair (−2, −7)? A. 2???? = ???? + 17 C. 11???? − ???? = −15 B. 5???? = 12 − ???? D. 10???? + 2???? = 34 32. If written in standard form, what are the values of ????, ????, and ???? in the equation 2???? = 4(−???? + 5)? A. ???? = 2, ???? = −4, ???? = 5 C. ???? = 2, ???? = 4, ???? = 5 B. ???? = 2, ???? = −4, ???? = 20 D. ???? = 2, ???? = 4, ???? = 20 33. Janna and Skylar are both trying to climb a mountain located in their hometown. Janna chose to start at the east side, while Skylar chose to start at the west side. The sides of the mountain are asymmetric in form as shown in the illustration below. What is the slope of each side of the mountain which Janna and Skylar would climb to? (Since both are climbing the mountain, express slope as positive.)

8 A. East = 2, West = C. East = 4, West = 1 7 8 7 B. East = , West = 2 D. East = 2, West = 7 8 34. Allan, whose favorite subject is Mathematics, is asked by his teacher to write the equation 15???? + 5???? = −35 in slope-intercept form. He answered 5???? = −15???? − 7. Is Allan correct? A. Yes, because he loves mathematics. B. Yes, because it is already the simplified answer. C. No, because the term −15???? must be positive. D. No, because the simplified answer must be ???? = −3???? − 7. 35. Which of the following linear equations represents the graph? 5 A. y= x +5 2 2 B. y= x +5 5 −5 C. y= x−2 2 2 D. y= x −2 5 −9 36. What is the trend of the graph of a linear equation y= x+ 2 8 A. The graph is a vertical line. B. The graph is a horizontal line. C. The graph is increasing from left to right. D. The graph is decreasing from left to right. 37. Describe the slope of the line given the graph on the right. A. The slope is zero. B. The slope is positive. C. The slope is negative. D. The slope is undefined. 38. Describe the trend of the graph of the equation ???? = 10. A. The graph is a vertical line. B. The graph is a horizontal line. C. The graph is increasing from left to right. D. The graph is decreasing from left to right. 3 39. Your classmate insisted that the graph of the linear equation ???? = is 4 increasing from right to left. Is your classmate correct? A. Yes, because the equation has a zero slope. B. Yes, because the equation has an undefined slope. C. No, because the graph of the equation is a vertical line. D. No, because the graph of the equation is a horizontal line. 40. The equation of the line ????=2????+5 passes through which point? A. (−4,−8) C. (1,7)

B. (−4,3) D. (2,7) 41. Which of the following equations is represented by the given graph on the right? A. ???? = 5???? − 2 C. ???? = 2???? − 5 B. ???? = 5???? + 2 D. ???? = 2???? + 5 42. What is the equation of a line which contains the point (3,7) and has a slope 2 ? 3 −3 2 A. y= x+5 C. y= x +5 2 3 −2 3 B. y= x +5 D. y= x +5 3 2 43. Mr. Willy has a rental business. He has bikes for rents with charges that can be estimated by a linear equation ???? = 7ℎ +100, where ???? is the amount of rent to be paid and ℎ is the number of hours the bike is used by the customer. How much will a customer pay for the rent after using the bike for a total of 5 hours? A. ????121.00 C. ????135.00 B. ????128.00 D. ????142.00 44. A Disc Jockey (DJ) was hired to host a post-wedding party that charges ????5,000.00 and an additional of ????350.00 per Hour. Would it be possible for the DJ to receive a payment of not less than ????6,000.00 after hosting the party for 3 hours? A. No, because the charge per hour is very low. B. No, because 3 hours of hosting will not be enough to earn at least ????6,000.00 C. Yes, because 3 hours of hosting is equivalent to an additional fee of ????1,050. D. Both A & B 45. Which of the following equations can be paired with ???? − ???? = 4 to make a consistent and independent system? A. ???? − ???? = 3 C. ???? + ???? = 2 B. ???? − ???? = 2 D. ???? + 2???? = 3 46. All of the following ordered pairs satisfy the system {2x−2 x− y=44 y=8 , EXCEPT: A. (0, −4) C. (4, 4) B. (2, 0) D. (0,2) 47. Which system of linear equations in two variables is represented by the graph at the right? A. {63x+5 x – 5 y =15 y =−30 B. {63x+10 x+5 y=15 y =30 −3 x−5 y=15 C. { 6 x−10 y=30

D. {36xx+5−10y=−15 y =30 48. What do you call a system of linear equations in two variables having only one solution? A. inconsistent C. consistent and dependent B. inconsistent and dependent D. consistent and independent 49. How do you describe the graphs of the system of linear equations in two variables which has no solution? A. coinciding C. parallel B. intersecting D. none of these 50. 3 bags and 2 pairs of shoes cost Php1, 500.00 while 5 bags and 8 pairs of shoes cost Php4 950.00. What is the cost of each bag and a pair of shoes? A. Each bag cost Php250.00 and each pair of shoes cost Php425.00. B. Each bag cost Php275.00 and each pair of shoes cost Php400.00. C. Each bag cost Php200.00 and each pair of shoes cost Php475.00. D. Each bag cost Php150.00 and each pair of shoes cost Php525.00. Prepared by: RAM HALLE C. GAFFUD Teacher