• 1. Suppose that four times the square of a number equals 20 times that number. What is the number?
A) 0 or 10
B) 0 or 1
C) 0 or 5
D) 0 or 20
  • 2. Which of the following terms is described as "the ratio of two polynomial expressions”?
A) rational algebraic expression
B) linear algebraic expression
C) rational algebraic equation
D) linear algebraic equation
  • 3. In a rational algebraic expression written in the form of P/Q, where P and Q are polynomials, the polynomial Q must not be equal to ________.
A) 0
B) 1
C) 2
D) βˆ’1
  • 4. Which of the following is the standard form of a linear equation in two variables?
A) 𝐴π‘₯ + 𝐡𝑦 = 𝐢
B) 𝑦 = π‘šπ‘₯ – 𝑏
C) 𝐴π‘₯ βˆ’ 𝐡𝑦 = 𝐢
D) 𝑦 = π‘šπ‘₯ + 𝑏
  • 5. The vertical change between two points is called _______.
A) up
B) down
C) run
D) rise
  • 6. In the equation 𝑦 = βˆ’2π‘₯ + 6, what is the slope?
A) -1/3
B) βˆ’1
C) 6
D) βˆ’2
  • 7. You are asked by your teacher to graph the linear equation whose slope and a point are given. What will you do first?
A) Draw a line passing the points.
B) Use the slope to identify the rise and the run.
C) From the given point, count out the rise and run.
D) Plot the given point.
  • 8. Which of the following represents a ratio of two polynomials?
A) (2π‘₯ + 1) βˆ’ (π‘₯ βˆ’ 4)
B) (4π‘₯βˆ’1)/(2π‘₯βˆ’3)
C) (π‘₯ + 1)(π‘₯ βˆ’ 3)
D) (π‘₯ βˆ’ 5) + (5π‘₯ βˆ’ 8)
  • 9. Vanness can accomplish his school project in 𝑧 hours. What part of his school project can be completed by Vanness after 2 hours?
A) 𝑧 + 2
B) 𝑧/2
C) 𝑧 βˆ’ 2
D) 2𝑧
  • 10. The formula for finding the area of a rectangle is 𝐴 = 𝑙𝑀, where 𝑙 is the length and 𝑀 is the width of the rectangle. What is the formula in finding the length (𝑙) of the rectangle given its area (𝐴)?
A) 𝑙/𝐴
B) 𝐴/𝑙
C) 𝐴/𝑀
D) 𝑀/𝐴
  • 11. 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.
  • 12. 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) 25 years old
B) 20 years old
C) 10 years old
D) 15 years old
  • 13. 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
B) 25
C) 20
D) 15
  • 14. In the quadrant l, the values of x, and y are always ____, and _____, respectively.
A) positive, negative
B) positive, positive
C) negative, positive
D) negative, negative
  • 15. The coordinates for the origin in the coordinate plane are________?
A) (0,1)
B) (1,1)
C) (1,0)
D) (0,0)
  • 16. Which of the following is true about point (5, 5)?
A) It lies in Quadrant II
B) It lies in y-axis
C) It lies in Quadrant I
D) It lies in x-axis
  • 17. 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.
  • 18. What will be the value of 𝐡 in the equation 3π‘₯ βˆ’ 𝐡𝑦 = 15 if π‘₯ = 4 and 𝑦 = 3?
A) 9
B) -1
C) 1
D) βˆ’9
  • 19. In the equation 2π‘₯ + 3𝑦 = 7, when 𝑦 = 1, which would be the corresponding value of π‘₯?
A) 4
B) 0
C) -2
D) 2
  • 20. If written in standard form, what are the values of 𝐴, 𝐡, and 𝐢 in the equation 2π‘₯ = 4(βˆ’π‘¦ + 5)?
A) 𝐴 = 2, 𝐡 = βˆ’4, 𝐢 = 20
B) 𝐴 = 2, 𝐡 = 4, 𝐢 = 20
C) 𝐴 = 2, 𝐡 = βˆ’4, 𝐢 = 5
D) 𝐴 = 2, 𝐡 = 4, 𝐢 = 5
  • 21. What is the slope of a line that passes through points (3, 8) and (3, βˆ’4)?
A) negative
B) one
C) zero
D) undefined
  • 22. Given the points (3, 2) and (βˆ’5, 2), find the slope of the line.
A) -8
B) 1
C) 0
D) undefined
  • 23. April is buying a pizza. The pizza costs Php 350 plus Php 45 for each additional topping. Which function correctly models the amount April will pay in 𝑦 pesos if she will have an additional π‘₯ toppings?
A) 𝑦 = βˆ’350π‘₯ + 45
B) 𝑦 = βˆ’45π‘₯ + 350
C) 𝑦 = 45π‘₯ + 350
D) 𝑦 = 350π‘₯ + 45
  • 24. In a boutique, each shirt (𝑠) costs Php 80, and each pair of pants (𝑝) costs Php 150. If you are going to spend exactly β‚± 1,000. Write an equation in standard form modeling this situation.
A) 150𝑠 + 80𝑝 = 1000
B) 80𝑠 + 150𝑝 = 1000
C) 𝑠 + 𝑝 = 1000
D) 𝑠 βˆ’ 𝑝 = 1000
  • 25. Which among the choices is the abscissa of a point?
A) π‘₯ βˆ’ intercept
B) 𝑦 βˆ’ intercept
C) 𝑦 βˆ’coordinate
D) π‘₯ βˆ’ coordinate
  • 26. Describe the graph of the linear equation 𝑦 = 8.
A) The graph is decreasing from left to right.
B) The graph is a horizontal line.
C) The graph is increasing from left to right.
D) The graph is a vertical line.
  • 27. What is the standard form of the equation 𝑦=βˆ’2π‘₯+1?
A) βˆ’2π‘₯βˆ’π‘¦=1
B) 2π‘₯+𝑦=1
C) 2π‘₯βˆ’π‘¦=1
D) βˆ’2π‘₯+𝑦=1
  • 28. If the graph of a linear equation passes through a point (1,βˆ’2) and a slope of 3, what form is being illustrated?
A) slope-intercept
B) point-slope
C) standard
D) two-point
  • 29. Which of the following pair of points have a slope of βˆ’3?
A) (βˆ’2,2) π‘Žπ‘›π‘‘ (4,5)
B) (4,2) π‘Žπ‘›π‘‘ (βˆ’2,5)
C) (2,5) π‘Žπ‘›π‘‘ (4,βˆ’2)
D) (3,4) π‘Žπ‘›π‘‘ (5,βˆ’2)
  • 30. Jojo’s father was able to harvest 100 kilos of ripe mangoes. He sold the mangoes for Php 90 per kilo. He wanted to determine how much would he earn from his harvest. What equation represents the earnings of Jojo’s father?
A) 𝑦=90 + 100
B) 𝑦=100π‘₯
C) 𝑦=100π‘₯+90
D) 𝑦=90π‘₯
  • 31. If x is the number of apples and y refers to the number of oranges, which linear equation in two variables best models the situation?
A) 20π‘₯+15𝑦=1,000
B) 20π‘₯βˆ’15𝑦=1,000
C) 15π‘₯+20𝑦=1,000
D) 15π‘₯+1000𝑦=20
  • 32. Mr. Willy has a rental business. He has bikes for rents with charges that can be estimated by a linear equation 𝑃=7β„Ž+100, where 𝑃 is the amount of rent to be paid and β„Ž 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) 𝑃135.00
B) 𝑃128.00
C) 𝑃121.00
D) 𝑃142.00
  • 33. Jamie rents a generator for 𝑃1,200.00 and an additional charge of 𝑃150.00 per hour of usage. How much will he pay after using it for 8 hours?
A) 𝑃2,400.00
B) 𝑃3,000.00
C) 𝑃2,800.00
D) 𝑃2,500.00
  • 34. Which of the following equations can be paired with π‘₯ βˆ’ 𝑦 = 4 to make a consistent and independent system?
A) π‘₯ + 𝑦 = 2
B) π‘₯ βˆ’ 𝑦 = 2
C) π‘₯ + 2𝑦 = 3
D) π‘₯ βˆ’ 𝑦 = 3
  • 35. What do you call a system of linear equations in two variables having only one solution?
A) inconsistent
B) consistent and dependent
C) inconsistent and dependent
D) onsistent and independent
  • 36. Which method is best to use when the numerical coefficients of the variables are either 1 π‘œπ‘Ÿ βˆ’ 1? A. algebraic B. elimination C. graphical D. substitution
A) algebraic
B) elimination
C) graphical
D) substitution
  • 37. In three more years, Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is Miguel now?
A) 11
B) 12
C) 10
D) 9
  • 38. The sum of two numbers is 15. If twice the first number is added to thrice the second number their sum would be 35. What are the numbers?
A) 9 and 6
B) 7 and 8
C) 12 and 3
D) 10 and 5
  • 39. 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 Php200.00 and each pair of shoes cost Php475.00.
B) Each bag cost Php150.00 and each pair of shoes cost Php525.00.
C) Each bag cost Php250.00 and each pair of shoes cost Php425.00.
D) Each bag cost Php275.00 and each pair of shoes cost Php400.00.
  • 40. A total of 315 Grade 8 students participated in a community outreach program organized by the local government. Some students rode in vans which hold 9 passengers each and some students rode in buses which hold 22 passengers each. How many of each type of vehicle did they use if there were 22 vehicles in total?
A) 13 vans and 9 buses
B) 15 vans and 7 buses
C) 9 vans and 13 buses
D) 7 vans and 15 buses
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