Multiple Choice. Read each question carefully then write the letter of your answer on your answer sheet. For Questions 1–2: Fatima has a total of 12 chocolates as her prize during the club fair at DALIS. She gave some chocolate to her friend, and now she has 7 chocolates left. Which can be the equation that represent the number of chocolate Fatima gave away?

For nos. 3–4: A local bookstore offers a membership program where members receive 15% discounts on all purchases. If the total cost is C pesos for a member buying n books, each priced at p pesos. If the expression that represents the given situation is $$C = 0.85np$$ . In the expression $$C = 0.85np$$ , which of the following represents the variable?

For nos. 3–4: A local bookstore offers a membership program where members receive 15% discounts on all purchases. If the total cost is C pesos for a member buying n books, each priced at p pesos. If the expression that represents the given situation is $$C = 0.85np$$ . How would the total cost change if the bookstore decided to increase the discount to 20%?

For nos. 5–6: The Dela Cruz Family will have their summer get away at Batangas City, and they decided to rent a car. A car rental company charges a base fee of 500 pesos plus 20 pesos per kilometer driven. If the Dela Cruz Family drives for 150 km, how much is the total cost?

For nos. 5–6: The Dela Cruz Family will have their summer get away at Batangas City, and they decided to rent a car. A car rental company charges a base fee of 500 pesos plus 20 pesos per kilometer driven. If they were charge of 2780 pesos, how far did they travel?

For nos. 7–9: Lisa is planning a small business selling handmade bracelets. She determined the cost to make each bracelet is 24 pesos and she wants to sell each for x pesos. She also has affixed monthly cost of 70 pesos for materials and tools. Which expression represents Liza’s total monthly profit if she sells x bracelets?

For nos. 7–9: Lisa is planning a small business selling handmade bracelets. She determined the cost to make each bracelet is 24 pesos and she wants to sell each for x pesos. She also has affixed monthly cost of 70 pesos for materials and tools. If Liza increases the selling price by 35 pesos per bracelet and sells 20 bracelets a month, how much is her profit?

For nos. 7–9: Lisa is planning a small business selling handmade bracelets. She determined the cost to make each bracelet is 24 pesos and she wants to sell each for x pesos. She also has affixed monthly cost of 70 pesos for materials and tools. Liza decided to increase her production to 50 pieces, how would this affect her pricing strategy?

Ally is looking for herself in front of a mirror, what property is illustrated?

Sophia is organizing a charity event and has a certain number of gift bags. She knows that for every 3 gift bags, she will need 5 ribbons to decorate them. What property of equality will she use to find the number of ribbons she needs?

For items number 12–14: Carlos is a high school student at Doña Asuncion Lee Integrated School who needs a mobile data plan for his online classes. His monthly budget for mobile expenses is Php800, which includes both his prepaid load and mobile data. The cost of his prepaid load is Php50, while his mobile data plan charges Php5 per Gigabyte (GB). The total cost of his mobile expenses can be represented by the equation $$C = 50 + 5G$$ . How many gigabytes of data can Carlos afford if he spends exactly ₱800 on mobile expenses?

For items number 12–14: Carlos is a high school student at Doña Asuncion Lee Integrated School who needs a mobile data plan for his online classes. His monthly budget for mobile expenses is Php800, which includes both his prepaid load and mobile data. The cost of his prepaid load is Php50, while his mobile data plan charges Php5 per Gigabyte (GB). The total cost of his mobile expenses can be represented by the equation $$C = 50 + 5G$$ . If Carlos wants to limit his spending to ₱600, how many gigabytes of data can he use?

For items number 12–14: Carlos is a high school student at Doña Asuncion Lee Integrated School who needs a mobile data plan for his online classes. His monthly budget for mobile expenses is Php800, which includes both his prepaid load and mobile data. The cost of his prepaid load is Php50, while his mobile data plan charges Php5 per Gigabyte (GB). The total cost of his mobile expenses can be represented by the equation $$C = 50 + 5G$$ . If Carlos uses 180 GB of data, what will his total mobile expense be?

For items number 15–16: Jayson is preparing for the new school year and needs to buy notebooks and pens. The price of one notebook is ₱45, and the price of one pen is ₱20. He buys n notebooks and p pens. Which algebraic equation represents the total cost (C) of Jayson’s school supplies?

For items number 15–16: Jayson is preparing for the new school year and needs to buy notebooks and pens. The price of one notebook is ₱45, and the price of one pen is ₱20. He buys n notebooks and p pens. If Jayson bought 5 notebooks and 3 pens, how can we correctly substitute the values into the equation to find the total cost?

For items number 17–18: A farmer uses a water pump to fill a large water tank for irrigation. The tank has a total capacity of 1,200 liters. Initially, there are 300 liters of water in the tank. The pump adds 75 liters per minute to the tank. The amount of water W in the tank after m minutes can be represented by the equation: $$W = 300 + 75m$$ . How much water will be in the tank after 6 minutes?

For items number 17–18: A farmer uses a water pump to fill a large water tank for irrigation. The tank has a total capacity of 1,200 liters. Initially, there are 300 liters of water in the tank. The pump adds 75 liters per minute to the tank. The amount of water W in the tank after m minutes can be represented by the equation: $$W = 300 + 75m$$ . How many minutes will it take for the tank to be filled to its full capacity of 1,200 liters?

For items number 19–21: Jared wants to buy a new bicycle that costs ₱8,000. He saves a fixed amount of money every week. Jared already has ₱2,000 saved, and he plans to save ₱500 per week until he reaches his goal. The total amount of money M Jared has after w weeks can be represented by the equation: $$M = 2000 + 500w$$ . How much money will Jared have saved after 4 weeks?

For items number 19–21: Jared wants to buy a new bicycle that costs ₱8,000. He saves a fixed amount of money every week. Jared already has ₱2,000 saved, and he plans to save ₱500 per week until he reaches his goal. The total amount of money M Jared has after w weeks can be represented by the equation: $$M = 2000 + 500w$$ . How many weeks will it take Jared to save exactly ₱8,000?

For items number 19–21: Jared wants to buy a new bicycle that costs ₱8,000. He saves a fixed amount of money every week. Jared already has ₱2,000 saved, and he plans to save ₱500 per week until he reaches his goal. The total amount of money M Jared has after w weeks can be represented by the equation: $$M = 2000 + 500w$$ . If Jared saves for 6 weeks, how much more does he need to reach his goal of ₱8,000?

For items number 22–23: A group of students is conducting a probability experiment using a six-sided die. They roll the die 30 times and record the outcomes. Their goal is to count how many times they roll a prime number. At the end of the experiment, they observe that the die landed on a prime number 18 times out of the 30 rolls. Which of the following numbers on a six-sided die are prime numbers?

For items number 22–23: A group of students is conducting a probability experiment using a six-sided die. They roll the die 30 times and record the outcomes. Their goal is to count how many times they roll a prime number. At the end of the experiment, they observe that the die landed on a prime number 18 times out of the 30 rolls. What is the probability that a prime number was rolled based on their results?

For items number 24–25: Lori is playing with the deck of cards. She noticed that there are 4 kinds of cards – Clubs, hearts, spades, and diamonds. She also noticed that in every kind there is 3 face cards – Jack, Queen and King, one letter A, and numbers 2–10. She then randomly selected one card and got Ace of Diamonds. What is the total number of possible outcomes in the deck of cards?

For items number 24–25: Lori is playing with the deck of cards. She noticed that there are 4 kinds of cards – Clubs, hearts, spades, and diamonds. She also noticed that in every kind there is 3 face cards – Jack, Queen and King, one letter A, and numbers 2–10. She then randomly selected one card and got Ace of Diamonds. How many favorable outcomes are there in choosing Jack?

For items number 26–27: Consider the experiment of spinning the spinner at the right. What is the total number of possible outcomes on spinning the spinner?

For items number 26–27: Consider the experiment of spinning the spinner at the right. If the spinner is spun twice, which of the following statements is true?

Which of the following numbers is written in scientific notation?

Edward is working on a science project and needs to calculate the mass of a star. He finds that the mass of the star is $$3.5 \times 10^{25}$$ kg. If he wants to multiply this value by $$2 \times 10^4$$ , what is the result in scientific notation?

Edgar needs to divide $$4 \times 10^{12}$$ by $$2 \times 10^5$$ to find the distance between two satellites. What is the quotient in scientific notation?