MCAS-25 PREP

A video game originally cost $60. It was marked down by 25% during a sale. Then, an additional 10% discount was applied to the new price. What is the final price of the game after both discounts?

• $36

• $40.50

• $45

• $48

Answer explanation

The game is marked down by 25%, reducing the price to $45. Then, a 10% discount on $45 is $4.50, making the final price $40.50. Thus, the correct answer is $40.50.

A rectangular garden has a length of 3x + 4 feet and a width of 2x - 1 feet. Which expression represents the perimeter of the garden?

• 5x + 3

• 10x + 6

• 2(3x + 4) + 2(2x - 1)

• 3x + 4 + 2x - 1

Answer explanation

The perimeter of a rectangle is given by P = 2(length + width). Here, substituting the expressions for length and width gives P = 2(3x + 4) + 2(2x - 1), which is the correct choice.

Two basketball teams recorded the number of points they scored in five games. - Team A: 72, 65, 78, 80, 75 - Team B: 68, 75, 70, 71, 76 Which statement is true about the data sets?

• Team A and Team B have the same range.

• Team A has a higher mean and a greater range than Team B.

• Team B has a higher mean and a greater range than Team A.

• Team A and Team B have the same mean.

Answer explanation

To find the mean, Team A's total points (365) divided by 5 is 73. Team B's total points (360) divided by 5 is 72. Team A's range (80-65=15) is greater than Team B's (76-68=8). Thus, Team A has a higher mean and greater range.

A recipe uses 3 cups of flour for every 2 cups of sugar. Which proportion correctly represents the relationship between the cups of flour (f) and cups of sugar (s)?

• f/s = 2/3

• f/s = 3/2

• f/s = 5/1

• s/f = 3/2

Answer explanation

The recipe states 3 cups of flour for every 2 cups of sugar. This means the ratio of flour to sugar is 3:2. Therefore, the correct proportion is f/s = 3/2.

A store is having a sale where all items are 20% off. Jasmine buys a jacket that originally costs $85 and a pair of shoes originally priced at $65.
PART A)- What is the total discount Jasmine receives?
PART B) - What is the final amount she pays for both items after the discount?

• Total discount: $30; Final amount paid: $120.

• Total discount: $25; Final amount paid: $125.

• Total discount: $20; Final amount paid: $130.

• Total discount: $15; Final amount paid: $135.

Answer explanation

Jasmine's jacket costs $85 and the shirt $65. The total before discount is $150. The discount is 20% of $150, which is $30. Thus, the final amount paid is $150 - $30 = $120. The correct choice is: Total discount: $30; Final amount paid: $120.

Which of the following could represent the probability of randomly choosing a red marble from a bag containing red, blue, and green marbles?

• 1.5

• 0.75

• -0.2

• 150%

Answer explanation

The probability of an event must be between 0 and 1. The value 0.75 is valid, representing a 75% chance of choosing a red marble. The other options (1.5, -0.2, 150%) are outside this range and thus not valid probabilities.

Marisol spends $60 on supplies and sells each painting for $25. She wants her profit (revenue minus cost) to be at least $100. Let p be the number of paintings she sells. Which inequality represents this scenario?

• 25p - 60 ≥ 100

• 25p + 60 ≥100

• 25p - 60 ≤ 100

• 25p + 60 ≥100

Answer explanation

To find Marisol's profit, we calculate revenue (25p) minus costs (60). We want this profit to be at least 100, leading to the inequality 25p - 60 ≥ 100, which is the correct choice.

A jar contains 6 gold tickets and 4 silver tickets. One ticket is drawn (and replaced), then a spinner with 4 equal sections (red, blue, green, yellow) is spun. What is the probability of drawing a gold ticket AND then landing on blue?

• 7/20

• 1/4

• 3/10

• 3/20

Answer explanation

The probability of drawing a gold ticket is 6/10. The probability of landing on blue is 1/4. Thus, the combined probability is (6/10) * (1/4) = 6/40 = 3/20. Therefore, the correct answer is 3/20.

In a school of 800 students, a survey is to be conducted to represent student opinions. Which strategy is most likely to produce a representative sample?

• Surveying 50 students from only the freshman class

• Surveying 100 students randomly selected from all grades

• Surveying 100 students who are all in sports teams

• Surveying the first 100 students who arrive at school

Answer explanation

Surveying 100 students randomly selected from all grades ensures a diverse representation of the entire student body, unlike the other options which focus on specific groups, potentially biasing the results.

An $80 jacket is first discounted by 1/4 of its original price, and then a coupon for 20% off the new price is applied. What is the final price of the jacket?

Answer explanation

The jacket is first discounted by 1/4 of $80, which is $20, making the new price $60. Then, applying a 20% coupon on $60 gives a discount of $12. Thus, the final price is $60 - $12 = $48.