MSAP-Math-Part1

MATHEMATICS What do you get if you subtract 4y²-5y+2 from 6y²-5?

• 10y²-5y-3

• 2y²+5y-7

• 10y²+5y-7

• 2y²=5-7

• none

Answer explanation

Subtracting 4y²-5y+2 from 6y²-5 gives 6y²-5 - (4y²-5y+2) = 2y²+5y-7. Therefore, the correct answer is 2y²+5y-7.

Which is the simplest form of 8-(-4)²(3)+9(-3)?

• -67

• -43

• -11

• 32

• none

Answer explanation

To simplify the expression, follow the order of operations: 8-(-4)²(3)+9(-3) = 8-16(3)+9(-3) = 8-48-27 = -40-27 = -67. Therefore, the correct answer is -67.

Which gives the quantity for "the time it takes to read a novel that is x page long at a rate of y page per hour"?

• (x+y) hours

• x/y hours

• y/x hours

• xy hours

• none

Answer explanation

To find the time to read a novel x pages long at a rate of y pages per hour, divide the total pages by the rate: x/y hours.

A woman spends here day for recreation, sleep, and work in the ratio 1:2:5. how many hours does she spend sleeping?

• 15 hours

• 6 hours

• 4 hours

• 3 hours

• none

Answer explanation

The woman spends 1 part of her day sleeping out of the total 1+2+5=8 parts. Therefore, she spends 2/8 of her day sleeping, which is 6 hours.

A number was decreased by 5 and the result is 230. Another number was increased by 5 and the result is -10. What is the product of the two numbers?

• -2597

• 2716

• -3525

• 3150

• none

Answer explanation

To find the numbers, solve the equations: x - 5 = 230 and y + 5 = -10. The numbers are 235 and -15. The product is 235 * -15 = -3525, which is the correct choice.

Mr. Aguirre has 40 bills consisting of 50-peso bills and 20-peso bills, the total value of which is Php 1,550.00. How Many 20-peso bills does he have?

• 10

• 15

• 20

• 25

• none

Answer explanation

To find the number of 20-peso bills, solve the system of equations: 50x + 20y = 1550 and x + y = 40. Solving gives x=15, so Mr. Aguirre has 15 20-peso bills.

Jess is 5 years older than Rose. Six years from now, the sum of their ages will be 37. how old is jess now?

• 21

• 16

• 15

• 10

• none

Answer explanation

Let's denote Rose's age as x. Jess's age is x + 5. In 6 years, their ages will be x + 6 and x + 11. The sum is 37, so x + 6 + x + 11 = 37. Solving gives x = 10, Jess's age now is x + 5 = 15.

Translate the given set in roster form. Set A consists of first five positive even integers

• A= {1,2,3,4,5}

• A= {2,4,6,8,10}

• A= {0,1,2,3,4}

• A= {1,3,5,7,9}

• none

Answer explanation

Set A consists of the first five positive even integers, which are 2, 4, 6, 8, and 10. Therefore, the correct translation in roster form is A = {2,4,6,8,10}.

Evaluate 2a + 4b if a = -10 and b = 6

• 24

• 4

• -16

• -46

• none

Answer explanation

Substitute a = -10 and b = 6 into the expression 2a + 4b to get 2(-10) + 4(6) = -20 + 24 = 4. Therefore, the correct answer is 4.

If m = 5, what is the value of 5m2 - 7m + 1?

• 91

• 92

• 93

• 94

• none

Answer explanation

Substitute m=5 into the expression 5m^2 - 7m + 1 to get 5(5)^2 - 7(5) + 1 = 5(25) - 35 + 1 = 125 - 35 + 1 = 91. Therefore, the value is 91.