Sat Math Project

Question 1

If f(x)= 2x²-3x+4, what is f(3)?

Accepted Answer

13

Question 2

A triangle has a sides of length 5, 12, x. What is the smallest possible integer value of x that forms a valid triangle?

Accepted Answer

7

Question 3

If 3x-5 > 7, what is the smallest integer solution for x?

Accepted Answer

5

Question 4

The function f(x) is defined as f(x)= 2x²-3x+k. If f(4) = 17, what is the value of k?

Accepted Answer

2

Question 5

In a 45°-45°-90° triangle, if the hypotenuse is 10, what is the length of each leg?

Accepted Answer

5 root 2

Question 6

In a right triangle, one angle is 30°. If the hypotenuse is 10, what is the opposite side's length?

Accepted Answer

10

Question 7

If 2x+3y= 12 and 4x-y= 5, what is the value of x?

Accepted Answer

2

Question 8

A recipe requires flour and sugar in a 3:2 ratio. If 12 cups of flour are used, how many cups of sugar are needed?

Accepted Answer

8

Question 9

A population of bacteria doubles each 3 hours. If there are initially 200 bacteria,how many will be there after 6 hours?

Accepted Answer

800

Question 10

A store increases the price of a $50 shirt by 20%, then gives a 20% discount on the new price. What is the final price?

Accepted Answer

48

Question 11

A circle has a radius of 5. What is the length of an arc that subtends a central angle of 60? Use pie= 3.14

Accepted Answer

6.28

Question 12

The average of 5 numbers is 12. If four of the numbers are 10,14,8, and 16. What is the fifth number?

Accepted Answer

12

Question 13

If x²-5x+6 = 0, what is the product of its roots?

Accepted Answer

6

Question 14

A line passes through the points (2,3) and (6,7). What is its slope?

Accepted Answer

1

Question 15

The function f(x) = x²-6x+ 8 has roots r and s, what is the value of r+s?

Accepted Answer

6

Questions 15