College Entrance Exam Math Reviewer Part 1 (UPCAT, PUPCET, USTET, ACET, etc.)

1) If (2+1/𝑥)(𝑦)=1/𝑥, then y = ?
A. -2
B. 1/2
C. 1/(2𝑥+1)
D. 2/(2𝑥+1)

2) 15 is 20 percent of what number?
A. 75
B. 70
C. 50
D. 45

3) Given y varies directly as x^2 and the difference in values of y when x = 0 and x = 3 is 18. Find the value of y when x = -2.
A. -4
B. 4
C. -8
D. 8

4) Which of the following is not the sum of three consecutive odd integers?
A. 57
B. 75
C. 53
D. 99

5) Factorise 2x^2 + 7x – 15.
A. (x – 5)(2x + 3)
B. (x + 5)(2x – 3)
C. (2x – 5)(x + 3)
D. (2x + 5)(x – 3)

6) If the roots of the equation x^2 + bx + c = 0 are both equal to 6, find the value of c.
A. -12
B. 12
C. -36
D. 36

7) (4−𝑦^2)/((1+𝑦)−3)
A. -(2 + y)
B. y – 2
C. 2y – 1
D. 1 – 2y

8) What is the value of cos60 + sin30
A. -1
B. 1
C. 1/2
D. -1/2

9) Solve the equation 3/(3𝑥+2)=2/3
A. 5/6
B. 6/5
C. 13/6
D. 13/5

10) How many one-sixths are there in two and one-third?
A. 12
B. 7/18
C. 14
D. 13/6