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PICAT MATHEMATICAL KNOWLEDGE MK EXAM

Exam (elaborations) Feb 17, 2026
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PICAT MATHEMATICAL KNOWLEDGE (MK) EXAM

QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -31 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: 6. If x+3y=7 and y=2, then x equals

Answer:

A:1

Question 2: 4. what is the product of (a-1) and (2a+2)

Answer:

B: 2(a^2-1)

Question 3: 16. If 4/3 x 3/4=5k, then k=

Answer:

A: 1/5

Question 4: 14. -2^5=

Answer:

D: 32

Question 5: 13. -25-8=

Answer:

A: -33

Question 6: If x=2, and y=-3, then xy^2

Answer:

  • 18

Question 7: 12. If x/5+6=-14, then x=?

Answer:

A. -100

Question 8: If 4x+12=0, then x=?

Answer:

  • -3

Question 9: If 3(x+6)=39 then x=?

Answer:

  • 7
  • Question 10: What is the area of a triangle with a base of 8 feet and a height of 4 feet?

Answer:

  • 16 squared feet

Question 11: 7. What is the value of 3x+5y, when x=12 and y=4

Answer:

C: 56

Question 12: What is 12/50 in simplistic form?

Answer:

A. 6/25

Question 13: What is the sum of 3x^3-2x+8,2x^2+5x and x^3+2x^2-3x-3 ?

Answer:

  • 4x^3+4x^2+5

Question 14: 3. What is the product of the reciprocals of 2/3, 1/8, and 5

Answer:

C: 2-2/5

Question 15: What is the length of the diagonal of a rectangle with a base of 4 and an alto of 3?

Answer:

  • 5

Question 16: if x=-2 and y=3, what is the value of 2y-x?

Answer:

8 Question 17: The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. Which equation can be used to find the length of the remaining side?

Answer:

  • x^2 = 14^2 -9^2

Question 18: What are the factors of x^2+4x+3?

Answer:

  • (X+3)(x+1)

Question 19: If 16= x/20, then x=?

Answer:

D. 320

Question 20: What is the slope of the line y = -2+1 ?

Answer:

  • 15x^3 - 25x

Question 21: The reciprocal of 3-1/5 is?

Answer:

B. 5/16

Question 22: 8. If 2^x= 32, them x=

Answer:

B:5

Question 23: 9. If x=4, which of the following expressions does NOT equal 9?

Answer:

D: x-13

Question 24: 10. Solve the following equation for d:b=cd

Answer:

C: d=b/c

Question 25: 11. What is 3a^2+a^2 added to a+6

Answer:

B: 4a^2+a+6

Question 26: 2. The factors of 2x^2+xy -3y are

Answer:

B: (2x+3y) (x-y)

Question 27: 1. If A=6 and B=5, what is the value of (A^2-B^2)^2

Answer:

D=121

Question 28: If -x = x-6 , the. X=

Answer:

  • 3

Question 29: 5. x/4>12 has the same solution set as

Answer:

A: x>48

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