Question

Basic MATH QUESTIONS?Q-1. Solve the algebraic expressions: a. (???? 4 + 3???? 3 − ???? + 1) ÷ (???? 2 +

3)

b. (???? 3 − 1)(???? 7 − 2???? 4 − 5???? 2 + 5)

Q-2. Match the factoring formula with the correct geometric factoring models labeled as a and b.

*DIAGRAN ON ATTACHMENT

Q-3. A rectangle has area and width as indicated in the figure. Factor to find the length.

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Q-4. Factorize the following: a. 8???? 2???? − 60???????? + 28 b. ???? 2 + 6???? + 9 − ???? 2 c. 4(???? 2 + 1) 2 − 2(???? 2 + 1) 3

Q-5. Perform the indicated operations and simplify:

a. 18−2???? 2 ????2−5????+4 × ???? 2−2????−8 ????2−6????+9 ÷ ( ???? 3−6???? 2 ????2−????−12 × ???? 2−2????+1 ????−????3 ) 6

b. 2????+1 4????−2 + ???? ???? 2−4 − ????−2 ???? 2+????−6 + (???? − 2)

Q-6. Management is attempting to identify the most active person in labor’s efforts to unionize. The following diagram shows how influence flows from one employee to another among the four most active employees.

a. Construct matrix A with elements ???????????? = { 1 if ???? influnces ???? directly 0 ????????ℎ????????????????????????

b. Construct matrix B with elements ???????????? = { 1 if ???? influnces ???? through at most one person, with ???? ≠ ???? 0 ????????ℎ????????????????????????

c. The person i is most active in influencing others if the sum of the elements in row i of the matrix A + B is the largest. Who is the most active person? 3 1 4 2 8

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Q-7. Find determinant of X matrix and the inverse of the X matrix of following simuaneous equations by using Gauss Jordan method: 7???? + 2???? = 47 5???? − 4???? = 1 By using inverse matrix find the solution of above simuaneous equation.

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Math