ALGEBRA - Jamb Mathematics Past Questions and Answers

Question 361:

• JAMB 1997

Determine x + y if \(\begin{pmatrix} 2 & -3 \\ -1 & 4 \end{pmatrix}\) \(\begin{pmatrix} x \\ y \end{pmatrix}\) = \(\begin{pmatrix}-1 \\ 8 \end{pmatrix}\)

A. 3
B. 4
C. 7
D. 12

Question 362:

• JAMB 1997

Find the non-zero positive value of x which satisfies the equation \(\begin{vmatrix} x & 1 & 0 \\ 1 & x & x \\ 0 & 1 & x\end{vmatrix}\) = 0

A. 2
B. 4
C. √3
D. √2
E. 1

Question 363:

• JAMB 1998

If b³ = a^-2 and c^{\(\frac{1}{3}\)} = a^{\(\frac{1}{2}\)}b, express c in terms of a

A. A^{-\(\frac{1}{2}\)}
B. A^{\(\frac{1}{3}\)}
C. A^{\(\frac{3}{2}\)}
D. A^{\(\frac{2}{3}\)}

Question 364:

• JAMB 1998

Given that log₄(Y - 1) + log₄(\(\frac{1}{2}\)x) = 1 and log₂(y + 1) + log₂x = 2, solve for x and y respectively

A. 2, 3
B. 3, 2
C. -2, -3
D. -3, -2

Question 365:

• JAMB 1998

Find the value of k if \(\frac{k}{\sqrt{3} + \sqrt{2}}\) = k\(\sqrt{3 - 2}\)

A. 3
B. 2
C. \(\sqrt{3}\)
D. \(\sqrt 2\)