Fundamentals in Algebra Reviewer with Answer and Solution Part 1

Start Practice Exam Test Questions C. 70/9
Part 1 of the Series
D. 60/9
Choose the letter of the best answer
in each questions. Problem 4: EE Board October 1997

Problem 1: ECE Board April 1999 Find the values of x and y from the
equations:
If 16 is 4 more than 4x, find 5x – 1.
x – 4y + 2 = 0
A. 14
2x + y – 4 = 0
B. 3
A. 11/7, -5/7
C. 12
B. 14/9, 8/9
D. 5
C. 4/9, 8/9
Problem 2: EE Board October 1992
D. 3/2, 5/3
Find the value of x in
Problem 5: ME Board October 1995

Solve for the value of x and y.

4x + 2y = 5 13x -3y = 2

A. y = 1/2, x = 3/2

A. 16.47 B. y = 3/2, x = 1/2

B. 12.87 C. y = 2, x = 1

C. 18.27 D. y = 3, x =1

D. 20.17 Problem 6: ME Board October 1996

Problem 3: EE Board October 1991 Solve the simultaneous equations:

Find the value of x in the equations: 2x2 – 3y2 = 6

3x2 + 2y2 = 35

A. x = 3 or -3; y = 2 or -2

B. x = 3 or -3, y = -2 or 1

C. x = 3 or -3, y = -2 or -1
A. 50/9
D. x = 3 or -3, y = 2 or -3
B. 80/9
Problem 7: CE Board May 1997

, Find the value of w in the following Problem 10: EE Board April 1997
equations:
Multiply the following: (2x + 5y)(5x – 2y)
3x – 2y + w = 11
A. 10x2 – 21xy + 10y2
x + 5y – 2w = -9
B. -10x2 + 21xy + 10y2
2x + y -3w = -6
C. 10x2 + 21xy – 10y2
A. 3
D. -10x2 – 21xy – 10y2
B. 2
Problem 11: EE Board March 1998
C. 4
Determine the sum of the positive valued
D. -2 solution

Problem 8: EE Board October 1993 to the simultaneous equations:

Solve for the value of x. xy = 15, yz = 35, zx = 21.

2x – y + z = 6 A. 16

x- 3y – 2z = 13 B. 13

2x – 3y – 3z = 16 C. 17

A. 4 D. 19

B. 3 Problem 12: ECE Board April 1991

C. 2 Simplify:

D. 1

Problem 9: ME Board October 1996

Solve the simultaneous equations:

x+y=–4

x+z–1=0

y+z+1=0

A. x = -1, y = -5, z = 3

B. x = 1, y = 2, z = -3

C. x = -1, y = -3, z = 2

D. x = -2, y = -3, z = -1