CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: x+y+z=11, x-y=3, y-z=−2.
A. (5, 2, 4)
B. (6, 2, 4)
C. (2, 5, 4)
D. (5, 4, 2)
Correct Answer: A
Use the difference equations and the total.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: x+y+z=12, x-y=−1, y-z=2.
A. (5, 4, 3)
B. (4, 5, 3)
C. (4, 3, 5)
D. (5, 5, 3)
Correct Answer: B
Use the difference equations and the total.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: x+y+z=12, x-y=−1, y-z=−1.
A. (3, 5, 4)
B. (3, 4, 5)
C. (4, 3, 5)
D. (4, 4, 5)
Correct Answer: B
Use the difference equations and the total.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: x+y+z=9, x-y=−1, y-z=−1.
A. (2, 3, 4)
B. (2, 4, 3)
C. (3, 2, 4)
D. (3, 3, 4)
Correct Answer: A
Use the difference equations and the total.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: x+y+z=6, x-y=−1, y-z=−1.
A. (2, 2, 3)
B. (2, 1, 3)
C. (1, 2, 3)
D. (1, 3, 2)
Correct Answer: C
Use the difference equations and the total.
CSS - PMS - CCE - PCS - Mathematics
Algebra
How many solutions? 6x+7y=9; 12x+14y=19.
A. Exactly two
B. Infinitely many
C. No solution
D. Exactly one
Correct Answer: C
Parallel distinct lines.
CSS - PMS - CCE - PCS - Mathematics
Algebra
How many solutions? 5x+6y=8; 10x+12y=17.
A. No solution
B. Exactly two
C. Exactly one
D. Infinitely many
Correct Answer: A
Parallel distinct lines.
CSS - PMS - CCE - PCS - Mathematics
Algebra
How many solutions? 4x+5y=7; 8x+10y=15.
A. Exactly one
B. Exactly two
C. Infinitely many
D. No solution
Correct Answer: D
Parallel distinct lines.
CSS - PMS - CCE - PCS - Mathematics
Algebra
How many solutions? 3x+4y=6; 6x+8y=13.
A. Exactly one
B. Infinitely many
C. No solution
D. Exactly two
Correct Answer: C
Parallel distinct lines.
CSS - PMS - CCE - PCS - Mathematics
Algebra
How many solutions? 2x+3y=5; 4x+6y=11.
A. Exactly one
B. No solution
C. Infinitely many
D. Exactly two
Correct Answer: B
Parallel distinct lines.
CSS - PMS - CCE - PCS - Mathematics
Algebra
How many solutions? 6x+7y=9; 12x+14y=18.
A. Infinitely many
B. No solution
C. Exactly two
D. Exactly one
Correct Answer: A
The second equation is a multiple of the first.
CSS - PMS - CCE - PCS - Mathematics
Algebra
How many solutions? 5x+6y=8; 10x+12y=16.
A. Exactly two
B. Infinitely many
C. Exactly one
D. No solution
Correct Answer: B
The second equation is a multiple of the first.
CSS - PMS - CCE - PCS - Mathematics
Algebra
How many solutions? 4x+5y=7; 8x+10y=14.
A. Exactly two
B. No solution
C. Infinitely many
D. Exactly one
Correct Answer: C
The second equation is a multiple of the first.
CSS - PMS - CCE - PCS - Mathematics
Algebra
How many solutions? 3x+4y=6; 6x+8y=12.
A. No solution
B. Infinitely many
C. Exactly one
D. Exactly two
Correct Answer: B
The second equation is a multiple of the first.
CSS - PMS - CCE - PCS - Mathematics
Algebra
How many solutions? 2x+3y=5; 4x+6y=10.
A. Infinitely many
B. No solution
C. Exactly two
D. Exactly one
Correct Answer: A
The second equation is a multiple of the first.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve the system: 1x + 1y = 10; 4x + 3y = 35.
A. 0
B. (6, 5)
C. (5, 6)
D. (5, 5)
Correct Answer: D
Solving simultaneously gives x=5, y=5.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve the system: 4x + 5y = 31; 3x + 2y = 18.
A. (4, 4)
B. (3, 4)
C. (5, 3)
D. (4, 3)
Correct Answer: D
Solving simultaneously gives x=4, y=3.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve the system: 3x + 4y = 49; 2x + 1y = 16.
A. (10, 3)
B. (3, 10)
C. (3, 11)
D. (4, 10)
Correct Answer: B
Solving simultaneously gives x=3, y=10.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve the system: 2x + 3y = 28; 5x + 5y = 50.
A. (2, 8)
B. (2, 9)
C. (8, 2)
D. (3, 8)
Correct Answer: A
Solving simultaneously gives x=2, y=8.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve the system: 1x + 2y = 13; 4x + 4y = 28.
A. (2, 6)
B. (1, 6)
C. (1, 7)
D. (6, 1)
Correct Answer: B
Solving simultaneously gives x=1, y=6.