CSS - PMS - CCE - PCS - Mathematics
Equations
Two numbers x and y satisfy x + y = 68 and x − y = 50. What is x?
A. 50
B. 59
C. 9
D. 68
Correct Answer: B
Adding the equations: 2x=118; therefore x=59.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find x if 5x − 5 = 285.
A. 290
B. 58
C. 56
D. 59
Correct Answer: B
5x=285+5=290; x=58.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find the smaller root of x² − 46x + 513 = 0.
A. 46
B. 513
C. 19
D. 27
Correct Answer: C
The quadratic factors as (x−19)(x−27); the smaller root is 19.
CSS - PMS - CCE - PCS - Mathematics
Equations
Two numbers x and y satisfy x + y = 75 and x − y = 37. What is x?
A. 37
B. 75
C. 19
D. 56
Correct Answer: D
Adding the equations: 2x=112; therefore x=56.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find x if 2x − 7 = 103.
A. 53
B. 110
C. 56
D. 55
Correct Answer: D
2x=103+7=110; x=55.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find the smaller root of x² − 40x + 384 = 0.
A. 16
B. 40
C. 24
D. 384
Correct Answer: A
The quadratic factors as (x−16)(x−24); the smaller root is 16.
CSS - PMS - CCE - PCS - Mathematics
Equations
Two numbers x and y satisfy x + y = 69 and x − y = 37. What is x?
A. 53
B. 69
C. 16
D. 37
Correct Answer: A
Adding the equations: 2x=106; therefore x=53.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find x if 5x − 4 = 256.
A. 50
B. 53
C. 260
D. 52
Correct Answer: D
5x=256+4=260; x=52.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find the smaller root of x² − 34x + 273 = 0.
A. 34
B. 21
C. 13
D. 273
Correct Answer: C
The quadratic factors as (x−13)(x−21); the smaller root is 13.
CSS - PMS - CCE - PCS - Mathematics
Equations
Two numbers x and y satisfy x + y = 63 and x − y = 37. What is x?
A. 37
B. 13
C. 50
D. 63
Correct Answer: C
Adding the equations: 2x=100; therefore x=50.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find x if 2x − 6 = 92.
A. 50
B. 47
C. 98
D. 49
Correct Answer: D
2x=92+6=98; x=49.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find the smaller root of x² − 47x + 370 = 0.
A. 37
B. 47
C. 10
D. 370
Correct Answer: C
The quadratic factors as (x−10)(x−37); the smaller root is 10.
CSS - PMS - CCE - PCS - Mathematics
Equations
Two numbers x and y satisfy x + y = 57 and x − y = 37. What is x?
A. 37
B. 47
C. 10
D. 57
Correct Answer: B
Adding the equations: 2x=94; therefore x=47.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find x if 5x − 3 = 227.
A. 47
B. 44
C. 230
D. 46
Correct Answer: D
5x=227+3=230; x=46.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find the smaller root of x² − 58x + 816 = 0.
A. 24
B. 58
C. 816
D. 34
Correct Answer: A
The quadratic factors as (x−24)(x−34); the smaller root is 24.
CSS - PMS - CCE - PCS - Mathematics
Equations
Two numbers x and y satisfy x + y = 51 and x − y = 37. What is x?
A. 37
B. 51
C. 7
D. 44
Correct Answer: D
Adding the equations: 2x=88; therefore x=44.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find x if 2x − 5 = 81.
A. 86
B. 43
C. 44
D. 41
Correct Answer: B
2x=81+5=86; x=43.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find the smaller root of x² − 52x + 651 = 0.
A. 31
B. 52
C. 651
D. 21
Correct Answer: D
The quadratic factors as (x−21)(x−31); the smaller root is 21.
CSS - PMS - CCE - PCS - Mathematics
Equations
Two numbers x and y satisfy x + y = 58 and x − y = 24. What is x?
A. 58
B. 41
C. 17
D. 24
Correct Answer: B
Adding the equations: 2x=82; therefore x=41.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find x if 5x − 7 = 193.
A. 200
B. 41
C. 38
D. 40
Correct Answer: D
5x=193+7=200; x=40.