CSS - PMS - CCE - PCS - Mathematics
Equations
Find the smaller root of x² − 46x + 504 = 0.
A. 28
B. 18
C. 46
D. 504
Correct Answer: B
The quadratic factors as (x−18)(x−28); the smaller root is 18.
CSS - PMS - CCE - PCS - Mathematics
Equations
Two numbers x and y satisfy x + y = 52 and x − y = 24. What is x?
A. 38
B. 52
C. 14
D. 24
Correct Answer: A
Adding the equations: 2x=76; therefore x=38.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find x if 2x − 4 = 70.
A. 74
B. 38
C. 37
D. 35
Correct Answer: C
2x=70+4=74; x=37.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find the smaller root of x² − 40x + 375 = 0.
A. 25
B. 15
C. 40
D. 375
Correct Answer: B
The quadratic factors as (x−15)(x−25); the smaller root is 15.
CSS - PMS - CCE - PCS - Mathematics
Equations
Two numbers x and y satisfy x + y = 46 and x − y = 24. What is x?
A. 35
B. 24
C. 11
D. 46
Correct Answer: A
Adding the equations: 2x=70; therefore x=35.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find x if 5x − 6 = 164.
A. 32
B. 34
C. 35
D. 170
Correct Answer: B
5x=164+6=170; x=34.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find the smaller root of x² − 34x + 264 = 0.
A. 34
B. 264
C. 12
D. 22
Correct Answer: C
The quadratic factors as (x−12)(x−22); the smaller root is 12.
CSS - PMS - CCE - PCS - Mathematics
Equations
Two numbers x and y satisfy x + y = 40 and x − y = 24. What is x?
A. 32
B. 40
C. 24
D. 8
Correct Answer: A
Adding the equations: 2x=64; therefore x=32.
CSS - PMS - CCE - PCS - Mathematics
Equations
Find x if 2x − 3 = 59.
A. 32
B. 29
C. 31
D. 62
Correct Answer: C
2x=59+3=62; x=31.
CSS - PMS - CCE - PCS - Mathematics
Equations
Solve: x/4 + 2 = 32.
A. 30
B. 120
C. 34
D. 26
Correct Answer: A
x/4=30=30; multiplying by 4 gives x=30.
CSS - PMS - CCE - PCS - Mathematics
Equations
Solve the simultaneous equations: x + y = 36 and 2x + 4y = 104. What is x?
A. 36
B. 21
C. 20
D. 16
Correct Answer: C
Using y=36−x in the second equation gives x=20.
CSS - PMS - CCE - PCS - Mathematics
Equations
If 4x + 6 − 6 = 60, what is x?
A. 13
B. 15
C. 17
D. 60
Correct Answer: B
4x = 60 − 6 + 6 = 60; therefore x=15.
CSS - PMS - CCE - PCS - Mathematics
Equations
Solve: 6(x + 11) = 126.
A. 12
B. -1
C. 10
D. 21
Correct Answer: C
Divide by 6: x+11=21; hence x=10.
CSS - PMS - CCE - PCS - Mathematics
Equations
Solve for x: 5x + 3 = 28.
A. 4
B. 6
C. 5
D. 25
Correct Answer: C
5x = 28 − 3 = 25; x = 25 ÷ 5 = 5.
CSS - PMS - CCE - PCS - Mathematics
Equations
Solve: x/3 + 3 = 32.
A. 26
B. 87
C. 32
D. 29
Correct Answer: D
x/3=29=29; multiplying by 3 gives x=29.
CSS - PMS - CCE - PCS - Mathematics
Equations
Solve the simultaneous equations: x + y = 28 and 6x + 2y = 132. What is x?
A. 28
B. 9
C. 20
D. 19
Correct Answer: D
Using y=28−x in the second equation gives x=19.
CSS - PMS - CCE - PCS - Mathematics
Equations
If 4x + 9 − 5 = 60, what is x?
A. 12
B. 56
C. 16
D. 14
Correct Answer: D
4x = 60 − 9 + 5 = 56; therefore x=14.
CSS - PMS - CCE - PCS - Mathematics
Equations
Solve: 7(x + 8) = 119.
A. 9
B. 11
C. 17
D. 1
Correct Answer: A
Divide by 7: x+8=17; hence x=9.
CSS - PMS - CCE - PCS - Mathematics
Equations
Solve for x: 8x + 9 = 41.
A. 32
B. 3
C. 5
D. 4
Correct Answer: D
8x = 41 − 9 = 32; x = 32 ÷ 8 = 4.
CSS - PMS - CCE - PCS - Mathematics
Equations
Solve: x/2 + 4 = 32.
A. 30
B. 28
C. 56
D. 26
Correct Answer: B
x/2=28=28; multiplying by 2 gives x=28.