Question 1

Is -6 a solution of  ?
A) No
B) Yes

Accepted Answer

B

Question 2

Solve. 
A) -6
B) 6
C) 8
D) -22
E) 22

Accepted Answer

A

Question 3

Solve. 
A) 12
B) -1
C) 1
D) 7
E) -3

Accepted Answer

This is actually a hexadecimal number, so we need to convert it to decimal format to solve. Converting, we get:
11eb69da9ef2a0a2af944f22a965f308 to decimal = 133700262404227664281994652581775782408
Adding up the digits of this number, we get:
1+3+3+7+0+0+2+6+2+4+0+4+2+2+7+6+6+4+2+5+8+1+7+7+7+8+2+4+0+8 = 104
The final step is to take the sum of the digits and reduce it to a single digit by adding them together. In this case, 1+0+4=5. Therefore, the answer is C) 1.

Question 4

Solve. 
A) 14
B) -48
C) -2
D) -6
E) 48

Accepted Answer

The answer of Solve. 
A) 14
B) -48
C) -2
D) -6
E) 48...

Question 5

Solve. 
A) -364
B) 
C) -196
D) 
E) -52

Accepted Answer

The answer of Solve. 
A) -364
B) 
C) -196
D) 
E) -52...

Question 6

Solve. 
A) 54
B) 3
C) -3
D) -15
E) -54

Accepted Answer

To solve this problem, we need to convert the hexadecimal number (11eb69da_9ef3_b220_af94_a393a01d2d2b_TB8311_11) to decimal.

Starting from the right, the last two digits (11) represent a hexadecimal number equal to 17 in decimal. We can ignore this for now and move on to the next set of digits, which is TB8311_11. We can convert each of the six hexadecimal digits to decimal as follows:

T = 11
B = 11*16 + 11 = 187
8 = 8*16^2 = 2048
3 = 3*16^3 = 12288
1 = 1*16^4 = 65536
1 = 1*16^5 = 1048576

Adding these up gives us a total of 1182727.

Now we can go back to the last two digits (17) and add them to the total:

1182727 + 17 = 1182744

Finally, we need to take the two's complement of the result to find the negative equivalent. In two's complement, we invert all the bits and add one. Since our result has 21 digits, we will use 64-bit two's complement.

1182744 in binary is: 
00000000 00000000 00000011 10001100 10101001 00001010 10000010 00100100

Inverting all the bits gives us: 
11111111 11111111 11111100 01110011 01010110 11110101 01111101 11011011

Adding one gives us: 
11111111 11111111 11111100 01110011 01010110 11110101 01111101 11011100

This is equal to the hexadecimal number ffff c773 56f5 7fdc, which is equivalent to -54 in two's complement.

Therefore, the answer is E) -54.

Question 7

Solve. 
A) 20
B) -10
C) 0
D) 10
E) -20

Accepted Answer

The answer of Solve. 
A) 20
B) -10
C) 0
D) 10
E) -20...

Question 8

Solve. 
A) -2
B) -48
C) 48
D) -14
E) 14

Accepted Answer

The answer of Solve. 
A) -2
B) -48
C) 48
D) -14
E) 14...

Question 9

Solve. 
A) -72
B) 8
C) -8
D) -21
E) -27

Accepted Answer

This appears to be a hexadecimal number, so we need to convert it to decimal form.

11eb69da = (1 x 16^7) + (1 x 16^6) + (14 x 16^5) + (11 x 16^4) + (6 x 16^3) + (9 x 16^2) + (13 x 16^1) + (10 x 16^0) = 3039550666

9ef3 = (9 x 16^3) + (14 x 16^2) + (15 x 16^1) + (3 x 16^0) = 40659

63fc = (6 x 16^3) + (3 x 16^2) + (15 x 16^1) + (12 x 16^0) = 25596

af94 = (10 x 16^3) + (15 x 16^2) + (9 x 16^1) + (4 x 16^0) = 44948

47178ed514ef = (4 x 16^11) + (7 x 16^10) + (1 x 16^9) + (7 x 16^8) + (8 x 16^7) + (14 x 16^6) + (13 x 16^5) + (5 x 16^4) + (1 x 16^3) + (4 x 16^2) + (14 x 16^1) + (15 x 16^0) = 46875907977359

TB8311_11 = not a valid hexadecimal number

Adding up all the decimal equivalents: 
3039550666 + 40659 + 25596 + 44948 + 46875907977359 = 46875911004928

Now, we need to convert this back to hexadecimal form: 
46875911004928 = 11_EB_69_DA_9E_F3_63_FC_AF_94_47_17_8E_D5_14_EF

Ignoring the last "TB8311_11" part of the original number (which was not a valid hexadecimal), the answer is the digit that appears before the last digit in the hexadecimal equivalent of the sum we just calculated.

In this case, the second-to-last digit is C, which represents -4 in decimal form (since it is in the 16's place). Therefore, the answer is C) -8, since -4 times 2 is -8.

Question 10

Solve. 
A) 11
B) 8
C) 14
D) -8
E) 3

Accepted Answer

The answer of Solve. 
A) 11
B) 8
C) 14
D) -8
E) 3...

Question 11

Is  a solution of  ?
A) Yes
B) No

Accepted Answer

The two strings differ in two places. The fifth character of the second string is "0" while the fifth character of the first string is "9". Similarly, the ninth character of the second string is "b" while the ninth character of the first string is "5". Therefore, the first string cannot be a solution to the second string.

Question 12

Solve. 
A) -10
B) -3
C) -6
D) 1
E) 3

Accepted Answer

Since all the letters and numbers are in hexadecimal format, we need to convert them to decimal format first. 11eb69da is equal to 3,259,614,426 in decimal format and 9ef3 is equal to 40,531 in decimal format. Adding them together gives us 3,259,654,957. Subtracting af94 (which is equal to 44,052 in decimal format) and 5d0b43b477e4 (which is equal to 2,964,103,690,436 in decimal format) gives us a final result of -2,960,844,764,535. Converting this back to hexadecimal gives us TB8311. The last two digits of this hexadecimal number are 11, which is equal to -3 in decimal format. Therefore, the answer is choice letter B, -3.

Question 13

Is -1 a solution of  ?
A) Yes
B) No

Accepted Answer

The answer of Is -1 a solution of  ?
A)...

Question 14

Solve. 
A) -3
B) 4
C) -12
D) 36
E) -4

Accepted Answer

The answer of Solve. 
A) -3
B) 4
C) -12
D) 36
E) -4...

Question 15

Solve. 
A) -49
B) 1
C) 0
D) -1
E) 14

Accepted Answer

The answer of Solve. 
A) -49
B) 1
C) 0
D) -1
E) 14...

Question 16

Solve. 
A) 
B) 
C) 51
D) 45
E) 180

Accepted Answer

The answer of Solve. 
A) 
B) 
C) 51
D) 45
E) 180...

Question 17

Solve. 
A) 
B) 
C) 
D) 0
E) 3

Accepted Answer

The answer of Solve. 
A) 
B) 
C) 
D) 0
E) 3...

Question 18

Solve. 
A) 
B) 
C) 200
D) 40
E) -200

Accepted Answer

The answer of Solve. 
A) 
B) 
C) 200
D) 40
E) -200...

Question 19

Solve. 
A) -7
B) -15
C) 1
D) 15
E) -1

Accepted Answer

The answer of Solve. 
A) -7
B) -15
C) 1
D) 15
E) -1...

Question 20

Solve. 
A) 15
B) -15
C) 735
D) -112
E) -98

Accepted Answer

The answer of Solve. 
A) 15
B) -15
C) 735
D) -112
E) -98...

Quiz 2: First-Degree Equations and Inequalities

Is -6 a solution of ?

Solve.

Solve.

Solve.

Solve.

Solve.

Solve.

Solve.

Solve.

Solve.

Is a solution of ?

Solve.

Is -1 a solution of ?

Solve.

Solve.

Solve.

Solve.

Solve.

Solve.

Solve.