Question 1

The beginning balance of the checkbook below is $ 620 . What will the balance be after checks 233-238 clear the bank? ​  ​ ​ ​ ​ ​ ​ ​ ​ ​
A) $ 58
B) $ 50
C) $ 95
D) $ 477
E) $ 103

Accepted Answer

The answer of The beginning balance of the checkbook below...

Question 2

If GCF( f , e ) = e , then LCM( f , e ) = ? ​
A) 2 e
B) e
C) 2 f
D) e + f
E) f

Accepted Answer

The Least Common Multiple (LCM) of two numbers when one is a factor of the other (as indicated by GCF(f, e) = e, meaning e is a factor of f) is the larger number, which in this case is f.

Question 3

Joanna was driving from Fresno to Bakersfield. Because it was a business meeting, she would be reimbursed for her mileage. When she left Fresno, she noted that her odometer said 64,157 . Unfortunately, she forgot to check her odometer in Bakersfield. However, on the way home, she saw a sign that said she was 24 miles from Fresno. At that point, her odometer said 64,257 . She now had enough information to determine the distance from Fresno to Bakersfield. How far is it?
A) 124 miles
B) 50 miles
C) 76 miles
D) 62 miles
E) 100 miles

Accepted Answer

The answer of Joanna was driving from Fresno to Bakersfield....

Question 4

Subtract: ​ 76 - 30 ¯¯¯¯¯¯
A) 45
B) 47
C) 57
D) 46
E) 56

Accepted Answer

When subtracting a number with a line over it (known as a vinculum), we must first subtract the digits in the ones place and carry over any necessary digits to the tens place. Doing so, we get:

76
- 30
¯¯¯¯¯¯
   46

Therefore, the answer is D, 46.

Question 5

Estimate the following difference by rounding. ​  ​
A) about 23,000,000
B) about 31,000,000
C) about 21,000,000
D) about 16,000,000
E) about 19,000,000

Accepted Answer

Rounding the digits in the given numbers to the nearest million, we get:
11ec1c4b ≈ 12,000,000
855500e7109a ≈ 34,000,000
Subtracting these rounded numbers, we get:
34,000,000 - 12,000,000 = 22,000,000
Rounding this answer to the nearest million gives us the closest choice, which is C) about 21,000,000.

Question 6

Subtract. ​  ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Subtract. ​  ​
A) 
B) 
C) 
D)...

Question 7

Determine the missing numbers that will solve the following subtraction problem. 3_2_ ₅- 441₅ = 340 ₁₀ A) 4 and 2 B) 3 and 1 C) 1 and 3 D) 3 and 2 E) 4 and 1

Accepted Answer

The answer of Determine the missing numbers that will solve...

Question 8

Subtract: 232 - 21 . ​
A) 211
B) 212
C) 200
D) 201
E) 210

Accepted Answer

Subtracting 21 from 232 gives 232 - 21 = 211.

Question 9

If d and y are relatively prime, then the LCM( d , y ) = ? ​
A) 2 d
B) 2 dy
C) dy
D) d
E) y

Accepted Answer

If d and y are relatively prime, their LCM is simply their product, since they have no common factors. Therefore, LCM(d, y) = dy.

Question 10

Subtract: ​ 1,278 - 835 ¯¯¯¯¯¯
A) 432
B) 443
C) 543
D) 453
E) 544

Accepted Answer

Subtraction should be done by lining up the digits in each place value column and subtracting from right to left. In the ones place, 8 minus 5 equals 3. In the tens place, 7 minus 3 equals 4. In the hundreds place, 1 minus 8 is -7, which requires borrowing from the thousands place. The 1 in the thousands place becomes 0, and the 2 becomes 12, which then allows for 12 minus 8 in the hundreds place to equal 4. Therefore, the result is 443.

Question 11

Subtract: 32 - 14. ​
A) 29
B) 18
C) 19
D) 17
E) 8

Accepted Answer

To subtract 14 from 32, we start at 32 and count back 14 units. This gives us 18, which is the answer. Therefore, the best choice is B.

Question 12

Subtract: 5534 - 3111. ​
A) 2434
B) 8645
C) 2423
D) 3523
E) 2533

Accepted Answer

To subtract, we need to align the digits by place value. Starting from the right, 4-1=3, 3-1=2, 5-1=4, 3 stays the same. The difference is 2423. Therefore, the answer is C.

Question 13

Place the digits 1, 2, 3, 8 , and 9 in the boxes to obtain the greatest difference. You can only use each digit once. ​ 
A) 926
B) 962
C) 881
D) 1069
E) 971

Accepted Answer

The answer of Place the digits 1, 2, 3, 8...

Question 14

Choose among the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 to make the difference 135. You can use each digit only once. ​  ​
A) 186 - 479 135
B) ​ 814 - 979 135
C) 844 - 679 135
D) 914 - 786 135
E) ​ 814 - 679 135

Accepted Answer

The answer of Choose among the digits 1, 2, 3,...

Question 15

Subtract: 5773 - 121. ​
A) 5642
B) 5663
C) 5641
D) 5652
E) 5894

Accepted Answer

Subtracting 121 from 5773 gives 5652.

Question 16

Place the digits 1, 2, 3, 5 , and 6 in the boxes to obtain the least difference. You can only use each digit once. ​  ​
A) 58
B) 133
C) 76
D) 45
E) 73

Accepted Answer

The answer of Place the digits 1, 2, 3, 5...

Question 17

I left my house at 6 : 40 P.M. and arrived at 10 : 20 P.M. How long did the trip take me? ​
A) 4 hours and 20 minutes
B) 3 hours and 40 minutes
C) 16 hours and 40 minutes
D) 15 hours and 20 minutes
E) 4 hours and 40 minutes

Accepted Answer

To find the duration of the trip, we need to subtract the departure time from the arrival time. 
The minutes place is easy to subtract (20-40=-20), so we borrow an hour from the 10 and add 60 minutes to the minutes place (60-20=40). Now we have:

10:20 PM
-6:40 PM
--------
 3:40

So the trip took 3 hours and 40 minutes, which is choice B.

Question 18

Subtract: ​ 9973 - 5570 ¯¯¯¯¯¯
A) 4503
B) 4414
C) 5403
D) 4403
E) 4293

Accepted Answer

The answer of Subtract: ​ 9973 - 5570 ¯¯¯¯¯¯
A) 4503
B)...

Question 19

Find the difference between 5666 and 4324.
A) 1242
B) 1342
C) 1347
D) 1352
E) 1331

Accepted Answer

The answer of Find the difference between 5666 and 4324.
A)...

Question 20

Find the difference in the given base. A) 4 3 3 ₈ B) 3 3 3 ₈ C) 345 ₈ D) 4 2 3 ₈ E) 3 2 3 ₈

Accepted Answer

The answer of Find the difference in the given base....

Quiz 3: Understanding Addition and Subtraction

The beginning balance of the checkbook below is $ 620 . What will the balance be after checks 233-238 clear the bank?

If GCF( f , e ) = e , then LCM( f , e ) = ?

Subtract: 76 - 30 ¯¯¯¯¯¯

Estimate the following difference by rounding.

Subtract.

Determine the missing numbers that will solve the following subtraction problem. 3_2_ ₅- 441₅ = 340 ₁₀

Subtract: 232 - 21 .

If d and y are relatively prime, then the LCM( d , y ) = ?

Subtract: 1,278 - 835 ¯¯¯¯¯¯

Subtract: 32 - 14.

Subtract: 5534 - 3111.

Place the digits 1, 2, 3, 8 , and 9 in the boxes to obtain the greatest difference. You can only use each digit once.

Choose among the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 to make the difference 135. You can use each digit only once.

Subtract: 5773 - 121.

Place the digits 1, 2, 3, 5 , and 6 in the boxes to obtain the least difference. You can only use each digit once.

I left my house at 6 : 40 P.M. and arrived at 10 : 20 P.M. How long did the trip take me?

Subtract: 9973 - 5570 ¯¯¯¯¯¯

Find the difference between 5666 and 4324.

Find the difference in the given base.

Quiz 3: Understanding Addition and Subtraction

The beginning balance of the checkbook below is $ 620 . What will the balance be after checks 233-238 clear the bank? ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

If GCF( f , e ) = e , then LCM( f , e ) = ? ​

Subtract: ​ 76 - 30 ¯¯¯¯¯¯

Estimate the following difference by rounding. ​ ​

Subtract. ​ ​

Determine the missing numbers that will solve the following subtraction problem. ​ 3_2_ 5 - 4415 = 340 10 ​

Subtract: 232 - 21 . ​

If d and y are relatively prime, then the LCM( d , y ) = ? ​

Subtract: ​ 1,278 - 835 ¯¯¯¯¯¯

Subtract: 32 - 14. ​

Subtract: 5534 - 3111. ​

Place the digits 1, 2, 3, 8 , and 9 in the boxes to obtain the greatest difference. You can only use each digit once. ​

Choose among the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 to make the difference 135. You can use each digit only once. ​ ​

Subtract: 5773 - 121. ​

Place the digits 1, 2, 3, 5 , and 6 in the boxes to obtain the least difference. You can only use each digit once. ​ ​

I left my house at 6 : 40 P.M. and arrived at 10 : 20 P.M. How long did the trip take me? ​

Subtract: ​ 9973 - 5570 ¯¯¯¯¯¯