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Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

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10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #171 : Elementary Operations

Multiply the following numbers: $641\times 948$

Possible Answers:

608788

607668

602538

604538

598788

Correct answer:

607668

Explanation:

Multiply the first number with the ones digit of 948.

$641\times 8 =5128$

Save this value.

Multiply the first number with the tens digit of 948.

$641\times 4 = 2564$

Add a zero to the end of this number.

25640

Save this value.

Multiply the first number with the hundreds digit of 948.

$641\times 9 =5769$

Add two zeros to the end of this number and add the previous saved values.

576900+25640+5128 = 607668

The answer is: 607668

Report an Error

Example Question #172 : Elementary Operations

Multiply the numbers: $943\times 88$

Possible Answers:

82984

81974

80894

$\textup{The answer is not given.}$

81894

Correct answer:

82984

Explanation:

Multiply the first number with the ones digit of the second number.

$943\times 8 = 7544$

This value will be the same if we multiplied the first number with the tens digit of the second number.

Add an extra zero to the end.

75440

Add this number with the first number calculated.

75440+7544=82984

The answer is: 82984

Report an Error

Example Question #2381 : Mathematical Relationships And Basic Graphs

Multiply the numbers: $194\times 52$

Possible Answers:

10088

10288

10178

9788

9988

Correct answer:

10088

Explanation:

Multiply the first number with the ones digits of the second number.

$194\times 2= 388$

Multiply the first number with the tens digits of the second number.

$194\times 5 = 970$

Add an extra zero to the end of this number.

9700

Add this number with the first number.

9700+388 = 10088

The answer is: 10088

Report an Error

Example Question #71 : Multiplication And Division

Multiply: $825\times 67$

Possible Answers:

$\textup{The answer is not given.}$

55275

54275

54175

54165

Correct answer:

55275

Explanation:

Multiply the first number with the ones digit of the second number.

$825 \times 7 =5775$

Multiply the first number with the tens digit of the second number.

$825\times 6 = 4950$

Add an extra zero to the end of this number and add this value to the first number.

49500+5775=55275

The answer is: 55275

Report an Error

Example Question #72 : Multiplication And Division

Multiply: $194\times 979$

Possible Answers:

189926

190936

42786

32786

$\textup{The answer is not given.}$

Correct answer:

189926

Explanation:

Multiply the first number with the ones digit of the second number.

$194\times 9 =1746$

Save this number.

Repeat the process with the tens digit of the second number.

$194\times7 =1358$

Add a zero to the end of this number.

13580

Save this number.

Repeat the process for the third number, which will give us 1746 from the first calculation.

Add two zeros to the end of this value and add this with all the saved numbers.

174600+13580+1746 = 189926

The answer is: 189926

Report an Error

Example Question #73 : Multiplication And Division

Multiply the numbers: $649\times 87$

Possible Answers:

56463

55353

53533

$\textup{The answer is not given.}$

55463

Correct answer:

56463

Explanation:

Multiply 649 with the ones digit of the second number.

$649\times 7 = 4543$

Multiply 649 with the tens digit of the second number.

$649\times 8 = 5192$

Add a zero to the end of this number and add the value to the first number.

51920+4543 = 56463

The answer is: 56463

Report an Error

Example Question #74 : Multiplication And Division

Divide the numbers: $\frac{1084}{300}$

Possible Answers:

$\frac{121}{75}$

$\frac{7}{3}$

$\textup{The answer is not given.}$

$\frac{271}{75}$

$\frac{271}{150}$

Correct answer:

$\frac{271}{75}$

Explanation:

In order to divide, we can use simplify the fraction by use of common factors. If a factor cannot be determined visually, we can use as a factor to break down the large numbers.

$\frac{1084}{300} = \frac{2(542)}{2(150)} = \frac{2(2\times 271)}{2(2\times 75)}$

Reduce the fraction.

The answer is: $\frac{271}{75}$

Report an Error

Example Question #5041 : Algebra Ii

Evaluate: $97\times 57$

Possible Answers:

5419

4529

5529

4519

5409

Correct answer:

5529

Explanation:

Multiply the first number with the ones digit of the second number.

$97\times 7 = 679$

Multiply the first number with the tens digit of the second number.

$97\times 5 = 485$

Add a zero to the end of this number and add this value with the first number.

4850+679 =5529

The answer is: 5529

Report an Error

Example Question #76 : Multiplication And Division

Multiply the numbers: $764\times 57$

Possible Answers:

42658

$\textup{The answer is not given.}$

83658

41458

43548

Correct answer:

43548

Explanation:

Multiply the first number with the ones digit of the second number.

$764\times 7 = 5348$

Repeat the process with the tens digit.

$764\times 5 = 3820$

Add a zero to the end of this number and add it with the first number.

38200+5348 = 43548

The answer is: 43548

Report an Error

Example Question #77 : Multiplication And Division

Multiply the numbers: $83\times 89$

Possible Answers:

7287

7387

6887

6387

6787

Correct answer:

7387

Explanation:

Multiply the first number with the ones digit of the second number.

$83\times 9 = 747$

Repeat the process for the tens digit of the second number.

$83\times 8= 664$

Add a zero to this number and add the value with the first number.

6640+747=7387

The answer is: 7387

Report an Error

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Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #171 : Elementary Operations

Example Question #172 : Elementary Operations

Example Question #2381 : Mathematical Relationships And Basic Graphs

Example Question #71 : Multiplication And Division

Example Question #72 : Multiplication And Division

Example Question #73 : Multiplication And Division

Example Question #74 : Multiplication And Division

Example Question #5041 : Algebra Ii

Example Question #76 : Multiplication And Division

Example Question #77 : Multiplication And Division

All Algebra II Resources

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