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Answers and Explanations'); parent.frames[0].document.write('

The problems you missed are listed below with answers and explanations.  Look over the explanation for each problem so you can understand why you missed it!

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'); resetdisplay(); for(var i = 0; i <10; i++) { ganswer[i] = prompt(question[i],""); if (ganswer[i] == "quit" || ganswer[i] == "QUIT" || ganswer[i] == "Quit") { break; } q++; if (ganswer[i] == answer[i]) { c++; } else { rightans[i] = 0; w++; } resetdisplay(); } for(var i = 0; i < 10; i++) { if (rightans[i] == 0) { expl = expl + explain[i]; } } parent.frames[0].document.write(expl); parent.frames[0].document.write(""); } question[0] = 'The sum of 6 and three times a number equals 33. Find the number.'; question[1] = 'The difference between 55 and four times a number is equal to fifteen. Find the number.'; question[2] = 'The sum of 3 and six times a number is equal to 39. Find the number.'; question[3] = 'The sum of 5 and a number divided by 4 is 9. Find the number.'; question[4] = 'The difference between 8 and a number is 2. Find the number.'; question[5] = 'The difference between 23 and six times a number is -9. Find the number.'; question[6] = 'The sum of a number and the difference between 16 and a number plus 5 is 21.'; question[7] = 'The sum of a number and seven times the same number equals 16.'; question[8] = 'The difference between seven times a number and 45 equals 25'; question[9] = 'The sum of a number and 10 equals 16'; answer[0] = '9'; answer[1] = '10'; answer[2] = '6'; answer[3] = '16'; answer[4] = '6'; answer[5] = '16/3'; answer[6] = 'real'; answer[7] = '2'; answer[8] = '10'; answer[9] = '6'; explain[0] = '#1

The sum of 6 and three times a number equals 33.

Write the question in equation from.

6 + 3n = 33

Subtract 6 from each side.

3n = 27

Divide each side by6 3.

n = 9

'; explain[1] = '#2

The difference between 55 and four times a number is equal to 15.

Write the problem as an equation.

55 - 4n = 15

Subtract 55 from each side.

-4n = -40

Divide each side by -4.

n=10

'; explain[2] = '#3

The sum of 3 and six times a number is equal to 39.

Write the question in equation from.

3 + 6n = 39

Subtract 3 from each side.

6n = 36

Divide each side by 6.

n = 6

'; explain[3] = '#4

The sum of 5 and a number divided by 4 is 9.

Write the problem in equation form.

5 + n/4 = 9

Subtract 5 from each side.

n/4 = 4

Multiply each side by 4.

n = 16

'; explain[4] = '#5

The difference between 8 and a number is 2.

Write the problem in equation form.

8 - n = 2

Subtract 8 from each side.

-n = -6

Multiply each side by -1.

n = 6

'; explain[5] = '#6

The difference between 23 and six times a number is -9.

Write the question in equation form.

23 - 6n = -9

Subtract 23 from both sides.

-6n = -32

Divide each side by -6.

n = 16/3

'; explain[6] = '#7

The sum of a number and the difference between 16 and a number plus 5 is 21.

Write the problem in equation form.

n + (16 - n + 5) = 21

Combine like terms.

21 = 21

No variable is left, but the equation is still equal.

Any real number would solve the equation.

Therefore if we use our "rules for testing", the set of all real numbers is specified by the key word real

'; explain[7] = '#8

The sum of a number and seven times the same number equals 16.

Write the question in equation form.

n + 7n = 16

Combine like terms.

8n = 16

Divide each side by 8.

n = 2

'; explain[8] = '#9

The difference between a seven times a number and 45 equals 25.

Write the question in equation form.

7n - 45 = 25

Add 45 to each side.

7n = 70

Divide each side by 7.

n = 10

'; explain[9] = '#10

The sum of a number and 10 equals 16

Write the question as an equation.

n + 10 = 16

Subtract 10 from each side

n = 6

'; rightans[0] = 1; rightans[1] = 1; rightans[2] = 1; rightans[3] = 1; rightans[4] = 1; rightans[5] = 1; rightans[6] = 1; rightans[7] = 1; rightans[8] = 1; rightans[9] = 1; //-->