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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] = 'Solve for y: y + 3 = x'; question[1] = 'Solve for y: 10y + 2 = x - 6'; question[2] = 'Solve for y: 2y + 4 = x - 10'; question[3] = 'Solve for y: 3y + 5 = 3x + 5'; question[4] = 'Find y: y + 3 = x and 4x = 5y'; question[5] = 'Find y: 10y + 2 = x - 3 and 2x = 3y'; question[6] = 'Find x: 2y = x and 3y = 2x - 3'; question[7] = 'Find x: 5y = 3x and y = x - 5'; question[8] = 'Solve for y: 3y + 6 = 2x'; question[9] = 'Find y: y + 6 = 3x and 7y + 2 = 5x'; answer[0] = 'x-3'; answer[1] = 'x/10-4/5'; answer[2] = 'x/2-7'; answer[3] = 'x'; answer[4] = '12'; answer[5] = '-10/17'; answer[6] = '6'; answer[7] = '25/2'; answer[8] = '2x/3-2'; answer[9] = '3/2'; explain[0] = '#1

y + 3 = x

Subtract 3 from each side.

y = x-3


'; explain[1] = '#2

10y + 2 = x - 6

Subtract 2 from each side.

10y = x - 8

Divide each side by 10.

y = x/10-4/5


'; explain[2] = '#3

2y + 4 = x - 10

Subtract 4 from each side.

2y = x -14

Divide each side by 2.

y = x/2-7


'; explain[3] = '#4

3y + 5 = 3x + 5

Subtract 5 from each side.

3y = 3x

Divide each side by 3.

y=x


'; explain[4] = '#5

y + 3 = x
4x = 5y

Substitute the first equation in for x.

4(y + 3) = 5y

Multiply out the problem.

4y + 12 = 5y

Subtract 4y from each side.

12 = y


'; explain[5] = '#6

10y + 2 = x - 3
2x = 3y

Add three to each side of the first equation

10y + 5 = x

Substitute the first equation into the second equation for x.

2(10y + 5) = 3y

Multiply out the problem.

20y + 10 = 3y

Subtract 20y from each side.

10 = -17y

Divide each side by -17.

-10/17 = y


'; explain[6] = '#7

2y = x
3y = 2x - 3

Divide each side of the first equation by 2.

y = x/2

Substitute the first equaiton into the second equation for y.

3(x/2) = 2x - 3

Subtract 2x from each side.

-x/2 = -3

Multiply both sides by -2.

x = 6


'; explain[7] = '#8

5y = 3x
y = x - 5

Substitute the second equation into the first equation for y.

5(x - 5) = 3x

Multiply the problem out.

5x - 25 = 3x

Subtract 5x from each side.

-25 = -2x

Divide each side by -2.

25/2 = x


'; explain[8] = '#9

3y + 6 = 2x

Subtract 6 from each side.

3y = 2x - 6

Divide each side by 3.

y = 2x/3-2


'; explain[9] = '#10

y + 6 = 3x
7y + 2 = 5x

Solve for x in the first equation.
Divide each side by 3.

y/3 + 2 = x

Substitute the solution into the second equation for x.

7y + 2 = 5(y/3 + 2)

Multiply through.

7y + 2 = 5y/3 + 10

Subtract 2 from each side.

7y = 5y/3 + 8

Multiply the entire equation by 3 to eliminate fractions.

21y = 5y + 24

Subtract 5y from each sides.

16y = 24

Divide each side by 16

y = 3/2


'; 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; //-->