Two Variable Equations Sample Problems

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These sample problems below for Two Variable Equations were generated by the MathScore.com engine.

Sample Problems For Two Variable Equations

Complexity=5, Mode=1

Solve for y and write the resulting equation beginning with 'y =' and in simplified terms.
Examples: y = -x/5 + 12/5 x = 4y/3 - 2

1. 17 = 5x + y

2. 5x = ^-10y

Complexity=10, Mode=1

Solve for y and write the resulting equation beginning with 'y =' and in simplified terms.
Examples: y = -x/5 + 12/5 x = 4y/3 - 2

1. ^-4y = 12x

2. ^-15 = ^-4x + y

Complexity=5, Mode=2

Solve for y and write the resulting equation beginning with 'y =' and in simplified terms.
Examples: y = -x/5 + 12/5 x = 4y/3 - 2

1. ^-10 = ^-3x - 2y

2. ^-16 = 3x + 2y

Complexity=10, Mode=2

Solve for x and write the resulting equation beginning with 'x =' and in simplified terms.
Examples: y = -x/5 + 12/5 x = 4y/3 - 2

1. 2x - 4y = ^-13

2. 3x - 3y = ^-19

Complexity=5, Mode=3

Solve for y and write the resulting equation beginning with 'y =' and in simplified terms.
Examples: y = -x/5 + 12/5 x = 4y/3 - 2

1. 2y + 11 = ^-10x + 3y

2. ^-3x - 8y = ^-8y + 13

Complexity=10, Mode=3

Solve for x and write the resulting equation beginning with 'x =' and in simplified terms.
Examples: y = -x/5 + 12/5 x = 4y/3 - 2

1. ^-3x + 6y = 4x + 18

2. ^-10y + 22 = 9x - 5y

Answers

Complexity=5, Mode=1

Solve for y and write the resulting equation beginning with 'y =' and in simplified terms.
Examples: y = -x/5 + 12/5 x = 4y/3 - 2

#	Problem	Correct Answer	Your Answer
1	17 = 5x + y
Solution 17 - 5x = 5x + y - 5x ^-5x + 17 = y y = ^-5x + 17

Problem

Correct Answer

Your Answer

5x = ^-10y

Solution
Divide by ^-10

Complexity=10, Mode=1

Solve for y and write the resulting equation beginning with 'y =' and in simplified terms.
Examples: y = -x/5 + 12/5 x = 4y/3 - 2

Problem

Correct Answer

Your Answer

^-4y = 12x

Solution
Divide by ^-4

y = ^-3x

#	Problem	Correct Answer	Your Answer
2	^-15 = ^-4x + y
Solution ^-15 + 4x = ^-4x + y + 4x 4x - 15 = y y = 4x - 15

Complexity=5, Mode=2

Solve for y and write the resulting equation beginning with 'y =' and in simplified terms.
Examples: y = -x/5 + 12/5 x = 4y/3 - 2

Problem

Correct Answer

Your Answer

^-10 = ^-3x - 2y

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

Divide by ^-2

Problem

Correct Answer

Your Answer

^-16 = 3x + 2y

Solution
^-16 - 3x = 3x + 2y - 3x
^-3x - 16 = 2y

Divide by 2

Complexity=10, Mode=2

Solve for x and write the resulting equation beginning with 'x =' and in simplified terms.
Examples: y = -x/5 + 12/5 x = 4y/3 - 2

Problem

Correct Answer

Your Answer

2x - 4y = ^-13

Solution
2x - 4y + 4y = ^-13 + 4y
2x = 4y - 13

Divide by 2

Problem

Correct Answer

Your Answer

3x - 3y = ^-19

Solution
3x - 3y + 3y = ^-19 + 3y
3x = 3y - 19

Divide by 3

Complexity=5, Mode=3

Solve for y and write the resulting equation beginning with 'y =' and in simplified terms.
Examples: y = -x/5 + 12/5 x = 4y/3 - 2

Problem

Correct Answer

Your Answer

2y + 11 = ^-10x + 3y

Solution
2y + 11 - 11 = ^-10x + 3y - 11
2y = ^-10x + 3y - 11

2y - 3y = ^-10x + 3y + ^-11 - 3y
-y = ^-10x - 11

Multiply by ^-1

-y(^-1) = (^-10x - 11)(^-1)

y = 10x - ^-11

y = 10x + 11

#	Problem	Correct Answer	Your Answer
2	^-3x - 8y = ^-8y + 13
Solution ^-3x - 8y + 3x = ^-8y + 13 + 3x ^-8y = 3x - 8y + 13 ^-8y + 8y = 3x + ^-8y + 13 + 8y 0 = 3x + 13

Complexity=10, Mode=3

Solve for x and write the resulting equation beginning with 'x =' and in simplified terms.
Examples: y = -x/5 + 12/5 x = 4y/3 - 2

Problem

Correct Answer

Your Answer

^-3x + 6y = 4x + 18

Solution
^-3x + 6y - 6y = 4x + 18 - 6y
^-3x = 4x - 6y + 18

^-3x - 4x = 4x + ^-6y + 18 - 4x
^-7x = ^-6y + 18

Divide by ^-7

Problem

Correct Answer

Your Answer

^-10y + 22 = 9x - 5y

Solution
^-10y + 22 + 5y = 9x - 5y + 5y
^-5y + 22 = 9x

Divide by 9

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