Inverse Variation
Simplifying
Multiplying & Dividing
Adding & Subtracting
Solving
100
Suppose that x and y vary inversely, and x = 3 when y = -5. What is k?
-15
100
(x^2 + 10x + 25) / (x^2 + 9x + 20)
(x + 5) / (x + 4)
100
Multiply (8y - 4) / (10y - 5) by (5y - 15) / (3y - 9)
4/3
100
Find the least common multiple of x^2 - 1 and x^2 + 2x + 1.
(x - 1)(x + 1)(x + 1)
100
Solve x/5 = (x + 3) / 8
5
200
Suppose that x and y vary inversely, and x = 0.3 when y = 1.4. Write the function that models the inverse variation.
y = 0.42/x
200
(x^2 - 6x - 16) / (x^2 + 5x + 6)
(x - 8) / (x + 3)
200
Multiply (2x + 12) / (3x - 9) and (2x - 6) / (3x + 8)
4(x + 6) / 3(3x + 8)
200
Simplify 1 / 2x plus 1 / 2x.
1/x
200
Solve 10 / (6x + 7) = 6 / (2x + 9)
3
300
Suppose that x and y vary inversely, and x = 4 when y = 0.35. Write the function that models the inverse variation.
y = 1.4/x
300
(6c^2 + 9c) / (3c)
2c + 3
300
Multiply (x^2 - 4) / (x^2 - 1) and (x + 1) / (x^2 + 2x)
(x - 2) / x(x - 1)
300
Simplify (-3x) / (x^2 - 9) plus 4 / (2x - 6)
(-x + 6) / (x - 3)(x + 3)
300
Solve 2 / (3x - 5) = 4 / (x - 15)
-1
400
Suppose x and y vary inversely, if x = 20 when y = -4, find y when x = 10.
-8
400
(2x^2 - 3x - 2) / (x^2 - 5x + 6)
(2x + 1) / (x - 3)
400
Divide (6x + 6y) / (x - y) by 18 / (5x - 5y)
5(x + y) / 3
400
Simplify (-5y) / (2y - 1) minus (y + 3) / (2y - 1)
(-6y - 3) / (2y - 1)
400
Solve y/5 + y/2 = 7
10
500
Suppose that x and y vary inversely, if x = 5 when y = -1/3, find y when x = 10.
-1/6
500
(x^2 + 8x + 16) / (x^2 - 2x - 24)
(x + 4) / (x - 6)
500
Divide (3y - 12) / (2y + 4) by (6y - 24) / (4y + 8)
1
500
Simplify x / (3x + 9) minus 8 / (x^2 + 3x)
(x^2 - 24) / 3x(x + 3)
500
Solve 2x/3 - 1/2 = (2x + 5) / 6
4
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