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Proportions
Direct and Inverse Variation
Add/Subtract with Like Denominators
Multiply/Divide
Add/Subtract with Unlike Denominators
100
Solve: X over 10 = 4 over 5
What is x = 8?
100
Calculate the constant of variation: X and y vary directly: x = 3 and y = 9
What is k = 3?
100
Solve: (Simplify) x over x2 - 2x - 35 plus 5 over x2 - 2x - 35
What is 1 over x - 7?
100
Multiply (Simplify) 6x2 over 8x times -4x3 over 2x2
What is -3x2 over 2?
100
Solve. (Simplify) 6 over x2 - 1 plus 7x over x + 1
What is 7x2 - 7x + 6 over (x+1)(x-1)?
200
3 over x = 7 over 9
What is x = 27/7 ?
200
Calculate the constant of variation. X and y vary inversely. x = 2 and y = 5
What is k = 10?
200
Solve. (Simplify) 4x - 1 over 3x2 + 8x + 5 minus x - 6 over 3x2 + 8x + 5
What is 1 over x + 1?
200
Multiply (simplify) 12x2 over 5x3 times 25x4 over 3x
What is 20x2?
200
Solve. 4 over x + 3 plus 3x over x - 2
What is 3x2 + 13x - 8 over (x+3)(x-2) ?
300
Solve: (factor) X over (4x - 8) = 2 over x
What is x = 4?
300
Write the direct variation equation given x = 8 and y = 24.
What is y = 3x?
300
Solve (Simplify) 12x - 4 over x - 1 plus 4x over x - 1
What is 4(4x - 1) over x - 1 ?
300
Divide (simplify) 6y2 over y + 3 divided by 9y over (y + 3)2
What is 2y(y + 3) over 3 ?
300
Solve (simplify) 8 over 5x minus 4 over x2
What is 4(2x - 5) over 5x ?
400
Solve. (Factor) 6x + 4 over 5 = 2 over x
What is x = -1 and x = -5/3?
400
Write the inverse variation equation if x = 3 and y = 7.
What is y = 10 over x?
400
Solve (Simplify) 6(2y + 1) over y2 - 100 minus 2(5y-7) over y2 - 100
What is 2 over y - 10?
400
Multiply (factor; simplify) x2 - 7x - 18 over 4x2 + 8x times 12 over x2 - 81
What is 3 over x(x + 9)?
400
Solve (simplify). 5x + 1 over x - 3 minus 2x over x - 1
What is (3x - 1)(x + 1) over (x - 3)(x + 1) ?
500
Solve: (GCF factoring) (x - 3) over x = x over (x + 6)
What is x = 6?
500
Write the direct variation equation if x = 36 and y = 12.
What is y = (1/3)x?
500
Solve (simplify) x(x + 1) over (x - 3)2 minus 12 over (x - 3)2
What is x + 4 over x - 3 ?
500
Solve (factor, simplify) x2 + 3x + 2 over x2 + 7x + 12 divided by x2 + 5x + 4 over x2 + 5x + 6
What is (x+2)2 over (x+4)2 ?
500
Solve. x over x - 1 minus x over x + 1
What is 2x over (x - 1)(x + 1) ?