Simplifying
Multiplying
Dividing
???
100
(x²+3x-28) / (3x²+19x-14)
(x - 4) / (3x - 2)
100
[(4x² - 4x) / (x² + x – 42)] ∙ [(x² + 3x -28) / (4x)]
(x² - 5x + 4) / (x – 6)
100
[(y^10) / 27(x^3)(y²)] ÷ [(y^8) / 3(x^4)]
x / 9
100
The denominator of a rational expression is factored into (2x + 3)(2x - 5)(x - 7). What are the restricted values of this RE?
x cannot be equal to -3/2, 5/2, or 7
200
(3x²+71x+46) / (9x²-4)
(x + 23) / (3x - 2)
200
[(x^3+2x²) / (x – 7)] · [(x² - 5x – 14) / x^3]
[(x²+4x+4) / x]
200
[(x² +x – 6) / (x² + 7x + 6)] ÷ [(x² + 2x – 8) / (x² + 3x – 18)]
(x² - 9) / (x² + 5x + 4)
200
The area of a rectangle is given by x^2 - 13x + 42. If its width is x - 7, what is its length?
x - 6
300
Put your answer in factored form: (x^4 - 16) / (x²+5x+6)
(x - 2)(x²+4) / (x + 3)
300
[(x² + 5x – 6) / (x² + 6x + 9)] ∙ [(4x² + 12x) / (x² - 6x + 5)]
[(4x² + 24x) / (x² - 2x + 15)]
300
[(x² - 2x – 3) / (x + 5)] ÷ (x² + 2x + 1)
(x - 3) / (x² + 6x + 5)
300
What set represents the values that x can take in the expression (x + 2)/(2x - 1)?
Answers may vary.
400
(x²-1)² / (x+1)
(x^3) - x² - x+1
400
[(x² + 3x +2) / (4x² - 36)] ∙ (2x² - 4x – 6)
((x^3) + 4x² + 5x + 2) / (2x + 6)
400
[(x² + 8x – 20) / (x + 3)] ÷ (x² + 20x + 100)
(x – 2) / (x² + 13x + 30)
400
Give an example of a rational expression where the restricted value is 5 and -3
Answers vary
500
(x^4 - 2x^3 - 13x^2 + 14x +24) / (x^2 - 3x - 4)
x² + x - 6
500
Bobby Bo Donald Jr. has just built a new garden. If the length is (x² + 7x + 12) / (x² + 8x + 16) inches and the width is (9x² + 12x) / (3x² + 9x) inches. What is the area of the space the garden takes up? Remember units count!
(3x + 4) / (x + 4) square inches
500
[(x² + 5x – 24) / (x² + x – 20)] ÷ [(x² +10x + 16) / (x² + 9x + 20)]
(x² + x – 12) / (x² - 2x – 8)
500
Solve the equation (x^2 +7x + 12)/6 = 7
x = 3 or x = -10
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