Vocabulary
Adding and SubtractingRational Expressions
Multiply and Divide Rational Expressions
Solve Rational Equations
Word Problems
100
What is NPV?
Any value for a variable that makes an expression undefined.
100
What is the final result of 1/2 + 2/1?
3/2
100
x/1 times 1/x=?
1
100
x^2-4=0 Define x
x1=2 x2=-2
100
The average speed of a Porsche is three time as fast as the average speed of a Ford. To travel 300km, the Ford requires 3 hours more than the Porsche . Determine the average speeds of the Porsche and the Ford.
300/x-300/3x=3 300/x-100/x=3 200/x=3 3x=200 x=200/3 F:66.7km/h P:200km/h
200
What is a rational expression?
An algebraic fraction with a numerator and a denominator that are polynomials.
200
Define the final result of x/2+x/5
7x/10
200
2/x times 3/2x=?
3/x^2
200
9x^2+12=25 Define x
x1=√13/3 x2=-√13/3
200
The sum of two numbers is 18. The sum of their reciprocals is 1/4. What are the two numbers?
1/x+1/(18-x)=1/4 x1=6 x2=12
300
What is reciprocal?
The value of 1/x given some x
300
Define the result of 7x/2+9x/3
13x/2
300
(9x^2-1)/3x-1 times (6x+2)/3x-1=?
6x+2
300
8x^2 + 999 =0 Define x
Undefined
300
A group of criminals decided to run away before the police catches them, and they all had to pay some money for the plane ticket. Four of them were arrested on their way, and the rest of them each had to pay extra $200 for their tickets, and it costs $3000 in total. How many criminals were their in the beginning?
(3000/x-4)-(3000/x)=200 3000x-3000(x-4)=200x(x-4) 3000x-3000x+12000=200x(x-4) 12000=200x^2-800x 200x^2-800x-12000=0 x^2-4x-60 (x+6)(x-10)=0 x1=-6 (rejected) x2=10 (check)
400
What is the invariant point?
The point which doesn't change when a graph y=f(x) compares with some other graph.
400
What is the result of (3x-9)/2-(2x-7)/4?
(4x-11)/4
400
(36x^2-9)/6x+3 divided by (x^2-4)/(6x+3)(x-2)=?
(36x^2-9)/x+2
400
(x-3)^2+2(x-3)+1=0 Define x
x=2
400
The sum of two numbers is 24. The sum of their reciprocals is 3/16. What are the two numbers?
x1=16 x2=8
500
What is LCD?
LCD is the smallest of all the possible common denominators
500
(9x^2-1)/3x-1 + (36x^2-4)/3x+1=?
135x^3-27^2-15x+3
500
(49x^2-1)/(7x+1)(9x-12) times (9x+12)/7x-1 = ?
(3x+4)/3x-4
500
29x^2+17x-92=0 Define x
x1=1.5 x2=-2.1
500
The sum of two numbers is 18. The sum of their reciprocals is 9/40. What are the two numbers?
x1=10 x2=8
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