flocabulary
+ & —
rational expression
x & /
rational expression
solve rational expression
word problem
100
the dividend of a division; goes to the upper part of a fration
What is a numerator?
100
Write answer in simplest form. Determine all non-permissible values. 2/x+3/x
5/x x≠0
100
Write your answer in simplest form. Identify all non-permissible values. (3x/4y)*(2x/3y)/(4x/12y)
2/3 (x=/0,y=/0)
100
Slove this rational expression (x/x-1)+(1/x-1)=10
x=11/9
100
The rate of Joseph's height over his weight is 2.528. He is 177cm tall. What's his weight? (round off to the nearest kg)
177/x = 2.528 x= 70kg
200
the divisor of a division; goes to the lower part of a fration
What is a denominator?
200
Write answer in simplest form. Determine all non-permissible values. 3/x-10/y
3y-10x/xy x≠0, y≠0
200
Write your answer in simplest form. Identify all non-permissible values. (x^2 - x - 6)/(x^2 - 9)*(x^2 - 2x - 3)/(x^2+x -2)
(x+2)/x (x/=3,-2,-3,-1,1)
200
Slove this rational expression (7/x+1)*(2/6x+3)=9
x=5/18
200
Robin's English score is 70 and the reciprocal of his English score over his Math score is 1.2. What is his math score?
x/70=1.2 x=84
300
an expression that has multiple terms and variables that cannot be simplied any more
What is "polynomial"?
300
Write answer in simplest form. Determine all non-permissible values. 31/(5x+10) + x/(x+2)
31-5x/5(x+2) x≠-2
300
Write your answer in simplest form. Identify all non-permissible values. (a^2-9)/(a^2-a-6)/(a^2+7a+12)/(a^2-4)
1/(a+4) (x/=3,-3,2,-2,-4)
300
Slove this rational expression (3x+1)/(x+1)*(3x+3)/(x-1)=3
x=-1
300
Robin and Ives are assigned to do a jeopardy project for their Math class. It takes Robin 15 hours to finish the project on his own, and it takes Ives 8 to do the same work alone. How long will it take for them to complete the project, if they work together? (round off to the nearest tenth decimal place)
x/15+x/8=1 x=5.2
400
An algebraic fraction with a numerator and a denominator that are polynomial
What is "rational expression"?
400
Write answer in simplest form. Determine all non-permissible values. x-3/(x^2-5x-6) - x-6/(x^2-2x-3)
3(2x-9)/(x+1)(x-6)(x-3) x≠-1,6,3
400
(x^2+2x+1)/(x^2-2x+1)*(x^2-x-6)/(x^2-1)/(x^2-2x-3)/(x^2-2x+1)
(x+2)/(x-1) (x/=1,-1,3,-2)
400
Slove this rational expression 1/(x+3)+3/(2x-3)=1
x1=3/2 x2=-3
400
There is a 500g cake. Joey can finish it within 3s. However, it takes Robin 4s to finish it. How much time do they need to finish a 10kg cake together.(round off to the nearest second)
20/(1/4+1/3)=x x=34s
500
What is "non-permissible value"? What are the non-permissible values of x/(x^2-4)(x+3)?
any value for a variable that makes an expression undefined； x ≠ ±2，x ≠ -3
500
Write answer in simplest form. Determine all non-permissible values. 3t+15/(2t^2+13t+15) - 2t-3/(t^2-16)
-t^2-39/(2t+3)(t^2-16) t≠-5, -4, -1.5, 4
500
Write your answer in simplest form. Identify all non-permissible values. (4x^-6x-20)/(4x^2+10x-24)*(4x^-30x+36)/(4x^2-14x-60)/(x-8)/(x+4)
0 (x/=-2.5,8,-1.5,6,1.5,-4)
500
Slove this rational expression (3x/(x+1)(x-1)+2x/(x+1))/1/x-1=2
x1=1/4+√（17）/4 x2=1/4-√（17）/4
500
Joey wants to get his cake from Robin, who is 42km away from Joey's house. If Joey runs towards Robin alone, he will need 2x-3 hours to get there. If Robin delivers the cake to Joey, he will need 3x+2 to arrive at Joey's house. If they start to run toward each other at the same time, after 1 hour they meet each other. What is x? (round off the nearest tenth of decimal place)
42/2x-3 + 42/3x+2 = 42 x=2.1
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