What are the values call if they make the denominator zero?
Non-permissible values
100
Simplify and state all NPVs (-35a^2 b^3 c^4)/(40abc^7 )
(-7ab^2)/(8c^3 ) NPVs: a≠0,b≠0,c≠0
100
Simplify and state all NPVs 〖(2m)〗^2/5n×10m/8n÷15m/〖(4n)〗^2
(16m^2)/15,NPVs:m≠0 n≠0
100
Solve the equation 1/x+1/2x=18
x=12
100
There is a place where is full of grass. The shape of the grass is a square, the width of it is (x+9) meters. What is the are of the grass?
x²+18x+81
200
What is the difference between the numerator and the denominator?
Numerator is the number above the line in a fraction, denominator is the number below the line in a fraction.
200
Simplify and state all NPVs 7x/(x^2-x-12)-4x/(x^2+2x-3)
3x/(x^2-5x+4) NPVs: x≠4, 1
200
Simplify and determine the NPV (m^2+2mn-3n^2)/(3m^2+9mn)
(m-n)/3n, NPV: m≠0,3
200
Solve the equation x-1/(x+4)=-4
x=-5, -3
200
The volume of a rectangular prism is (2x³+5x²-12x) cubic centimeters. If the length of the prism is (2x-3) centimeters and its width is (x+4) centimeters, what is an expression for the height of the prism?
(2x³+5x²-12x)/ (2x-3) (x+4)=x
300
How can you create an equivalent expression
Multiply or divide a rational expression by 1 and not change its value.
300
Simplify and state all NPVs 3x/(x+2)-x/(x-2)
(2x(x-4))/((x-2)(x+2)),NPVs: x≠2,-2
300
(x^3 y^2 z)/(yz^3 )×z/3÷1/(x^2 yz)
(x^5 y^2)/3
300
Solve the equation 1/(x+2)=2/(x+5)
x=1
300
Create an equation you could use to solve the following problem. Indicate what your variable represents. Do not solve you equation.
A large auger can fill a grain bin in 5h less time than a smaller auger. Together they fill the bin in 6h. How long would it take the large auger, by itself, to fill the bin?
6/x+6/(x-5)=1
400
Rational Expression
An algebraic fraction with a numerator and a denominator that are polynomials.
400
Simplify and state all NPVs (2x-1+3x/(x-1))/(3x-x/(x+1))
(2x^2+4x-1)/x(3x+2) ,NPVs: x≠0,-2/3
400
(x^2+2y+2xy+6y+9)/(y^2+9+6y)×x/(x^2+y^2+2xy)
x, x≠0
400
Solve the equation 1/(2x+5)+1/5x=10 (keep two decimals)
x=0.02, -2.45
400
the sum of the numbers is 12. The sum of their reciprocals is3/8. What are the numbers.
x+y=12 1/x+1/y=3/8 y=4or 8
x=3or 8
500
What is common denominator?
Common denominator is the number which can be divided exactly by all the denominaators in a group of fractions.
500
Simplify and state all NPVs (2y-5+(3y^2+3y)/(y+1))/(3y-1-(2y+1)/(y+1))
Matt and Elaine , working together, can paint a room in 3h. it would take Matt 5h to paint the room by himself. How long would it take Elaine to paint.