Factoring
Word Problems
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Solving Equations
Polynomials
100

What is the GCF between 36 and 24





                        What is 12

100

Identify k. 


                       4g = 20rt2



                        What is 5

100



       What is the equation for combined variation?



                      What is y = kx / z

100

How many solutions does this system of equations have?


−4x + 10y = 6

  2x −  5y  = 3



                    What is No solutions

100

Multiply the polynomials.


                         (2x + 3)(5x- 6x + 3)



               What is 10x+ 3x- 12x + 9

200

Factor the equation:      


                            b2+2b-8

What is (b+4)(b-2) 

or 

What is (b-2)(b+4)

200

Translate into an equation. 


     d varies jointly with p and the square root

     of a.



                    What is d = kp / a

200



If m is inversely proportional to the square of n and m = 12 when n = 49, what does k equal?.



                           What is 84

200

Solve by factoring


                      x-11x + 19 = -5



                  What is x = 8 and x = 3

200

Subtract the polynomials.


                  



                What is 8x2 + xy - 10y2 

300

What is this equation in standard form?


(3x+5)(2x-4)



              What is 6x- 2x - 20

300

Which variation model is represented here?


                       xy = 36



                       What is Inverse

300



If p varies jointly as q and the cube root of r, and p = 276 when q = 6 and r = 8, find p when q = 8 and r = 125.



                         What is 23

300

Solve the systems of equations.


7x - 6y = -53

2x - 3y = -13



                What is (-9 ,  -5/3)

300



When adding and subtracting polynomials what operation do you perform for the exponents?



                       What is nothing

400

Factor the GCF. Answer in standard form. 


                    -12p3w3 + 18p2w2 - 30p5w4



            What is -6p2w2(5p3w2 + 2pw - 3)

400


The value of y varies directly with x. 

When x = 13 y = 25. What is the value of x when 

y = 175?



                         What is 91

400

Translate into an equation.


f varies jointly with g and h"



               What is f = kgh

400

Solve by factoring. 


4x+ 11x - 15 = 5



                   What is x = -4 x = 5/4

400

Divide the polynomials.


x3 - 2x + 4 divided by x - 1



             What is x+ x - 1 + 3 / (x - 1)

500

Factor by grouping. 


                 m+ 8mn - 3mn - 24n2



                      What is (m - 3n)(m + 8n)

500


The value of z varies directly with v and inversely with x. 

If z = 14 when v = 28 and x = 4, find z when v = 27 and x = 9.



                          What is 6

500

For Tom's savings account, the interest earned varies jointly with the principal and amount of time (in years) since opening the account. If Tom opened the account 3 years ago with $5,000 and earned $250 in interest, how much interest will he have earned 18 years after opening the account?



                      What is $1,500

500

Convert to Standard Form.


y = 5(x-3)+ 7



                What is y = 5x- 30x + 52

500

Divide the rational expression.


(2a3 - 12a2) over (24a- 8a3) divided by (a-4a -12) over (a- 8a + 15)



             What is (a - 5) /-4(a + 2)

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