Solve It!
Rewriting, Undoing, or Looking Inside
Potpurri
Simplifying
Rationals
Graphs
100

-5x+4≥-6

What is x is less than or equal to 2?

100

Dividing by 4 to turn  4x^2+8=16  into  x^2+2 = 2 

What is rewriting?

100

By flipping the expression and then making the exponent positive.

What is dealing with negative exponents? 

100

u^5v^-3*(-u^5v^-4)^0

What is 

u^5/v^3

100

The equation of 

What is -2x+3>y?

200

3x^2+10x+3=0

What is x = -3 and -1/3? 

200

Squaring something to turn  sqrt(x+3)=2 into  x+3=4 

What is undoing? 

200

The full name of the mathematical operation that undoes exponents raised to the power of a variable.

What is a logarithm? 

200

(24b^2-4b^3)/(4b^2)*(8b^2)/(b-6)

What is 

-8b^2?

200

The potential equation for this polynomial

What is  f(x)=(x+2)(x-1)(x-4^2) ?

300

2-abs(x+3)<5

What is all real numbers? 

300

Realizing that if  abs(x+4)=25 then x+4 = 25 and x+4 = -25 

What is looking inside?

300

NO CALCULATOR!  The value of  4^(3/2) 

What is 8?

300

1/(n-5)div(n+6)/(5n^3+30n^2)

What is 

(5n^2)/(n-5)?

300

The inverse function of  f(x)=sqrtx+4 

What is 

f^-1(x)=(x-4)^2

400

 sqrt(2x+3)=x 

What is x = 3 (because x = -1 is extraneous)?

400

Solving  (3x+1)/5 -(2x+4)/(10x) by multiplying the first term by  (2x)/(2x) 

What is rewriting? 

400

A solution that appears through the problems solving process, but does NOT satisfy the original equation.

What is an extraneous solution? 

400

(6)/(12n+12)+(8)/(2)

What is 

(8n+9)/(2(n+1))?

400

Find all intersections between the functions  y=(x-2)^2-1 and  x-1 

What are (1,0) and (4,3)?

500

 (6x-1)/5-3x=(12x-16)/15 

What is x = 1/3? 

500

Realizing that if (x+3)(x-2) = 0 then any value of x that makes any of those factors zero satisfy's the equation so x = -3 or 2.

What is looking inside? 

500

A number that has both a real and imaginary part, usually displayed in a +/- bi form.

What is a complex number?

500

(16x-12)/(4x^2+5x-6)-(3)/(x+2)

What is 

1/(x+2)?

500

All the roots of the parabola  y=2x^{2}-3x+4 

What are 

3/4+sqrt23/4i and 3/4-sqrt23/4i?

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