polynomials
imaginary numbers
radical equations
rational exponents
miscellaneous
100

solve (8x^2 - 11x + 4) + (5x^2 + 8x - 3)

13x^2 - 3x + 1

100

simplify the square root of -49 using imaginary numbers

7i

100

(5x + 11) = 9

-parenthesis represent square root

x = 14

100

convert x^4/9 to a radical exponent

^9 (x^4)

- parenthesis represent square root

100

Mason made the equation f(x)=10x+5 to calculate how much he makes at work. His friend Bill's equation is g(x)=9x+15. They want to compare who makes more if they both work for five hours. Solve both equations and state who makes more.

f(5)=55, g(5)=60, Bill makes more

200

(4x^4 + 8x^2 - 11) - (5x^4 - 2x^2 - 14)

-x^4 + 10x^2 + 3

200

simplify the square root of -32 using imaginary numbers

4i (2) - parenthesis are replacing square root symbol as there isn't one

200

solve (3x + 4) -2 = 3

-parenthesis represent square root

x = 7

200

convert ^11 (r^4) to a rational exponent

- parenthesis represent square root

r^4/11

200

solve (1 + 2i)(5 - 3i)

11 + 7i

300

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

-4x^2 - 20x + 8

300

(-12) X (-5)

- parenthesis replacing square root symbol

- X represents multiplication

-2 (15)

- parenthesis replacing square root symbol

300

solve (2x + 1) = 3

- parenthesis represent square root

x = 4

300

solve (d^3/5)(d^1/2) 

d^11/10

300
put the terms in ascending order

4x - xb^3 + x^6 + 14x^3b^4

14x^3b^4 + x^6 - xb^3 + 4x

400

(-2) (3x) (4x^4 + x^2 - 7)

-24x^5 - 6x^3 + 42x

400

solve 6/11i

-6i/11

400

solve (x - 5) = 2

- parenthesis represent square root

x = 6

400
solve x^5/x^3

x^2

400

determine the degree of the binomial

x^5 + x

5

500

(x - 7)^2

x^2 - 14x + 49

500

solve (3 + 4i) + (5 - 2i)

-8 + i

500

solve (2x + 3) = x : state both extraneous and non extraneous answers and which is which

- parenthesis represent square root


x = -1: extraneous

x = 3: non extraneous

500

solve x^3/4//x^1/2

x^1/4

500

find (f(x))(g(x))

f(x) = x + 7, g(x) = x - 12

x^2 - 5x - 84

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