Solving Equations - All Types

Linear and Quadratics

100

Solving Equations

x^2 + 3 = 7

What is: 

x=2 and x =-2

200

Solving Equations

x^2-8x = -16

What is: 

x=4

300

Solving Equations

3x^2+11x=-6

What is: 

x=-2/3 and x=-3

400

25- 4b + 2(b+3) =34

b=

-3/2

500

Solving Equations

5b^2+28=27b

What is:

b=7/5 and b=4

Exponential and Logs

100

Solving Equations log₃ x =2

What is:

x=9

200

Solving Equations

 6^(-2x) = 6^(2-3x)

What is:2

300

log (5x) = log (2x +9)

What is: x = 3

400

Solving Equations

2^(2b)2^(-3b)=2(2b)

What is:

b=0

500

Solving Equations: 

-10 + ln(x-1)= -10

What is:

n=-2

Radicals

100

2 = √ (4b)

What is: 1

200

-8 +√ (5a-5)=-3

What is 6

300

 √ (3x) = √ (4x-1)

What is 1

400

b = √ (-4 +4b)

What is 2

500

x =  √ (-1-2x)

What is no solution

Rationals

100

2/x=6/-9

x=-3

200

1/x = 6/5x +1

x = -1/5

300

Solve: (1)/(n-8) -1 = 7/(n-8)

What is n= 2

400

6/(b+9) = 4/(b+5)

b=3

500

(x+5)/(x^2+x)=1/(x^2+x) - (x-6)/(x+1)

x=4 and x =1

Absolute Value and complex numbers

100

x²-6x+12=0

What is 3+i√ 3 and 3-i√ 3

200

abs (x+8)<12

What is (-20,4)?

300

abs (x-3) + 8 = 3

What is no solution? 

400

2x²-5=-35

What is i√ 15 and -i√ 15

500

5x²-3=-8

What is i and -i