Algebra 2

logarithms

100

42^{x^2} = 84

1.0888

200

5^a = 120

a = 2.9746

300

2^{a - 4} = 82.1

a = 10.3593

400

ln 5x + ln x = 7

x = 14.8896

500

30^{x^2} = 50

x = 1.0725

radicals

100

-³√m⁶n³

-m²n³

200

p^4/5 x p^7/10

p^3/2

300

√-5²

imaginary

400

⁴√(2x)⁸

4x²

500

2√x-11 = √x+4

x = 16

quadratics

100

factor: 2n(n - 20) = 0

0 and 20

200

8u² - 2u = 0

0  and 1/4

300

3/1+

3/2 - 3i/2

400

√300

=10√3

500

square root method: x² - 1 = 39 

x = +/- 2√10

Polynomials

100

(3 + 2a + a²) + (5 - 8a + a²) 

2a² - 6a + 8

200

(5b - 3)(2b +1) 

10b² - b - 3

300

4u³ + 10u² - 6u / 2u

2u² + 5u - 3

400

(a² - 28) ÷ (a - 5)

a + 5 - 3/a-5

500

write the expression in quadratic form: x⁴ + 5x² - 8

(x²)² + 5(x²) - 8

Word problems

100

Log: The population P in thousands of a city can be modeled by the equation P = 80e^0.015t, where t is the time in years. In how many years will the population of the city be 120,000

about 27. 03100

200

A kid has 5 lolly pops. He gets 3 more how many lolly pops does the kid have?

The  kid has 8 lolly pops.

300

Alvin has 8 candies he gives 6 candies to his friends, how many candies does Alvin have left?

Alvin has 2 candies left.

400

If you have 87 treats and give 8 treats to your friends how many treats do you have left?

You will have 79 treats left.

500

Olivia has 5 times more candy then her friend, her friend has 6 candies how much candy does Olivia have?

Olivia has 30 candies.