Math Practice

Kevin had $35 dollars in his savings account in January. By November he had $2500 in his account. What is the Kevin's rate of change between January and November?

$246.50 per month

Simplify (-3a^2 b^2)(4a^5 b^3)^3

-192a^17 b^11

Which are the zeroes for x^3 − 3x + 2?

-2 and 1

The algebraic expression 0.07d^3/2 describes the duration of a storm, in hours, whose diameter is d miles. Use a calculator to determine the duration of a storm with a diameter of 7 miles. Round to the nearest hundredth.

1.30

f(x) = 2x − 1 and g(x) = x^2 + 3 What is the value of g(f(-1))?

12

Solve for the following inequality: -20 < 4 - 2x

12 > x

A right triangle with a hypotenuse of 22 and height of 5. What is the the length of the triangle?

21.4

Which is the equation of a line, in standard form, with y-intercept -3 and parallel to the line 2x + 5y - 8 = 0?

2x + 5y +15 = 0

Which is the value of x in 8^(x+1) = 4^(2x−1)?

5

Which is equivalent to √18 − 4√8 + 2√50?

5√2

The simplified form of 2x^(3/2) • 3x^(-2/3) is

6x^(5/6)

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

6x^3 + 11x^2 - 18x - 20

Simplify (2x^3)^3 / x^15

8/x^6

You are looking for a new cellphone plan. Verizon offers $65 a month plus $0.10 per gig over monthly limit. Tmobile offers $35 a month plus $0.20 per gig over monthly limit. Write an equation for both. Then figure out how many gigs over the monthly limit will the two plans charge the same amount? And if you were to average 200 gigs over the monthly limit which company would be the better value?

Verizon: y = 0.10x + 65 Tmobile: y = 0.20x + 35 For 300 gigs over the monthly limit both plans will charge the same amount ($95). For 200 gigs over the monthly limit Tmobile has the better value. They only charge $75 whereas Verizon charges $85

loga = 0.30 and logb = 0.47 Which of the following has a value of 0.77?

log (ab)

Write an equation that works with the situation. Use "m" for mowed lawns, "h" for hours. Then answer the question. Jose ( lol ) has mowed 35 lawns. If he can mow 5 lawns per hour, how many hours would it take to mow 50 lawns?

m = 5h + 35 , h = 3.

Solve for x. 2(x+7) - 3(2x-4) = -18

x = 11

Given f(x) = 5x -16, find the value of x if f(x) = 74

x = 18

Simplify : (8 - x)^2

x^2 - 16x +64

Which is the inverse function, f-1(x) , of f(x) = 3x − 1/2?

ƒ-1(x) = (1/3)x + 1/6