Absolute Value and Inequalities
What is the maximum value of x if 10x < 400
40
(x - 10) - (2x + 3)
-x - 13
x^2 * x^4
x^6
Find the area of ABC triangle
A(0,0) B(6,0) C(3,3)
9
How many feet is 800 inches? Round to the nearest foot.
67ft
This inequality represents h, the number of hours Emma needs to work this week to earn at least $360 by the end of the month
12h + 240 >= 360
How many hours does she need to work?
10 hours
(3x^2 - 4x + 9) - (5x^2 + 3x - 4)
-2x^2 - 7x + 13
Simplify
(x^5)^10
x^50
Find the area of a semi circle with a diameter of 30m
353.4
Convert 3.5 tons to kilograms. Round to the nearest kg
3,181kg
Students are raising money by selling T-shirts.
- They ordered 100 tshirts to sell
- They sell tshirts for $20 each
This equation models P, the profits they will earn, as a function of n, from selling n tshirts
P(n) = 20n - 500
What is the domain of the function?
0 <= n <= 100
Distribute:
-5x(-6x^2 + 1)
30x^3 - 5x
Divide:
x^10 / x^5
x^5
A cylinder has length 60 and diameter 2.75. Find its volume.
356.4
Convert 6,000 yards to miles (to the nearest hundredth)
3.41 miles
Find the solution set for this inequality
2 - 4y > 14
y < -3
Which of the following is equivalent to x^2 + 5x - 84
a. (x+6)(x-14)
b. (x-6)(x+14)
c. (x+7)(x-12)
d. (x-7)(x+12)
d. (x-7)(x+12)
Write using only exponents:
(√6)^5
6^(5/2)
Find the area of trapezoid ABCD
A(-2,-2) B(2,3) C(6,3) D(8,-2)
35
On a map, 1 inch is 2.5 miles.
The distance between a museum and a library is 7.8 miles. How far apart are they on the map? Round to the nearest hundredth inch.
3.12in
What values will make the inequality true?
72 < 5x + 2 < 142
14 < x < 28
Multiply:
(x + 3)(x^2 + 4)
x^3 + 3x^2 + 4x + 12
Simplify
(n^3 * n^5)^2
n^16
The volume of a cylinder is V = pi*r^2*h
Write/rearrange a formula for the height of a cylinder
h = V/(pi*r^2)
An architect draws a blueprint for the roof of a building. It is a triangular roof with a height of 3.4 inches and a length of 4 inches.
If the blue print is 1 inch for every 6 feet, what is the area of the roof face?
244.8ft