Equations involving Absolute Value
The distance between an unknown length and 7 inches is 2 inches. Write an absolute value equation for the unknown length.
| x - 7 | = 2
Are 4/3 and 6/8 equivalent ratios? Show work and answer yes or no.
no
Solve the equation (10ac - x)/11 = -3, for a.
a = (-33 + x)/10c
Scott found a rare comic book on an online auction site priced at 35 Australian dollars. If the exchange rate is $1 U.S. = $1.09 Australian, find the cost of the comic book in U.S. dollars. Round to the nearest cent.
$32.11
What are the solutions to the equation
| 3x - 1 | = -5 ?
No solution
Solve for a.
3/8 = 15/a
a = 40
The largest yo-yo in the world is 37.8 feet in circumference. The formula for the circumference of a circle is C = 2r(pi), where C represents circumference and r represents radius.
a) Solve the formula for r.
b) Find the radius of the yo-yo.
a) r = C/2(pi)
b) about 6 feet
A fisheye lens has a minimum focus range of 13.5 centimeters. If 1 centimeter is equal in length to about 0.39 inch, what is the minimum focus range of the lens in feet?
about 0.43875 feet
What are the solutions to the equation
| 3m - 7 | = 2 ?
3, 5/3
Solve for x.
7/(x + 9) = 21/36
x = 3
Solve 7h + f = 2h + g, for g.
g = 5h + f
If each lap in a pool is 100 meters long, how many laps equal one mile? Round to the nearest tenth. (Hint: 1 foot = approximately 0.3048 meters.)
16.1 laps
A sports arena can hold 18,500 people, plus or minus 1200 people.
a) Write an absolute value equation to represent the number of people that can attend an event.
b) What is the maximum number of people that can attend an event?
a) | x - 18500 | = 1200
b) 19,700 people
A school population is 2/5 boys. There are 450 students in the school who are boys. How many students are not boys?
675 students are not boys.
Solve the equation y - y1 = m(x - x1), for x.
(y - y1 + mx1)/m = x
How many liters of gasoline are needed to fill a 13.2-gallon tank? There are about 1.06 quarts per 1 liter. Round to the nearest tenth.
49.8 L