1. 5x = 20
2. 7x - 3 = 18
3. y = x + 3
4. y = -2x - 7
5. 2x + 3y = 9
A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered to $80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75?
Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar?
Find an equation in slope-intercept form passing through the points (2,5) and (7,-3).
Sales tax in Pennsylvania is 6%. Create an equation for the total price (cost plus tax) of a purchase in PA in terms of its cost. How much would a person pay for a car whose cost is $32,000?
11. 6.2(x - 15.1) = 9.3(-x - 3.2)
12. x/3 - 7/8 = 2/5(x + 15/4)
Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph.
13. 7.1x - 3.9y = 1.4
14. 3x = -2
15.. 4.2x + 3.8y = 1.9
A semiconductor manufacturer seeks to maximize its profits. Testing indicates that they can produce 100,000 chips per week at a cost of $40 per chip, and sell them for $65 per chip. They also find that they can produce 125,000 chips per week at a cost of $35 per chip, and sell them for $63 per chip. How much profit can they expect to earn if they produce 130,000 chips per week?
Find the area of a rectangle if three of its corners are (-0.1,-3.4), (-7.9,-3.4), and (-0.1,6.8).
A temperature of 41 degrees F is equivalent to 278.2 degrees K, while a temperature of 86 degrees F is equivalent to 303.2 degrees K. Find the equation converting Kelvin temperature to Fahrenheit. What is the Fahrenheit temperature when it is 180 degrees K?
Find an equation in slope-intercept form passing through the points (-6.2,18.1) and (-3.4,18.1).
Tom buys $20,000 worth of stock, and sells it eight months later for $28,000. If he is required to pay 15% capital gains tax on his profits, how much tax will he pay?
Graphs and Solving Linear Equations are investigated. The solution is detailed and well presented.