What You Need To Know...
Solve linear equations and inequalities.
- The benchmark will assessed using MC (Multiple Choice) and FR (Fill in Response) items.
- Items may require students to express inequalities on a number line, or to use an inequality for a response.
- Items may require students to interpret a real-world application and write and/or solve a multi-step linear equation or linear inequality.
- Items may include compound inequalities presented in written format, graphically, and/or algebraically.
The out-of-pocket costs to an employee for health insurance and medical expenses for one year are shown in the table below.
EMPLOYEE'S ANNUAL HEALTH CARE COSTS
|Type of Cost||Definition||Cost to Employee|
|Premium||Total amount employee pays insurance company for the policy||$3,626|
|Deductible||Amount of medical expenses employee pays before insurance company pays for anything||$500|
|Co-payment||Percentage of medical expenses after the first $500 that employee has to pay||20%|
According to the plan outlined in the table, total annual health care costs, C, depend on the employee's medical expenses for that year. If x represents the total medical expenses of an employee on this plan and x > 500, which of the followiing equations can be used to determine the employee's total health care cost for that year?
A. C = 3,626 – 500 + 0.20(x – 500)
B. C = 3,626 – 500 + 0.20x
C. C = 3,626 + 500 + 0.20(x – 500)
D. C = 3,626 + 500 + 0.20x
Karen works as a salesperson for a local marketing company. Using the equations shown below, the company calculates her monthly earnings based upon her total sales for the month.
MONTHLY EARNINGS EQUATIONS
|Total Sales for the Month
(s in dollars)
|s < $5,000||E = 1,600 + 0.1s|
|s > $5,000||E = 1,600 + 0.1s + 0.15(s - 5000)|
E represents total monthly earnings before taxes and withholding
s represents the dollar amount of her total sales
Karen's total sales were greater than $5,000 in October. If her total monthly earnings for October were $3,000, what was the value of her total monthly sales, s ?
Ethan's job at a local home improvement store is to mix paint to make different colors. For a particular customer, he mixed p liters of blue paint, 0.8p liters of yellow paint, and p - 0.4 liters of orange paint. He then divided the mixture evenly into two cans. If each can contains 1.9 liters of paint, how many liters of blue paint did he use?