LAKE BRANTLEY
HIGH SCHOOL
MA.912.A.3.4 Graphing and Solving Inequalities
ALGEBRA
What You Need To Know..
Solve and graph simple and compound inequalities in one variable.
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The benchmark will be assessed using MC (Multiple Choice) items.
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Items may require justification for each step of the solution.
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Items may require graphing on a number line.
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Items may require solving simple and compound inequalities and/or graphing solutions on a number line.
Functions
Polynomials
Rationals Discrete
Example One
Andrew plotted a set of points on the coordinate grid shown below. All of the points have integer coefficients.
Which of the following points could be removed so that Andrew's graph represents a function?
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(-4, -3)
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(-2, 1)
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(0, 0)
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(2, -2)
Example Two
The function shown below is used to convert a temperature, x, in degrees Fahrenheit (°F), to a temperature, f(x), in degrees
Celsius (°C).
Micah wanted to convert today's high temperature of 77°F to °C. What is today's high temperature in °C?
Example Three
For one child, a childcare facility charges $300 per month for preschool and $3.50 per hour for each hour of childcare after preschool. The function below can be used to determine f(h), the monthly fee for childcare and preschool, where h represents the number of hours spent in childcare after preschool.
f(h) = 300 + 3.5h
If the one-month charges for one child totaled $637.75, what was the total number of hours the child spent in childcare after preschool?
