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MA.912.A.3.5 Real-World Application of Multi-Step Equations

ALGEBRA

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?

  1. (-4, -3)

  2. (-2, 1)

  3. (0, 0)

  4. (2, -2)

Functions

Polynomials

Rationals Discrete

What You Need To Know..

Solve linear equations and inequalities.

  1. The benchmark will assessed using MC (Multiple Choice) and FR (Fill in Response) items.

  2. Items may require students to express inequalities on a number line, or to use an inequality for a response.

  3. Items may require students to interpret a real-world application and write and/or solve a multi-step linear equation or linear inequality.

  4. Items may include compound inequalities presented in written format, graphically, and/or algebraically

     

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?

 

 

 

CLICK HERE FOR SOLUTION

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?



 

 

 

CLICK HERE FOR SOLUTION

World Problem Equations

Real-World Equations

Real-World Part 2

Multi-Step Inequalities

Linear Applications

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