top of page

MA.912.A.3.8 Graphing Linear Equations

ALGEBRA

Functions

What You Need To Know..

 

Graph a line with given information.

  1. The benchmark will be assessed using MC (Multiple Choice) items.

  2. Students will identify graphs given: a table of values; the x- and y-intercepts; two points; the slope and a point; or the equation of the line in slope-intercept form, standard form,or point-slope form.

  3. Students will identify graphs of linear inequalities given: the equation of the linear inequality in slope-intercept form; or the equation of the linear inequality in standard form.

  4. Items may include lines with zero slope or undefined slope.

  5. Graphics should be used in all items.

  6. Equations should not be presented in function notation

     

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?

  1. (-4, -3)

  2. (-2, 1)

  3. (0, 0)

  4. (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?

 

 

 

CLICK HERE FOR SOLUTION

Table of Values 

Standard / Using Intercepts

Using Slope

Slope-Intercept Form

Point Slope Form 

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

bottom of page