Complete a Task Involving Algebraic Equations and Graphical Representations

Mar 11th, 2014
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Question description

RQLT_Task_1_(0113).pdf Rubric.doc SUBDOMAIN 212.1 - NUMERACY, ALGEBRA, & GEOMETRY

Competency 212.1.2: Solving Algebraic Equations - The graduate solves algebraic 

equations and constructs equations to solve real-world problems. 

Introduction: 

An important element of learning is to connect mathematical concepts with physical 

concepts. Graphical representations of mathematical functions will allow you to visualize the 

meaning and power of mathematical equations. The power of computer programs and 

graphing calculators provide a more thorough connection between algebraic equations and 

visual representation, which will increase appreciation and understanding of mathematical 

language. In this task, you will be making connections between algebraic equations and 

graphical representations. 

Task: 

A. Complete the following graphs: 

1. Graph the following values on a single number line. 

• Value 1: 1 

• Value 2: 0 

• Value 3: –6 

• Value 4: 3/4 

• Value 5: –1.7 

2. Graph the following points on a single coordinate plane. Make sure to include labels 

for each quadrant of the coordinate plane. 

• Point 1: (3, –2) 

• Point 2: (0, 0) 

• Point 3: (–1, 7) 

• Point 4: (3, 5) 

• Point 5: (–4, –5) 

3. Graph the following functions on separate coordinate planes. 

• Function 1: y= 2x − 1 

• Function 2: y= (–3/4)x + 5 

• Function 3: y= x

2

 − 4 

• Function 4: y= –3x

2

 − 6x − 5 

a. In each graph, label each axis of the coordinate plane. Additionally, label each 

intercept as “x-intercept” or “y-intercept” and include the ordered pair. 

• Whenever applicable, label the vertex as “vertex” and include the ordered pair. 

B. When you use sources, include all in-text citations and references in APA format. 

Note: Please submit all graphics and equations in *.pdf (Portable Document Format) files. 

Note: When bulleted points are present in the task prompt, the level of detail or support 

called for in the rubric refers to those bulleted points. 

Note: For definitions of terms commonly used in the rubric, see the Rubric Terms web link 

included in the Evaluation Procedures section. 

Note: When using sources to support ideas and elements in a paper or project, the ubmission MUST include APA formatted in-text citations with a corresponding reference list 

for any direct quotes or paraphrasing. It is not necessary to list sources that were consulted 

if they have not been quoted or paraphrased in the text of the paper or project. 

Note: No more than a combined total of 30% of a submission can be directly quoted or 

closely paraphrased from sources, even if cited correctly. For tips on using APA style, please 

refer to the APA Handout web link included in the General Instructions section. 


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School: UT Austin
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