Level A-MATC 103
MyPath Brandman
University, Irvine, CA
Quantitative analysis - Answer: The use of mathematics to support the problem-solving and
decision-making process
fundamental counting principle - Answer:
Visually representing the given information - Answer: Mark is trying to figure out all possible
combinations for traveling between two locations using a dircted graph. Which activity of the
quantitative problem solving process does this scenario represent?
A compound statement that uses "and" - a conjunction, will be true ONLY if the given two statements
are BOTH true. - Answer: Statement one: Sandra believes that her communication skills will improve
after the customer orientation program. Statement to: the organizers of the customer orientation
program certify that their program is very effective. If one of these statements is false and the other is
true which of the following statements must be false
Polya's Four Steps - Answer: 1. Understand the problem
2. Devise a plan
3. Carry out the plan
4. Look back
Understand the problem - Answer: First step in Polya's general problem solving strategy
, Identified what is being asked and what the given information is
Sometimes it is helpful to rephrase the question in your own words and make a sketch were constructed
table to illustrate the given information.
Make a plan for solving the problem - Answer: The 2nd step and Polya's problem-solving process
Look for patterns in the information provided an estimate a reasonable answer or range of values.
Approximating the answer and working backwards can often give insight to a solution path
Try to think of a similar, less complicated version of the situation.
Carry out the plan - Answer: Third step in Polya's general problem solving strategy
Identify in assign variables to unknown quantities and expressed in words what they each represent.
Give yourself plenty of space and time to proceed in an organized fashion, step-by-step.
If the plan does not yield a viable solution, learned from it and go back and try an alternate method.
Trying many different approaches and running in to "dead ends" is a normal part of the process.
Look back on your solution - Answer: Fourth step in Polya's problem-solving process
Check that your solution makes sense and answers the question.
Think about whether you could have solved the problem in a different way.
Obtaining an answer is not your only goal; communicating your solution is just as important.