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3. Other Algebra Strategies

Written by: Pranav I
Formatted by: Rithanya S

Avoiding Algebra in the Digital SAT

  • Protects you from the trap answers set by the test-writers
  • Allows you to make use of a calculator even in algebra questions

Plugging In The Answers (PITA)

  • Can be used for solving word problems in which the answer choices are all numbers
  • Helps you skip the step of forming equations from the question
🔥 The PITA Basic Approach
  • Understand and write down what the answer choices represent
  • Start with one of the middle answer choices, work the steps of the problem
  • Look for something in the question that tells you what must happen for the answer to be correct
  • When you find the correct answer, STOP
  • Also works for non-word problems that ask for a specific value and have numbers in their answer choices
  • Spend your time trying answers rather than worrying about going in the wrong direction

🔥 3 ways to know that it’s time for PITA

  • There are numbers in the answer choices
  • The question asks for a specific amount: “the number of”; “what was” or “how many”
  • You have the urge to write an algebraic equation to solve the problem
  • The PITA approach will also avoid the issue of extraneous solutions

Plugging In Your Own Numbers

  • Pick numbers for the variables in the question
  • Use your numbers to find an answer to the questions, and circle your answer
  • Plug your number(s) for the variable(s) into the answer choices and eliminate choices that don’t equal the answer you found in Step 2

Which Numbers?

  • Plug in “100” for percentages
  • Plug in “30” or “120” for minutes (do not choose conversion factors like 60) 
  • In most cases, plugging in small numbers makes finding the answer easier
  • NOTE: Do not plug in 0, 1 or any other number in the question or answer choices- this will result in a mistake
  • These numbers make a problem less confusing by simplifying the arithmetic

Meaning in context

  • Task: Recognize what a part of the equation stands for
  • Label each part of the equation and use POE
  • If you find the equation confusing, try plugging in numbers

The MEANING IN CONTEXT Basic Approach

  • Read the question carefully. Make sure you know which part of the equation you are being asked to identify.
  • Use your scratch paper to rewrite the equation, replacing the parts of the equation you can identify with labels.
  • Eliminate any answer choices that clearly describe the wrong part of the equation, or go against what you have labelled.
  • Plug in! Use your own numbers to start seeing what is happening in the equation.
  • Use POE again, using the information you learned from plugging in real numbers, until you get it down to one answer choice.
🔥 Tip

Graphing equations can aid you in visualization

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