Algebra Bank 2

Algebra Tips & Tricks

• Isolate the variable step by step. Do not skip around.
• Do the same operation to both sides of the equation every time.
• Watch negative signs carefully. Small sign mistakes cause big point loss.
• Combine like terms first before trying to solve.
• Distribute carefully when parentheses appear.
• Clear fractions when helpful by multiplying both sides by the denominator.
• If decimals look messy, rewrite them as fractions or multiply to remove them.
• When variables are on both sides, move variable terms to one side and constants to the other.
• Always check the equation type: one solution, no solution, or infinitely many solutions.
• If the answer choices are numbers, plugging in can sometimes be faster than solving from scratch.
• Eliminate unreasonable choices quickly on multiple-choice questions.
• In word problems, define the variable first before writing the equation.
• Translate carefully:
  • “of” = multiply
  • “is” = equals
  • “more than” = add
  • “less than” = subtract — but order matters
• On the PSAT/SAT, many algebra questions are really testing whether you can set up the equation correctly.
• If the question asks for 2x + 3, y, or another expression, do not stop after finding x.
• Plug your answer back in when possible for a quick check.
• If factoring works, look for a greatest common factor first.
• Keep your work neat. Clean work prevents careless mistakes.
• If a problem feels long, break it into smaller pieces.
• Under timed pressure, accuracy beats rushing.

Fast Reminders

• Distribute carefully
• Combine like terms
• Move variables together
• Move constants together
• Clear fractions when helpful
• Check what the question is actually asking
• Plug back in when possible

Common Score Leaks in Algebra

• Dropping a negative
• Forgetting to distribute to every term
• Solving for x when the question asks for something else
• Mixing up inverse operations
• Making arithmetic mistakes after a correct setup
• Rushing through simple steps and losing easy points