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Problem Solving Strategies Flashcards

7 cards from real DSAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Problem Solving Strategies flashcards as text

  1. A rate problem says a car travels 240 miles in 4 hours. A student must find how far it travels in 7 hours at the same rate. Which setup is correct?

    Answer: 240 × 7 ÷ 4

    Unit rate = 240 ÷ 4 = 60 mph; distance in 7 hours = 60 × 7 = 420 miles, equivalent to 240 × 7 ÷ 4.

  2. On the DSAT, when a geometry problem provides a figure but says 'not drawn to scale,' what should you do?

    Answer: Trust the labeled values and use formulas, ignoring visual proportions

    Labeled values and given information are always accurate; visual appearance in non-scale figures can be misleading and must be ignored.

  3. A student sees two linear equations and must find their intersection. Which method is fastest when one equation is already solved for y?

    Answer: Substitution

    When one equation is solved for y, substituting that expression into the other equation immediately reduces the system to one variable.

  4. Which strategy should you use when an SAT problem has variables in the answer choices and you're unsure how to set up the algebra?

    Answer: Pick a simple number for the variable and test each answer choice

    Plugging in a simple number (like x = 2) lets you compute a concrete target value and then check which answer choice matches.

  5. A problem asks: 'What is 15% of 80?' A student wants the quickest mental math approach. Which is best?

    Answer: Find 10% of 80 and add half of that result

    10% of 80 is 8; half of 8 is 4; 8 + 4 = 12, giving 15% of 80 quickly without a calculator.

  6. When a DSAT problem involves a system with no solution, what must be true about the two linear equations?

    Answer: They have the same slope but different y-intercepts

    Parallel lines (same slope, different y-intercepts) never intersect, so the system has no solution.

  7. A student is stuck on a hard problem with 90 seconds left. What is the most strategic action?

    Answer: Eliminate obviously wrong answers, then guess among remaining choices

    Since the DSAT has no penalty for wrong answers, eliminating clearly wrong choices improves your odds and you should always guess.