Math Plays

On multiple choice questions, one of the four answers is already correct. You do not always have to solve; sometimes you can just test.

1. Start with choice B or C. Answer choices usually run smallest to largest, so a middle value tells you which direction to move.
2. Plug the choice into the question and check whether everything holds.
3. Too big? Test a smaller choice. Too small? Test a bigger one. You will land the answer in two tries at most.

When to run it: equations with messy algebra, word problems asking "what is the value of x," anything where solving forward feels slow.

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A word problem is a scene described in a script. Storyboard it. The moment you sketch it, half the confusion disappears.

1. Draw the situation: the triangle, the number line, the two trains, whatever it is. Label every number the problem gives you.
2. Mark what the question actually asks for with a question mark.
3. Now look at your sketch. The path from the numbers you have to the one you need is usually visible.

When to run it: geometry, percent and ratio stories, and any problem longer than two sentences.

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The Desmos graphing calculator is built into Bluebook, the College Board app you will take the real SAT in, and it is allowed on every Math question. Treat it like a crew member, not a backup plan.

1. Solving an equation? Type each side as its own graph and look where the lines cross. The x value at the crossing is your solution.
2. Asked about a system of equations? Graph both. The number of crossings is the number of solutions.
3. Checking your algebra? Graph your answer and the original. If the graphs sit on top of each other, you are right.

When to run it: systems, quadratics, and any "solve for x" where the algebra gets tangled. Practice in Desmos before test day so it feels like home; the free version at desmos.com is the same calculator.

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Questions in each module run from easiest to hardest, and every question is worth the same. So collect the easy points first.

1. First pass: answer everything that feels quick. Anything that makes you stall for more than a minute, flag it and move on. No hero moments on question 9.
2. Second pass: come back to the flagged ones with all the time you banked.
3. Never leave a blank. There is no penalty for guessing, so an educated guess beats an empty answer every time.

When to run it: both Math modules, start to finish.

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