Clever algebra

Vieta's formulas, symmetric expressions, and substitutions that turn a hard problem into an easy one.

Standards:AMC 10

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

If 3x + 2 = 5x − 6, what is the value of x²?

Question 2 of 3

If 3(x − 2) + 5 = 2x + 8, what is the value of x?

Question 3 of 3

If 3x + 2 = 5x − 6, what is the value of x?

How this fits in

Clever algebra is one skill in the SAT / Olympiad Prep unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

SAT linear equations and inequalities in context
SAT systems of equations
SAT nonlinear equations and functions
SAT ratios, rates, and percentages
SAT data interpretation
SAT probability and statistics
SAT geometry and trigonometry
Number theory puzzles
Counting and probability puzzles

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