SAT systems of equations

Two-variable systems, including ones asking for a combination like x + y rather than each variable.

Standards:SAT · Algebra

Try it: three questions

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

Question 1 of 3

A concert venue sells tickets at two prices. Adult tickets cost $25 each and student tickets cost $15 each. If the venue sold 120 total tickets and earned $2,400 in revenue, how many adult tickets were sold?

Question 2 of 3

A bookstore sells novels and textbooks. On Monday, 3 novels and 2 textbooks cost $35. On Tuesday, 2 novels and 5 textbooks cost $60. What is the price of one novel?

Question 3 of 3

A movie theater sells popcorn and drinks. Three popcorns and two drinks cost $19. Two popcorns and four drinks cost $22. What is the cost of one popcorn?

How this fits in

SAT systems of equations 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.

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