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Louisiana LEAP 2025 Algebra I systems of equations and inequalities quiz (A-REI, A-CED) quiz

12questions. Pick an answer and you'll see why right away.

  1. Solve the system y=2x1y = 2x - 1 and 3x+y=143x + y = 14.

  2. Solve the system 2x+3y=122x + 3y = 12 and 2xy=42x - y = 4 by elimination.

  3. A system graphs as two parallel lines. How many solutions does it have?

  4. Two lines graphed in a system cross at the point (2,3)(2, 3). What is the solution?

  5. When graphing y>2x+1y > 2x + 1, which describes the boundary and shading?

  6. Is the point (1,1)(1, 1) a solution to 2x+y42x + y \le 4?

  7. Is the point (2,1)(2, 1) a solution to the system yx+2y \le x + 2 and y>xy > -x?

  8. The solution set of a system of two linear inequalities is best described as:

  9. A store sells 200 tickets, 8adultand8 adult and 5 child, for $1360 total. How many adult tickets were sold?

  10. A factory makes x0x \ge 0 chairs and y0y \ge 0 tables, at most 40 items total. Which models 'at most 40 items'?

  11. Solve the system x+y=10x + y = 10 and xy=2x - y = 2.

  12. A system of two equations has both variables cancel, leaving the true statement 0=00 = 0. How many solutions?