Back to Solve linear-quadratic systems — Problem 1 · Task Set 44

Exercises: Solve Linear-Quadratic Systems

Show all algebraic steps. For each solution (x, y), verify in both original equations.

Grade 10·17 problems·~40 min·Common Core Math - HS Algebra·standard·hsa-rei-c-7
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Fluency Practice

Coordinate plane showing the line y = x + 2 and parabola y = x squared with labeled intersection points at (2,4) and (-1,1).
1.

Solve the system y=x+2y = x + 2 and y=x2y = x^2 algebraically. Show all steps and verify both solutions in both original equations.