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Your search returned 7 results.

Standard: 8.EE.8

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Intermediate, 8th Grade

Analyze and solve pairs of simultaneous linear equations.

Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

Component: 8.EE.8.b

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Intermediate, 8th Grade

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

Component: 8.EE.8.c

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Intermediate, 8th Grade

Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.

Standard: N-CN.7

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Commencement, 9th Grade, 10th Grade, 11th Grade, 12th Grade

Solve quadratic equations with real coefficients that have complex solutions.

Component: A-REI.4.b

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Commencement, 9th Grade, 10th Grade, 11th Grade, 12th Grade

Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

Standard: A-REI.7

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Commencement, 9th Grade, 10th Grade, 11th Grade, 12th Grade

Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = -3x and the circle x2 + y2 = 3.