Math II · A-REI.7

Solve simple linear-quadratic systems algebraically and graphically.

Solve simple linear-quadratic systems algebraically and graphically.

Concept Algebra
Domain Reasoning with Equations and Inequalities
Problem Types

Problem Templates In This Objective

12 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Solve a linear-quadratic system by substituting the line into the quadratic

4 variants
Template 2

Solve a linear-quadratic system by substituting the line into the quadratic

4 variants
Template 3

Estimate line-parabola intersections from a graph

4 variants
Template 4

Determine whether a simple linear-quadratic system has two, one, or no real intersections

4 variants
Template 5

Recognize no real solution in a line-parabola system

4 variants
Template 6

Solve a linear-quadratic system when the line is horizontal or vertical

4 variants
Template 7

Interpret line-parabola intersections in context

4 variants
Template 8

Check a candidate point in a linear-quadratic system

4 variants
Template 9

Verify whether an ordered pair is a solution to a linear-quadratic system

4 variants
Template 10

Solve a linear-quadratic system by substituting the line into a factored quadratic

4 variants
Template 11

Solve a linear-quadratic system by substituting the line equation into the quadratic

4 variants
Template 12

Fix a setup error in a linear-quadratic system

4 variants