Math I · A-REI.6

Solve systems of two linear equations exactly and approximately using algebraic and graphical methods.

Solve systems of two linear equations exactly and approximately using algebraic and graphical methods.

Concept Algebra
Domain Reasoning with Equations and Inequalities
Problem Types

Problem Templates In This Objective

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

Template 1

Solve a system by substitution when one variable is already isolated

4 variants
Template 2

Solve a system by isolating a variable first, then substituting

4 variants
Template 3

Solve a system by elimination when coefficients already cancel

4 variants
Template 4

Solve a system by elimination after deciding whether a multiplier is needed

4 variants
Template 5

Solve a system by elimination after multiplying both equations

4 variants
Template 6

Build and solve a system for a break-even context

4 variants
Template 7

Estimate the solution of a system from a graph

4 variants
Template 8

Estimate the solution of a system from a table

4 variants
Template 9

Classify a linear system as one solution, no solution, or infinitely many solutions

4 variants
Template 10

Interpret a system solution in context

4 variants
Template 11

Solve a system with fractions or decimals

4 variants
Template 12

Write and solve a system from two context constraints

4 variants
Template 13

Verify whether an ordered pair solves a system

4 variants