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Checking solutions to two-variable linear equations
Plugging in values 256
Description
Exercise Name: Checking solutions to two-variable linear equations
Math Missions: 8th grade (U.S.) Math Mission, Algebra basics Math Mission, Mathematics I Math Mission, Algebra I Math Mission, Mathematics II Math Mission, Algebra II Math Mission, Mathematics III Math Mission
Types of Problems: 2

The Checking solutions to two-variable linear equations exercise appears under the 8th grade (U.S.) Math Mission, Algebra basics Math Mission, Mathematics I Math Mission, Algebra I Math Mission, Mathematics II Math Mission, Algebra II Math Mission and Mathematics III Math Mission. This exercise recognizes whether sets of number satisfy a function or not.

Types of Problems

There are two types of problems in this exercise:

  1. Determine which point is on the graph: This problem provides a graph and several points. The user is asked to determine which of the points are actually points on the function.
    Opstle1

    Determine which point is on the graph

  2. Determine which point is on the function rule: This problem provides a function and several points. The user is asked to determine which point is actually on the function.
    Opstle2

    Determine which point is on the function rule

Strategies

Knowledge of function notations and the various forms of functions are an advantage when trying to complete this exercise.

  1. This is not multiple select. Once a point is found that works, that is the one solution.
  2. The correct answer choice seems to be among the bottom half of choices about {70%} of the time, therefore it might be slightly more efficient to start plugging in from the bottom.

Real-life Applications

  1. Functions are the building blocks of much of the calculus.
  2. Functions can be used to model many aspects of business and science.
  3. Equations show up in nearly every science or business class one is ever in.
  4. Computers are also equation solvers. Computers were originally invented to solve equations over and over again instead of humans doing the calculations.
  5. Knowledge of algebra is essential for higher math levels like trigonometry and calculus. Algebra also has countless applications in the real world.

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