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Intercepts from a linear equation
Solving for the x-intercept 256
Description
Exercise Name: Intercepts from a linear equation
Math Missions: 8th grade (U.S.) Math Mission, Algebra basics Math Mission, Algebra I Math Mission, Mathematics I Math Mission
Types of Problems: 1

The Intercepts from a linear equation exercise appears under the 8th grade (U.S.) Math Mission, Algebra basics Math Mission, Algebra I Math Mission and Mathematics I Math Mission. This exercise finds the x-intercepts on linear graphs.

Types of Problems

There is one type of problem in this exercise:

  1. Find the x-intercept of the equation: This problem provides a linear equation written in standard form. Users are asked to find the x-intercept of the equation and provide the answer in an ordered pair slot.
    Sftx1

    Find the x-intercept of the equation

Strategies

Solving linear equations and substituting values for variables are needed to perform this exercise in the standard way. Graphing could be used to avoid these skills.

  1. The x-intercept is found by replacing {y} with zero and solving.
  2. Research indicates the x-intercept is controlled so that the answer is an integer.
  3. Since the problem is practically the same, dividing the isolated number on the right by the coefficient to the x will always provide the single number that needs to be inserted.

Real-life Applications

  1. Problems like this occur often on SATs and other standardized tests.
  2. Linear models are common in business and the sciences and the x-intercept often provides information about the model.
  3. Computers are also equation solvers. Computers were originally invented to solve equations over and over again instead of humans doing the calculations.
  4. 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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