Lesson 605 of 1524
Solving Linear Equations
How to determine whether a number is a solution to an equation Step 1.
Practice this chapterHow to determine whether a number is a solution to an equation Step 1. Substitute the number in for the variable in the equation
If it is true, the number is a solution. If it is not true, the number is not a solution
linear equation — A linear equation is an equation in one variable that can be written, where a and b are real numbers and a ≠ 0 , as a x + b = 0. number — a solution to an equation Step 1. conditional equation — An equation that is true for one or more values of the variable and false for all other values of the variable is a conditional equation. identity — An equation that is true for any value of the variable is called an Identity. The solution of an identity is all real numbers.
Worked example
What does “linear equation” mean in Solving Linear Equations?
- 1Use the wording this chapter gives for linear equation.
- 2The book says: A linear equation is an equation in one variable that can be written, where a and b are real numbers and a ≠ 0 , as a x + b = 0.
- 3Do not use the meaning of number. That term means a solution to an equation Step 1.
Result: A linear equation is an equation in one variable that can be written, where a and b are real numbers and a ≠ 0 , as a x + b = 0
Why. That is the meaning this chapter gives for linear equation.
Do not swap linear equation and number. linear equation means A linear equation is an equation in one variable that can be written, where a and b are real numbers and a ≠ 0 , as a x + b = 0. number means a solution to an equation Step 1.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.