Lesson 1094 of 1524
Solving Linear Equations
Simplify the expressions on both sides of the equation
Practice this chapterSimplify the expressions on both sides of the equation Determine whether the resulting equation is true
Subtraction and Addition Properties of Equality Subtraction Property of Equality For all real numbers a, b, and c , if a = b then a - c = b - c Addition Property of Equality For all real numbers a, b, and c , if a = b then a + c = b + c
solution of an equation — A solution of an equation is a value of a variable that makes a true statement when substituted into the equation.
Be able to determine whether a number is a solution to an equation. Step 1. Substitute the number for the variable in the equation; solve an equation with variables and constants on both sides Step 1. Choose one side to be the variable side and then the other will be the constant side; solve equations with fraction coefficients by clearing the fractions. Step 1. Find the least common denominator of all the fractions in the equation.
Worked example
What does “solution of an equation” mean in Solving Linear Equations?
- 1Use the wording this chapter gives for solution of an equation.
- 2The book says: A solution of an equation is a value of a variable that makes a true statement when substituted into the equation.
- 3Keep the answer tied to this term.
Result: A solution of an equation is a value of a variable that makes a true statement when substituted into the equation
Why. That is the meaning this chapter gives for solution of an equation.
Answer with the meaning this chapter gives. A nearby idea from the same book is a different term.
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.