Concept explainers
To find: the consecutive even integers
Answer to Problem 8P
The consecutive even integers are
Explanation of Solution
Given information: “The greater of two consecutive even integers is 20 more than twice the smaller”
Concept Involved:
Assign variable for the unknown that we need to find.
Use the keywords in the statement to rewrite the statement to meaningful math equation.
“is” means =
“more than” means +
“twice” means 2×
Solve the equation by getting the variable in one side of the equation and undoing whatever is done to it by performing reverse operation.
Calculation: Assign variable for the unknown that we need to find
Let x be the smaller even integer, so x+2 will be the consecutive even greater integer
Rewrite the sentence using the variable representing smaller and greater integer
Replace the keywords to get an equation representing the sentence given
In the process of getting x in one side of the equation subtract 2x on both sides
Combine like terms on both sides
Subtract 2 on both sides of the equation
Combine like terms on both sides of the equation
Divide -1 on both sides of the equation
Simplify fraction on both sides of the equation
Substitute -18 for x in the expression
Conclusion:
A integers that satisfying the description “The greater of two consecutive even integers is 20 more than twice the smaller” are
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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