Concept explainers
Convert: The sum of six and four time d is the same as d minus nine into an Algebraic Equation.
Answer to Problem 2PT
Equation:
Explanation of Solution
Given:
Three times the difference of two times m and five times is equal to eight times m to the second power increased by four.
Concept Used:
An algebraic expression is a mathematical expression that consists of variables, numbers and operations. The value of this expression can change.
For example, 2(3 + 8) is a numeric expression.
Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.
Definition of algebraic equation : an equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.
Calculation:
Convert the sentence ‘Three times the difference of two times m and five times is equal to eight times m to the second power increased by four’.
Three times the difference of two times m and five times =
Eight times m to the second power increased by four =
Algebraic equation for ‘Three times the difference of two times m and five times is equal to eight times m to the second power increased by four’
Thus, the algebraic equation is
Chapter 2 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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