Concept explainers
Write an equation for the given statement and solve for a.
Answer to Problem 30PPS
The equation is,
Explanation of Solution
Given information:
Ten plus eight times a number a equals eleven times number d minus six.
Concept Used:
- To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
- To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
- To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
- To get rid of a number in division from one side, multiply the same number both sides of equal sign.
Rules of Addition/ Subtraction:
- Two numbers with similar sign always get added and the resulting number will carry the similar sign.
- Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.
Rules of Multiplication/ Division:
- The product/quotient of two similar sign numbers is always positive.
- The product/quotient of two numbers with opposite signs is always negative.
Calculation:
In order to convert the statement to an equation, observe that ten plus eight times a number a, that is,
Now in order to solve for the variable a, subtract 10 from both sides, and thendivide both sides by 8 and simplify further as shown below:
Thus, the formula for the variable is
Chapter 2 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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