Concept explainers
(a)
The equation
Given information:
The equation:
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 solve the formula for p , first divide each sides by (1+r ), to simplify further as shown below:
Thus, the formula is
(b)
To explain how to solve the equation for P.
The equation
In the given equation, A is the account balance, P is the principal and r is the interest rate. First divide the given equation by (1+ r ) to simplify the formula for the principal, that is P.
(c)
The equation
Given information:
The equation:
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 solve the formula for r , first divide each sides by P, and then subtract 1 from both sides to simplify further as shown below:
Thus, the formula is
(d)
To explain how to solve the equation for r.
The equation
In the given equation, A is the account balance, P is the principal and r is the interest rate. First divide the given equation by P and then subtract 1 from both sides to simplify the formula for the interest rate , that is r.
Chapter 2 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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