
a.
To write:
Algebraic expression for one number in terms of another
Solution:
Explanation:
1) Concept:
Here we have to use the concept of sum of two numbers.
If we have the sum of two numbers and one of the numbers is given, then the other number is difference of the total sum and the first number.
2) Given:
The sum of two numbers is 16.
And one number is
3) Calculations:
If the sum of two numbers is 16 and one of the numbers is
Therefore, the other number is
Final statement:
The expression for the other number is
b.
To write:
Algebraic expression representing the measure of the other angle as an expression in
Solution:
Explanation:
1) Concept:
Two angles are supplementary if the sum of their measures is
2) Given:
Two angles are supplementary, and the measure of one angle is
3) Calculations:
Two angles are supplementary.
So, sum of their measures is
The measure of one angle is
Thus, the other angle can be represented as the difference of
That is,
Final statement:
The measure of the other angle can be represented as
c.
To write:
An algebraic expression representing the next even integer as an expression of
Solution:
Explanation:
1) Concept:
We have to use the relation between two consecutive even numbers: the next even integer is obtained by adding
2) Given:
3) Calculations:
Here,
The next even integer can be obtained by adding
Therefore, the next even integer can be obtained as
Final statement:
An algebraic expression representing the next even integer as an expression of
d.
To write:
An algebraic expression to represent the age of the older brother as an expression of
Solution:
Explanation:
1) Concept:
The age of the older brother can be found by adding the number of years of difference in their ages.
2) Given:
The younger brother is
3) Calculations:
The younger brother is
The younger brother is 9 years younger than the older brother.
That is, the difference of ages between both the brothers is
Therefore, the age of an older brother can be found by adding
Thus, the age of the older brother is
Final statement:
An algebraic expression to represent the age of the older brother as an expression of

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Chapter 1 Solutions
INTERMEDIATE ALGEBRA (LOOSE)-W/ACCESS
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