Concept explainers
a.
To write an equation
a.
Answer to Problem 2.2.8P
210+ x= 390
Explanation of Solution
Given information:
Distance from Memphis to Nashville= 210 miles
Total distance travelled= 390 miles
Calculation:
Let the distance between Nashville and Knoxville be x.
According to equation,
Total distance= 390 miles
(Distance from Memphis to Nashville)+ (distance from Nashville to Knoxville) = 310
Substituting values,
210+ x= 390
Hence, 210+ x= 390 is the equation.
b.
To choose which property of equality be used
b.
Answer to Problem 2.2.8P
Subtraction property of equality.
Explanation of Solution
Given information:
210+ x= 390
To isolate the variable, subtraction property of equality can be used.
If we subtract 210 from both sides, variable x gets isolated.
c.
To find the distance between Nashville and Knoxville
c.
Answer to Problem 2.2.8P
Distance between Nashville and Knoxville is 180 miles
Explanation of Solution
Given information:
210+ x= 390
Calculation:
Using subtraction property of equality,
210+ x- 210= 390- 210
Solving,
Hence, distance between Nashville and Knoxville is 180 miles.
d.
To write an equation and find the distance
d.
Answer to Problem 2.2.8P
Equation is 210+ x= 390- 47
Distance from Memphis to Chattanooga is 343 miles
Explanation of Solution
Given information:
210+ x= 390
Calculation:
According to question,
Knoxville is 47 miles more than Chattanooga,
Distance from Nashville to Chattanooga will be x miles
Equation will be,
210+ x= 390- 47
On solving,
So,
Hence, distance between Nashville to Chattanooga is 133 miles,
Distance from Memphis to Chattanooga is 370- 47= 343 miles
Chapter ISG Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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