2-8 Literal Equations And Dimensional Analysis Worksheet With Answers - Cognero Page 19
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27You can rewrite the equation to isolate the unknown variable, substitute the given information, and then simplify to
find the solution. For example, you will use the formula
if you are given the radius and asked to find the
circumference. However, if you are given the circumference, you would need to use the equation
2-8 Literal Equations and Dimensional Analysis
Eula is investing $6000, part at 4.5% interest and the rest at 6% interest. If d represents the amount invested at
4.5%, which expression represents the amount of interest earned in one year by the amount paying 6%?
A 0.06d
B 0.06(d
6000)
C 0.06(d + 6000)
D 0.06(6000 d)
To find the amount of interest, multiply the amount invested at 6% by the interest rate in decimal form. So, the
amount of interest is 0.06(6000 d). Choice D is the correct answer.
Todd drove from Boston to Cleveland, a distance of 616 miles. His breaks, gasoline, and food stops took 2 hours. If
his trip took 16 hours altogether, what was Todd s average speed?
F 38.5 mph
G 40 mph
H 44 mph
J 47.5 mph
To find Todd s average speed, divide the number of miles he drove, 616, by the amount of time he spent driving, 16
2 or 14 hours.
Todd s average speed was 44 miles per hour. So, Choice H is the correct answer.
SHORT RESPONSE Brian has 3 more books than Erika. Jasmine has triple the number of books that Brian has.
Altogether Brian, Erika, and Jasmine have 22 books. How many books does Jasmine have?
Let b = the number of books Erika has. Let b + 3 = the number of books Brian has. Let 3(b + 3) = the number of
books Jasmine has. So, b + b + 3 + 3(b + 3) = 22.
Jasmine has 3(2 + 3) or 15 books.
GEOMETRY Which of the following best describes a plane?
A a location having neither size nor shape
B a flat surface made up of points having no depth
C made up of points and has no thickness or width
D a boundless, three dimensional set of all points
Choice A defines a plane as a location having neither size nor shape. However, planes are not locations.
Choice C describes a plane as made up of points and has no thickness or width. However, the plan is only made up
of points that are on the plane. There can be points not on the specific plane.
Choice D describes a plane as a boundless, three dimensional set of all points. However, planes are two-
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So, Choice B is the correct answer.
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