2-8 Literal Equations And Dimensional Analysis Worksheet With Answers - Cognero Page 17
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27number of miles that were driven in a given amount of time. Time could be measured in minutes or hours, but hours
are most commonly used. The units used in this case would then be miles per hour.
The rate of a car is faster than a caterpillar. The rate of a car is best described by miles per hour and the rate of the
2-8 Literal Equations and Dimensional Analysis
caterpillar is best described by inches per second. So, you cannot use the same unit for each situation.
ERROR ANALYSIS Sandrea and Fernando are solving 4a
5b = 7 for b. Is either of them correct? Explain.
Compare their solutions line by line. In the first line both Sandrea and Fernando have the problem written, but in the
second line we already see a difference in their solution. Sandrea has
while Fernando has
. Looking back at the original equation
we see that there is a
, and that Fernando has
Following the rest of their solutions, we see that no further mistakes are made, however the one error that Fernando
made in the second line gives him the wrong solution.
Sandrea is correct because she performed each step correctly. Fernando omitted the negative sign from 5b.
OPEN ENDED Write a formula for A, the area of a geometric figure such as a triangle or rectangle. Then solve
the formula for a variable other than A.
Sample answer for a triangle: The area of a triangle is given by the formula
. Solve it for b.
CCSS PERSEVERANCE Solve each equation or formula for the variable indicated.
for x
a.
for y
b.
a.
Page 17
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