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Mathematics
Study Set
Intermediate Algebra
Quiz 4: Systems of Equations and Inequalities
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Question 101
Short Answer
-These equations are "inverses" of each other. (This topic will be explored in Chapter 9.) We can analyze the equations by graphing them on a separate piece of graph paper. Graph the first equation as
Y
=
5
(
X
−
32
)
9
Y = \frac{5(X - 32)}{9}
Y
=
9
5
(
X
−
32
)
and the second as
Y
=
9
X
5
+
32
Y = \frac{9X}{5} + 32
Y
=
5
9
X
+
32
. (You may wish to use a graphing calculator to help you graph the lines.) Label your Xand Y-intercepts on the graph
Question 102
Short Answer
-Analyze your graph. Does there appear to be a point of intersection? If so, use one of the three methods discussed in this section (graphing, substitution, or elimination) to find the exact point of intersection X =______________ Y =______________
Question 103
Short Answer
-What does this intersection point mean in terms of the Fahrenheit and Celsius temperature scales?
Question 104
Short Answer
Quick Print Photos, Inc., develops 1425 photos in a single day. A portion of these photos were 4 in. × 6 in. prints and sold for $0.26 each. The remaining photos were 3.5 in. × 5 in. prints and sold for $0.17 each. How many of each size photo were sold if total sales for the day were $291.84? -Show the two equations needed to solve this problem. What do the variables in these equations represent?
Question 105
Short Answer
Quick Print Photos, Inc., develops 1425 photos in a single day. A portion of these photos were 4 in. × 6 in. prints and sold for $0.26 each. The remaining photos were 3.5 in. × 5 in. prints and sold for $0.17 each. How many of each size photo were sold if total sales for the day were $291.84? -Solve the system of equations and show your work here. The number of 4 in. × 6 in. photos sold was _____________. The number of 3.5 in. × 5 in. photos sold was ____________.
Question 106
Short Answer
Solve each system of equations by graphing. -