Name: _______________________________________ Class: ___________________ Date: ______________
Grade 8 Holiday Assignment
1.) In the graph below, an Olympic-sized swimming pool is being filled with an average-sized garden hose.
Part A: At what hourly rate is the pool in the graph above being filled? Use mathematical reasoning to justify your
response.
Part B: Is the hourly rate at which the pool is filling the same as the slope of the line? Why or why not? Explain
your reasoning in words.
Part C: Determine the equation of the line in the graph above. Show how you determined your answer.
Part D: How long will it take to fill the 660,000-gallon pool? Use mathematical reasoning to justify your response.
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2.) Rectangle JKLM is dilated by a factor of 4 to create rectangle JIKILIMI. Which corresponding parts of the
rectangles are proportional and which are congruent? Justify your reasoning.
K
L
J
M
KI
LI
JI
MI
3.) Lee paid $18.75 for 3 pounds of coffee.
Part A: What is the cost per pound for this coffee?
Part B: How many pounds of coffee could she buy for $1.00?
Part C: Draw a graph in the coordinate plane of the relationship between the number of pounds of coffee and the
total cost.
Part D: In this situation, what is the meaning of the slope you drew in part (C)?
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4.) Lines m and n are parallel lines cut by a transversal, line q. Identify all angles that are not supplementary to 7 .
Justify your reasoning for each angle.
1
2
4
3
5
m
6
8
n
7
q