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Rational Thinking
The diagonal of a rectangle is longer than 15 cm but shorter than 16 cm.
Which measurement below could be the length of the diagonal in
centimeters?
Rocking Reality
Susan answered 90% of her test questions correctly. She answered 54
questions correctly. How many questions were on the test?
Solve It
Susie made a box shaped like a cube. The volume of the box is 64 cubic
inches. Then, she made another box shaped like a cube. The sides of the
second box were double the sides of the first box. What is the change in
volume of the second box compared to the volume of the first box?
Shape Shifter
A triangle has the coordinates (2,–3), (2,–5), and (5,–5). What are the new
coordinates if the triangle is dilated by a factor of –10?
Geometry Gems
A 60-ft tall tree makes a shadow 105 ft long. How tall is a tree that makes
a 35-ft long shadow?
Formula Formula Formula
The radius of a circle is tripled. How is the circumference affected?
Fortune Telling 101
Which situation would show a positive correlation when graphed on a
scatterplot? Be sure to exp[lain your answer.
a child’s height versus age
an adult’s height versus age
a person’s height versus eye color
a person’s height versus number of pets owned
Perfect Plots
Which equation is linear and explain why you did not choose the other 3
answers?
y = 7(x2)
y = x–4
y = 7(x3)
y = 7x
Dynamic Data
What is the slope of the line in the graph below and show all of your
work?
Graph Graph Graph
What is the slope of a line that passes through (4,3) and (–4,3)? Explain
your answer in detail!
Inequalities
Which ordered pair is a solution to the inequality y > 2x + 4? Why?
(2,4)
(–4,–2)
(4,2)
(–2,–4)
Earth Shaking Equations
Which equation represents the line that passes through point A(0,4) with
a slope of –3? Explain in detail your answer.
y = –3x + 4
x = –3y + 4
y = 4x − 3
x = 4y − 3
Exceptional Exponents
The volume of a cone is V = πr²h. To solve the equation for r, what would
be the final step?
Funky Functions
The owner of a bicycle repair shop has created a function relating the
number of hours worked to the number of bikes repaired. The graph of
the function is shown below.
What is this function?
Sloping
Which is the equation of the line that passes through points A(–5,3) and
B(4,7)?
The Last Word
Samuel is buying hamburger meat and hot dogs for a class picnic. He has
$25. The hamburger meat costs $2.29 per pound, and a package of hot
dogs is $1.89. Which equation can be used to show the amount of
hamburger meat and number of packages of hot dogs Samuel can buy?
Explain your answer in detail!