Word Problems Worksheet - Regional Professional Development Program Page 32
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47Southern Nevada
Regional Professional Development Program
Set 24
1) The cost of a football, including 7% tax, is $26.75. What was the cost of the football
without the tax?
2) The distributive property says that multiplication is distributive over addition and
subtraction. 5(a + b) = 5a + 5b and 5(a – b) = 5a – 5b
On the following problems which do you think would be easier and why, simplifying
what is inside the parenthesis first then multiply, or using the distributive property?
Explain your reasoning.
12(8 - 2)
9(100 + 8)
11(15 – 8)
3) A homeowner is planning a garden composed of a square with
two semicircles on each side. What is the area of the garden as
π
shown? Use
=3.14.
4) Tony’s farm is in the shape of a square. It covers 64 square kilometers. What is the
length of one side in kilometers?
5) What is the length of the hypotenuse, c, in the right
triangle shown?
6) A pizza cost $15.00 after a 20% increase. What was the cost of the pizza before the
20% increase?
7) A regular hexagon can be cut into two congruent isosceles
trapezoids in how many different ways. Use the figure provided
to draw all possible ways.
8) The area of a lawn is 15 square yards. How many square feet is this?
9) Write the following ratios in simplest form
5 days to 1 week
2 feet to 1 yard
6 pies to 20 people
10) A trapezoid has a height of 8.5 cm and base lengths of 10 cm and 12 cm. What is the
area of the trapezoid?
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