Evaluating Expressions and Formulas Applied Algebra Chapter 3

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Evaluating Expressions and FormulasApplied
Algebra Chapter 3
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Evaluate the expression.
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16 x 2 3232 9 41
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Evaluate the expression.
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16 ?4 464?416
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Evaluate the expression.
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32 98 - 9 -1-1 9 8
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Find the value of 5a - 7b

• When
• a -3 and b -4

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5(-3) - 7(-4)-15 28 13
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Find m3 6 - n2

• When m -2
• and
• n -3

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(-2)3 6 - (-3)2 -8 6 - 9 -2 - 9 -11
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Find pq2 r

• When p 4
• q 3 and r -10.

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(4)(3)2 (-10) (4)(9) (-10) 36 -10 26
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2(3 4) 2(3) 2(4)

• The above is an example of what property?

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Distributive Property
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The temperature on a bank thermometer shows 45
C.What is the temperature in degrees Fahrenheit?
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A patient has a temperature of 100F. What is
the patients temperature in degrees Celsius?
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Write a formula to show the relationship between
the number of plants growing in one year and the
next. Then use the formula to complete the table.
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N x 3.5N 27.5 3.5N 31
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Write the formula for finding the perimeter of a
rectangle.
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P 2L 2W
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Write the formula for finding the area of a
rectangle.
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A LW
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Write the formula for finding the length of a
rectangle when you know its area and width.
A
L
W
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A
L
W
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What is the diameter of a circle that has a
radius of 7.5 inches?
R 7.5
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7.5 x 2 15
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The path from the center of a circular garden to
its edge is 8 feet long. What is the length of a
path around the outer edge of the garden?
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C 2 ?rC 2(3.14)(8)C50.24
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Suppose one quart of paint will cover 180 square
feet. You need to paint a circular sign that has
a diameter of 8 feet. How many quarts of paint
must you purchase?
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A ?r2A (3.14)(42)A (3.14)(16)A
50.24180 sq ft/gallon 45 sq ft / qt.(180/4
45)Need 2 quarts of paint.
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One cubic yard of concrete costs 48. A
rectangular concrete pier has dimensions 4 feet
by 2 feet. The pier is 18 feet high. How much
will it cost to fill the pier with concrete?
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VlwhV4(2)(18)144 cubic feet1cubic yard 27
cubic feet14427 5.33 cubic yards5.33 x 48
255.84
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The formula for the volume of a cylinder is V?
r2h.Find the weight of water in a cylindrical
tank with a radius of 6 feet if the tank is
filled to a depth of 12 ft. (One cubic foot of
water weighs 62.4 pounds.)
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V (3.14)(62)(12) 1356.48 cubic feetWeight
1356.48(62.4)84644.35 pounds
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What is the simple interest on a note for 2000
borrowed for 6 months at an annual rate of 8?
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I prtI (2000)(.08)(.5)(8 .08, 6 months
.5 years)I 80
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Find the height of a treetop if sighting through
a pipe attached to a 20 foot string gives an
angle ? of 60. The string is 5 feet above the
ground. H 20 (tan ?) h0
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H 20(tan 60) 5H 20(1.7321) 5H 34.6
5H 39.6
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Find the volume of a beach ball with a diameter
of 6 ft.
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Wallpaper comes in rolls that are 50 feet by 18
inches wide. How many rolls of wallpaper will it
take to cover 375 feet of wall space?
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Area covered by one roll is50 ft x 18 inches
50 ft x 1.5 feet 75 square feetArea to be
covered 375 ft.Number of rolls needed 375 /
75 5 rolls
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Thats all folks!