Download Examples. - algebra

Examples.
By: Bailey Garrison, Keaton Devening,
Christian Curtner, Kaylee Schnelten,
Lucas Gardner, Caleb Love, Noha Duam
Examples 2.1
• Absolute values, when a negative number is put
into brackets they automatically become positive.
• When the negative sign is outside the brackets
the number stays negative.
• |-32|= +32
• -|12|= -12
Examples.2.2
• Adding real numbers. To add two numbers
with the same sign, add their absolute values.
The sum has the same sign as the numbers
added.
• 8+7=15, -6+10=-16
• To add two numbers with different signs,
subtract the lesser absolute value from the
greater absolute value. The sum has the same
sign as the number with the greater value.
examples. 2.3
• Subtracting real numbers, to subtract a from
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b add the opposite of b to a.
A-b=a+(-b)
Now you plug in the numbers.
-12-19=-12+(19)
The answer is -31.
Examples. 2.4
• Multiplying real numbers.
• The product of two real numbers with the
same sign is positive. The product of two real
numbers with different signs is negative.
• 3(4)=12
• -6(-3)=18
• 2(-5)=-10
• -7(2)=-14
Examples 2.5
• Applying the distributive property.
• You need to know the terms, they are the
constant terms and like terms.
• Then you have to draw your arcs.
• 2(x-6)
• 2x-12
• You have to multiply each number by 2.
Examples 2.6
• Diving real numbers, to divide real numbers
you need to use the multiplicative inverse.
• The product of a nonzero number and a
multiplicative inverse is 1.
• A*1/4=1/4*a
• 8*1/8=1
• The eights cancel out.
Examples 2.7
• Finding square roots and comparing real
numbers.
• A square root is where you can have a number
times its self to give you another number.
• Like the square root of 36 is 6. because
6*6=36
• A perfect square is the square of an integer.
•
he temperature in your city at
6A.M. was -8°F and increased by 15°F
by noon. What was the temperature
an noon?
 Increase means to add (+)
 -8 + 15 = Noon Temperature
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FOOTBALL
In Four Plays a football team gains 3 yards, loses 7 yards, loses
2, and gains 15 yards. How many yards did the team gain
after four plays?
3-7-2+15=9
They gained 9 yards overall.
 You have a coupon for $2 off the regular cost per movie
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rental. You rent 3 movies, and the regular cost of each
rental is the same. Write an equation that gives the total
cost c ( in dollars)as a function of the regular cost R (in
dollars) of a rental. Then find the total cost if a rental
regularly cost $3.99.
Write a verbal mode. Then write an equation. Total cost =
Numbers of movie rented* (Regular cost of a rentalDiscount per movie)
C=3(r-2) or C=3r-6
Find the value of C when r = $3.99. C=3($3.99-2)
$11.97-6=$5.97 The total cost is $5.97
 You have a coupon for $2 off the regular cost per movie
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rental. You rent 3 movies, and the regular cost of each
rental is the same. Write an equation that gives the total
cost c ( in dollars)as a function of the regular cost R (in
dollars) of a rental. Then find the total cost if a rental
regularly cost $3.99.
Write a verbal mode. Then write an equation. Total cost =
Numbers of movie rented* (Regular cost of a rentalDiscount per movie)
C=3(r-2) or C=3r-6
Find the value of C when r = $3.99. C=3($3.99-2)
$11.97-6=$5.97 The total cost is $5.97
 A guitar tuner is a device that tunes a guitar string to its
exact pitch. Some tuners use the measure cents to indicate
how far above or below the
exact pitch, marked as 0 cents, the string tone is. Suppose
that one string tone measures -3.4 cents, and a second
string tone measures -3.8 cents. Which string tone is closer
to the exact pitch? Explain.
 -3.4 is the absolute value of -3.4 is less than absolute
value of -3.8, so it is closer to 0, the exact pitch.
 An investor purchases 50 shares of a stock at $3.50 per
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share. The next day, the change in value of a share of stock
is -$.25. What is the total value of the shares the next day?
Total value = original price per share * #’s of shares +
Change in price per share * #’s of share
Original price = ($3.50)(50) = $175
Change in price = (-$.25)(50)= -$12.50
Total value = (3.50)(50)+(-0.250(50)
= 175 + (-12.50)= 162.50
The total value is $162.50
A farm in Dallas Texas is 250,000 sq ft what is the farm on
one side
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