Transcript Solving Linear Equations, Inequalities, Absolute Values, and System

How many liters of a 40%
solutions must be mixed
with 60 liters of a 80%
solution to get a 70%
20 liters
solution?
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In a chemistry class, 3
liters of a 4% silver iodide
solution must be mixed
with a 10% solution to get a
6% solution. How many
liters of the 10% solution
1.5 liters
are needed?
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Decide whether (-2, 1) is a
solution to the system:
4x + y = -9
3x + 4y = -10
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No
Decide whether (-4, 2) is a
solution to the system:
2x + y = -9
3x + 2y = -8
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No
Decide whether (-6, 1) is a
solution to the system:
x + y = -5
x - y = -7
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Yes
Solve for b.
b = 2A/h
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Solve for b1.
b1 = 2A/h − b2
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Solve for s3.
S3 = P − s1 − s2
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Walt made an extra $9000 last
year from a part-time job. He
invested part of the money at
8% and the rest at 7%. He
made a total of $680 in
interest. How much was
$4000
invested at 7%?
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Solve the system.
(6, −4)
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Solve the system.
−x – 3y = −23
6x + 3y = 33
(2, 7)
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Solve the system
7x – 7y = 91
2x + 3y = −9.
(6, −7)
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Solve the system.
(4/5, 1/7)
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Solve the system.
5x + 3y = 80
2x + y = 30
(10, 10)
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Solve the inequality.
|z+1|>0
[−1, ∞)
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Solve the inequality.
|r+4|>4
(− ∞, −8)  (0, ∞)
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Solve for x:
|x|>8
(− ∞, −8)  (8, ∞)
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Solve for x:
| 7 – x | < 13
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[−6, 20]
Is the following an expression
or an equation?
X=15
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Is the following an
equation or an
expression?
(y – 6) – (y – 3) = 7
Equation
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Is the following an expression
or an equation?
Expression
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Is the following an
expression or an
equation?
5(y + 6) + 6(y – 3)
Expression
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After receiving a discount
of 15.5% on its bulk order
of printer toner, Best Office
Supply pays $2197. What
was the price of the order
before the discount? $2600
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An investor bought 100
shares of stock. The value of
the shares went up 7% and
then he sold them. How much
did the investor pay for the
100 shares if he sold them for
$1200
$1284?
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If 6 times a number is
added to −4, the result is
equal to 10 times the
number. What is the
number?
The number is −1
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Solve the system.
4x − 8y = 24
x = 2y + 6
This is an dependent system. There are
an infinite number of solutions.
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