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Warm UpWarm Up
Which of the following is a solution to theinequality 5x + 3 > 38?
a. 5 b. 6 c. 7 d. 8
There are 40 students and 12 teachers driving to
6 Flags. Each car holds 5 people. What’s the least
amount of cars needed?a. 9 b. 10 c. 11 d. 12
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Antara has $500 in a savings account at Antara has $500 in a savings account at the the
beginning of the summer. She wants tobeginning of the summer. She wants tohave at least $200 in the account by thehave at least $200 in the account by theend of the summer. She withdraws $25end of the summer. She withdraws $25each week for food, clothes, and movieeach week for food, clothes, and movietickets.tickets.
Write an inequality.Write an inequality.
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Antara hasAntara has $500 $500 in a savings account at in a savings account at the the
beginning of the summer. She wants tobeginning of the summer. She wants tohave have at least at least $200 $200 in the account by thein the account by theend of the summer. She end of the summer. She withdrawswithdraws $25$25each week each week for food, clothes, and moviefor food, clothes, and movietickets.tickets.
Start withStart with: _______: _______
OperationOperation: ______: ______
UnknownUnknown: ______ Inequality: ______ Inequality
InequalityInequality: ______: ______
End withEnd with: ______: ______
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Solve, then graph.Solve, then graph.
500 – 25x ≥ 200500 – 25x ≥ 200
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Keisha charges a $1.75 flat rate to braidKeisha charges a $1.75 flat rate to braid
hair in addition to $0.65 per braid. hair in addition to $0.65 per braid. LanoriaLanoria
has no more than $10 to spend. How has no more than $10 to spend. How manymany
braids can she get?braids can she get?
Write an inequality. Write an inequality.
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Keisha charges a Keisha charges a $1.75 $1.75 flat rate to braidflat rate to braidhair hair in addition in addition to to $0.65 per braid$0.65 per braid. .
LanoriaLanoriahas has no more than no more than $10 $10 to spend. How to spend. How
manymanybraids can she get?braids can she get?
Start withStart with: _______: _______
OperationOperation: ______: ______
UnknownUnknown: ______ Inequality: ______ Inequality
InequalityInequality: ______: ______
End withEnd with: ______: ______
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Solve, then graph.Solve, then graph.
1.75 + .65x ≤101.75 + .65x ≤10
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Jessica wants to order some dvds fromJessica wants to order some dvds from
Amazon. Each dvd costs $15.99 andAmazon. Each dvd costs $15.99 and
shipping for the entire order is $9.99.shipping for the entire order is $9.99.
Jessica can spend no more than $100.Jessica can spend no more than $100.
Write an inequality. Write an inequality.
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Jessica wants to order some dvds Jessica wants to order some dvds fromfrom
Amazon. Each dvd costs $15.99 andAmazon. Each dvd costs $15.99 andshipping for the entire order is $9.99.shipping for the entire order is $9.99.Jessica can spend no more than $100.Jessica can spend no more than $100.
Start withStart with: _______: _______
OperationOperation: ______: ______
UnknownUnknown: ______ Inequality: ______ Inequality
InequalityInequality: ______: ______
End withEnd with: ______: ______
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Solve, then graph.Solve, then graph.
15.99x + 9.99 ≤ 10015.99x + 9.99 ≤ 100
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The bowling alley charges a flat rate of The bowling alley charges a flat rate of $50$50
for a birthday party plus $5.50 for eachfor a birthday party plus $5.50 for each
person. Destiny can’t spend more thanperson. Destiny can’t spend more than
$100. $100.
Write an inequality.Write an inequality.
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The bowling alley charges a flat rate of The bowling alley charges a flat rate of $50$50
for a birthday party plus $5.50 for eachfor a birthday party plus $5.50 for eachperson. Destiny can’t spend more thanperson. Destiny can’t spend more than$100. $100.
Start withStart with: _______: _______
OperationOperation: ______: ______
UnknownUnknown: ______ Inequality: ______ Inequality
InequalityInequality: ______: ______
End withEnd with: ______: ______
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Solve, then graph.Solve, then graph.
50 + 5.50x ≤ 10050 + 5.50x ≤ 100
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ClosingClosing
In a word problem, how do you know which
number has a variable attached and which
one stands alone?