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

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.

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: ______: ______

Solve, then graph.Solve, then graph.

500 – 25x ≥ 200500 – 25x ≥ 200

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.

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: ______: ______

Solve, then graph.Solve, then graph.

1.75 + .65x ≤101.75 + .65x ≤10

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.

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: ______: ______

Solve, then graph.Solve, then graph.

15.99x + 9.99 ≤ 10015.99x + 9.99 ≤ 100

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.

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: ______: ______

Solve, then graph.Solve, then graph.

50 + 5.50x ≤ 10050 + 5.50x ≤ 100

ClosingClosing

In a word problem, how do you know which

number has a variable attached and which

one stands alone?