Inequality Homework 8th 9-26-16

The school band is selling pizzas for $7 each to raise money for new uniforms. The supplier charges $100 plus $4 per pizza.  Write an inequality that can be solved to find the number of pizzas the band members must sell to make a profit.

• -100+4x > 7x
• -7x > -100 -4x
• -7x > -100 + 4x
• 7x > -100 +4x

Solve the inequality.

• x < 6
• X > 6
• X < -6
• -x > 6

Ten less than five times a number is less than six times the number decreased by eight.

• x < 6
• x > 11/18
• X < 18/11
• X > 1 (7/11)

The sum of a number and twenty is greater than four times the number decreased by one.

• x > 7
• 7 > x
• X > -7
• X < 4

Bob’s Bagels offers pre-paid cards and has the specials shown. Carol has a $50 card she uses to buy coffee and a bagel each week. Diego has a $60 card he uses to buy tea and a breakfast sandwich each week. Write and solve an inequality to find the number of weeks in which the balance on Carol’s card will be greater than the balance on Diego’s card.
Coffee and Bagel = $3  
Tea and breakfast sandwich = $5

• 5 days
• 4 weeks
• 5 weeks
• 10 days

Meena sells apple pies at the farmer’s market. She charges $12 for each pie. It costs her $5 to make each pie, and there is a $35 fee she must pay each week to have a booth at the market. Write and solve an inequality to find the number of pies Meena must sell each week in order to make a profit.

• A lot of pies!!!
• 6 pies
• 12 pies
• 18 pies

Twice a number plus four is greater than two thirds of the number”.

• X < 12
• X > 0
• X < -3
• x > -3

Bamboo Plant A is 1.2 meters tall and growing at a crate of 0.45 meter per day. Bamboo Plant B is 0.85 meter tall and growing 0.5 meter per day. After how many days will Plant B be taller than Plant A?

• 5 days
• 7 weeks
• 24 hours
• 7 days

Rugs Emporium installs carpet for $80 plus $9.50 per square yard of carpet. Carpets-4-U charges $120 for installation and $7.50 per square yard of carpet. Write and solve an inequality to find the number of square yards of carpet for which Rugs Emporium charges more than Carpets-4-U.

• 10 square yards
• 20 square yards
• 100 square yards
• 5 square yards