Inequalities Unit 8 Review

A yellow hot-air balloon is 120 feet off the ground and is rising at a rate of 8 feet per minute. An orange hot-air balloon is 160 feet off the ground and rising at a rate of 6 feet per minute. After how long will the yellow balloon be higher than the orange balloon?

Which inequality could be used to solve the problem above?

• 120 + 8x > 160 + 6x

• 120 + 8x < 160 + 6x

• 120x + 8 > 160x + 6

• 120x + 8 < 160x + 6

A yellow hot-air balloon is 120 feet off the ground and is rising at a rate of 8 feet per minute. An orange hot-air balloon is 160 feet off the ground and rising at a rate of 6 feet per minute. After how long will the yellow balloon be higher than the orange balloon?

• x > 20

• x < 20

• x < 40

• x > 40

A blue model rocket is launched from a platform that is 180 feet above the ground and is ascending at a rate of 12 feet per second. A green rocket is launched from a platform that is 240 feet above the ground and is ascending at a rate of 9 feet per second. After how long will the blue rocket be higher than the green rocket?

Which inequality could be used to solve the problem above?

• 180 + 12x > 240 + 9x

• 180 + 12x < 240 + 9x

• 180x +12 > 240x + 9

• 180x + 12 < 240x + 9

A blue model rocket is launched from a platform that is 180 feet above the ground and is ascending at a rate of 12 feet per second. A green rocket is launched from a platform that is 240 feet above the ground and is ascending at a rate of 9 feet per second. After how long will the blue rocket be higher than the green rocket?

• x > 20

• x < 20

• x > 60

• x < 60

A large water tank holds 140 gallons and is leaking at a rate of 10 gallons per hour. A smaller tank holds 112 gallons and is leaking at a rate of 8 gallons per hour. After how many hours will there be less water in the larger tank than in the smaller tank?

Which inequality could be used to solve the problem above?

• 140 - 10h < 112 - 8h

• 140 - 10h > 112 - 8h

• 10h + 140 < 8h + 112

• 10h + 140 > 8h + 112

A large water tank holds 140 gallons and is leaking at a rate of 10 gallons per hour. A smaller tank holds 112 gallons and is leaking at a rate of 8 gallons per hour. After how many hours will there be less water in the larger tank than in the smaller tank?

• h > 14

• h < 14

• h > 28

• h < 28

Rachel has $150 in her savings account and saves $40 a month. Andrea has only $100 in her savings account but saves at the rate of $50 a month. When will Andrea have saved more than Rachel?

Which inequality could be used to solve the problem above?

• $50m+100>40m+150$

• $50m+100<40m+150$

• $100m+50>150m+40$

• $100m+50<150m+40$

Rachel has $150 in her savings account and saves $40 a month. Andrea has only $100 in her savings account but saves at the rate of $50 a month. When will Andrea have saved more than Rachel?

• m > 5

• m < 5

• m > 50

• m < 50

Analyse has a Starbucks gift card with $50 on it and she uses it to buy a coffee for $3 every day. Diego has a McDonalds gift card with $60 and he uses it to buy breakfast for $5 every day. After how many days will the balance on Analyse’s card be greater than the balance on Diego’s?

Which inequality could be use to solve the problem above?

• $-3d+50>-5d+60$

• $-3d+50<-5d+60$

• $50+3d>60+5d$

• $50+3d<60+5d$

Analyse has a Starbucks gift card with $50 on it and she uses it to buy a coffee for $3 every day. Diego has a McDonalds gift card with $60 and he uses it to buy breakfast for $5 every day. After how many days will the balance on Analyse’s card be greater than the balance on Diego’s?

• d > 5

• d < 5

• d > 10

• d < 10