Inequality & Compound Inequality - 3rd Summative Test

6. Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell? 

• x/5.50 ≥ 5225
• 5.50x ≥ 5225
• x + 5.50 ≤ 5225 
• x - 5.50 ≤ 5225

Tags

CCSS.6.EE.B.8

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding? 

• 30 + s ≥ 45
• 30 - s ≥ 45
• 30 + s ≤ 45
• 30 - s ≤ 45

Write an inequality:
Twenty-two more than four times a number is less than 82.

• 22 + 4n ≤ 82
• 22 + 4n > 82
• 82 + 22n ≥ 4
• 22 + 4n < 82

Tags

CCSS.7.EE.B.4B

Which situation can be modeled by the inequality 50 + 10x < 60 + 8x ?

• Linda opens a savings account with $50 and then deposits $10 in the account every week. Henry opens a savings account with $60 and then deposits $8 in the account every week. For how many weeks are Linda's savings less than Henry's?

• Sammy buys a rug for $50 and spends $10 on cleaning it at the dry cleaning store every month. Cathy buys a rug for $60 and spends $8 on cleaning it at the dry cleaning store every month. For how many months are Sammy's expenses on the rug higher than Cathy's?

• Bridal Bouquet Service A charges $50 for the bride's bouquet and $10 for each bridesmaid's bouquet. Bridal Bouquet B charges $60 for the bride's bouquet and $8 for each bridesmaid's bouquet. For what number of bridesmaids' bouquets is Bridal Bouquet Service A more expensive?

• Chris pays $50 per week to park his car and tips the parking attendant an extra $8 every Saturday. Eli pays $60 per week to park and tips the attendant an extra $10 every Saturday. For how many weeks does Chris pay more than Eli?

Tags

CCSS.7.EE.B.4B

Which situation can be modeled by the inequality 10x + 75 > 6.50x + 120 ?

• Membership at Gym A costs $120 down plus $6.50 per month. Gym B charges $10 down plus $75 per month. After how many months will Gym A cost less in total than Gym B?

• Talia has $75.00. Her brother Caleb has $120. Talia saves $10 per week. Her brother saves $6.50 per week. For how many weeks will Talia have more money than Caleb?

• Talia has $75.00. Her brother Caleb has $120. Talia saves $10 per week. Her brother saves $6.50 per week. For how many weeks will Talia have less money than Caleb?

• Membership at Gym A costs $120 down plus $6.50 per month. Gym B charges $10 down plus $75 per month. After how many months will Gym B cost less in total than Gym A?

Tags

CCSS.7.EE.B.4B

Tyrod needs at least $820 to buy a new computer. He has already saved $330. He earns $50 per lawn that he cuts.

What is the least number of lawns he can cut and still buy the computer?

• 9

• 15

• 4

• 10

Beth is going to the State Fair which costs $10 to get in. Each ride costs $5.50. If she has $45 to spend at the Fair, what is the greatest number of rides she can ride?

• 12

• 7

• 6

• 3

Tags

CCSS.7.EE.B.4B

Shannon is planning her daughter's 11th birthday party at the bowling alley. She has $150 to reserve the bowling lanes and provide lunch for the kids.

* Lanes cost $95 total for 2 hours

* Lunch costs $5.25 per child

What is the maximum number of children, including her daughter, that can attend the birthday party.

• 11

• 6

• 10

• 9

What inequality is graphed?

• 2 < x ≤ -3

• 2 < x < -3

• x > 2 or x ≤ -3

• x > 2 or x < -3

Select the correct inequality for the graph.

• -1 ≤ x < 6

• 1 ≤ x < 6

• 1 < x ≤ 6

• x ≤ 1 or x > 6