Inequalities Unit 3-Algebra

5 > 12a - (3 - 4a)

• 1/2 > a
• 1/2 ≥ a
• a > 0.5
• 2 > a

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

w - 3  <   (2w + 1) <  w + 6

• 4 ≤ w < 5
• -4 ≤ w < 5
• -2 ≤ w < 5
• -2 ≤ w < 7

 -2≤ (n + 2)/ 3 ≤ 4

• 8 ≤ n ≤ 10
• -8 ≤ n ≤ -10
• -8 ≤ n ≤ 10
• -8/3 ≤ n ≤ 10/3

|x| - 7 < -4

• No solution
• x ≤ 3 or x ≥ 3
• x ≤ -3 and x ≤ 3
• -3 ≤ x ≤ 3

1/3 |x + 2| ≤ 1

• -5 ≤ x ≤2
• x ≤ 2 and x ≥ 2
• x ≤ 2 and x ≤ -2
• x ≤ 2 or x ≥ -5 

A family decides to rent a boat for the day while on vacation.  The boat’s rental fee is $500 for the first two hours and $50 for each additional half hour.  Suppose the family can spend $700 for the boat.  Write an inequality   that represents the number of half hours for which they can rent the boat?

• x ≤ 2
• x ≤ 8
• x ≤ 4
• x < 2

A family decides to rent a boat for the day while on vacation.  The boat’s rental fee is $500 for the first two hours and $50 for each additional half hour.  Suppose the family can spend $700 for the boat.  Write an inequality   that represents the number of  hours for which they can rent the boat?

• x ≤ 2
• x ≤ 8
• x ≤ 4
• x < 2

.  Operation Snowball has decided to sell bags of popcorn at the Back to School Night for $1.50 each.  Snowball spent   $12 on gas to get to the store to buy the popcorn and it costs $0.55 to package each bag of popcorn. Write and solve   and inequality to determine how many bags of popcorn Snowball will need to sell to make a profit?  Be sure to give   an appropriate answer.

• 12.63 bags 
• 11 bags 
• 12 bags
• 13 bags

To earn a B in your Algebra course, you must achieve an unrounded average between 84 and 86 inclusive.  You   scored 86, 85, and 80 on the first three tests of the grading period.  Write and solve a compound inequality to   determine the possible scores can you earn on the fourth and final test to earn a B in the course?

• 85 ≤ x ≤ 9
• 85 ≤ x ≤ 93
• 85 ≤ x ≤ 93
• 84 ≤ x ≤ 90

A company makes boxes of crackers that should weigh 213 g.  A quality control inspector randomly selects boxes to    weigh.  Any box that varies from the weight more than 5g is sent back.  Write an absolute-value   inequality to find the range of allowable weights for a box of crackers. 

• | x- 5 | ≤ 213
• | x- 213 | ≤ 5
• | 213 - x | ≤ 5
• | 5 - x | ≤ 213