Practical Inequalities Quiz

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

• X < 5
• X > 5
• X ≥ 5
• X ≤ 5

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Nasir bought a piece of wood with a length less than 5 feet. The variable w represents the length. The inequality describes the length of the piece of wood. Which number(s) could be a length of the piece of wood?

• 4.75

• 5

• 10

• 2

Mona is ordering cups for her school.  Company A charges $3.50 for each cup and a one-time starter fee of $14.  Company B charges $0.50 for each trophy and a one-time starter fee of $22.  
Which inequality can be used to find x, the minimum number of cups that can be ordereed so that the total charge at Company A is less than the total charge at Company B?

• 3.5x + 14 < 0.5x + 22
• 3.5x + 14 > 0.5x + 22
• 3.5 + 14x < 0.5 + 22x
• 3.5 + 14x > 0.5 + 22x

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100
• 5x - 100 ≥ 10
• 10x + 5 ≤ 100
• 5x + 10 > 100

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

• 10.25h < 550; less than 54 hours
• 10.25h > 550; greater than 54 hours
• 10.25h ≤ 550; at most 54 hours
• 10.25h ≥ 550; at least 54 hours

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

A parking garage charges $4.50 for each hour you park.  You have $18 in your pocket.  How many hours can you park?

• x > 4
• x < 4
• x ≤ 4
• x ≥ 4

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.8

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. SOLVE for minimum number of hours Joan will need to babysit?

• x ≥ 18

• x ≥ 22

• x ≤ 9.5

• x > 18

What inequality symbol goes with is at least?

• <

• >

• ≤

• ≥