FA 8-2: Two-Step Inequalities Word Problems

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Solve for t.

6t + 4 ≤ -2

• t ≤ -1 
• t ≤ 1
• t=1
• 1=t

Tags

CCSS.7.EE.B.4B

Solve for u. 
u/7 – 1 ≤ 1

• 14≥u
• 14≤u
• u≤14
• u ≤ -14

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Tags

CCSS.HSA.REI.B.3

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >

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CCSS.HSA.REI.D.12

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.HSA.CED.A.1

CCSS.HSA.CED.A.3

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

• 20x + 120 ≥ 3
• x/3 + 20 ≤ 120
• 3x + 20 ≤ 120
• 3x + 20 ≥ 120

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600
• 125x + 55 ≥ 600
• 125x + 55 > 600
• 125x + 55 < 600

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve and graph the inequality.
77 ≤ 5 + 8n

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve and graph the inequality.
3 + 9k > 111

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3