HONORS inequality word problems

Solve: -2x ≤ 14

• x ≤ 7
• x ≤ -7
• x ≥ 7
• x ≥ -7

You flip an inequality symbol when you...

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

Solve

 $3a+2>-28$  

•  $a>10$  

•  $a>-10$  

•  $a<-10$  

•  $a>-30$  

Match each statement with the correct graph.

• y < 6

• 
• y ≥ 6

• 
• y ≤ 6

• 
• y > 6

• 

Solve

 $3a+2>-28$  

•  $a>10$  

•  $a>-10$  

•  $a<-10$  

•  $a>-30$  

Jason got a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Jason hopes to make at least $68 this week to buy a new pair of soccer cleats. How many magazine subscriptions does Jason need to sell?

• 25 + 3x > 68

• 25 + 3x < 68

• 25 + 3x ≥ 68

• 25 + 3x ≤ 68

-4x + 14 ≤ 54

• x ≥ -10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Let's kick it up another notch. Use what you know about distributing, combining like terms and solving two-step inequalities when solving for x.

7(x + 3) - 5x < 13

• x>-4

• x < 17

• x<-4

• x > -17

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Sai gets 5 points for each answer and has already earned 10 points of extra credit. She needs at least 77 points to pass. How many questions does Sai need to answer to pass?

• 5x + 10 < 77

• 5x + 10 > 77

• 5x + 10 ≤ 77

• 5x + 10 ≥ 77

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly

pay of at least $550?

Write the inequality to the problem.

• 0.04x+300 ≥ 550

• 0.04x+300≤ 550

• 4x+300 ≥ 550

• 4x+300 ≤ 550