Solving Inequalities

Sam is saving up to buy a new computer. He already has $50 and then starts mowing lawns at $20 per lawn. He wants to earn at least $210. Which equation/inequality would model this situation?

•  $50x+20\le210$ 

•  $50+20x=210$ 

•  $50+20x\le210$ 

•  $50+20x\ge210$ 
  

Tags

CCSS.7.EE.B.4B

Sam is saving up to buy a new computer. He already has $50 and then starts mowing lawns at $20 per lawn. He wants to earn at least $210. Which of the following would earn Sam enough money (select all that apply)?

• Mowing 7 lawns

• Mowing 8 lawns

• Mowing 9 lawns

• Mowing 10 lawns

Tags

CCSS.7.EE.B.4B

Maria is starting a new job where she earns $10 per hour. Because she wants to save some time for studying and socializing, she tells her boss she can work no more than 20 hours each week. Which inequality would model the number of hours Maria can work?

•  $x\le20$  

•  $10x<20$  

•  $x>20$  

•  $10x\ge20$  

Tags

CCSS.6.EE.B.8

Nick collects rare coins. He has an initial collection of 20 coins and adds two coins every month. He wants to collect at least 80 coins. Which inequality could model this scenario?

• $20+2x\ge80$

• $20+2x>80$

• $20+2x\le80$

• $20+2x<80$

Tags

CCSS.7.EE.B.4B

Which inequality is graphed on the given coordinate plane?

• y > x + 1

• y < x + 1

• y ≥ -x + 1

• y ≤ -x + 1

Which inequality is graphed on the given coordinate plane?

•  y  < 2x +2
• y > ¹/₂x - 2
•  y ≥ - 2x +2
•  y ≥ 2x - 2

Tags

CCSS.HSA.REI.D.12

This graph represents the inequality  y < 3, TRUE or FALSE?

• TRUE
• FALSE

Tags

CCSS.HSA.REI.D.12

The given graph represents the inequality  x < -1, TRUE or FALSE?

• TRUE
• FALSE

Tags

CCSS.HSA.REI.D.12

Which inequality is graphed on the given coordinate plane?

• y < x + 2
• y > x + 2
• y ≤ x + 2

Tags

CCSS.HSA.REI.D.12

Rewrite this inequality in "y=" form to graph. 
3x - 6y > 12

• y > ¹/₂x - 2
• y < -¹/₂x + 2
• y < ¹/₂x - 2
• y > -3x - 2

Tags

CCSS.HSA.REI.D.12