Writing and Solving Inequalities

Solve:
 $8m-9>71$  

•  $m>10$  

•  $m>1$  

•  $m<1$  

•  $m>-48$  

•  $m>-10$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 $2x+3\le15$  

•  $x\le6$  

•  $x\ge-6$  

•  $x\le9$  

•  $x\le-9$ 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Select the inequality that is represented by the graph.

• A

• B

• C

• D

Tags

CCSS.HSA.REI.D.12

Choose the graph that represents the inequality.
 $6>x$  

• A

• B

• C

• D

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Which inequality does the number line graph represent?

Hint: You may want to solve the inequalities!

•  $x+4\le-1$  

•  $2x-3<7$  

•  $x-1\le4$  

•   $2x+3>13$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the inequality.
 $-2x+5>15$  

•  $x>-5$  

•  $x<-5$  

•  $x=5$  

•  $x\ge5$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

"At most" and "No more than" are both clue words for...

• $<$

• $>$

• $\le$

• $\le$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

• $50+3.5x<71$

• $71-3.5x<50$

• $71-3.5x\le50$

• $71+3.5x<50$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• $10x+1.50\ge40$

• $1.50x+10\le40$

• $1.50x+10<40$

• $10x+1.50<40$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• $200+25x\ge500$

• $500+25x\ge200$

• $500-25x\ge200$

• $500-25x\le200$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1