Solutions to Inequalities in One Variable

 $\frac{7x+6}{2}\le3x+2$  
Select all of the values that are a solution to the inequality.

• x=-3

• x=-2
  

• x=-1

• x=0
  

• x=1

Tags

CCSS.6.EE.B.5

 $2x-3>\frac{2x-5}{2}$  
Find the solution set to this inequality

• x $<\frac{1}{2}$  

• x $>\frac{1}{2}$  

• x $\le\frac{1}{2}$  

• x $\ge\frac{1}{2}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 $\frac{-10+x}{4}+5\ge\frac{7x-5}{3}$  What value of x will produce equality (or make the two sides equal)?

• x=3

• x=1

• x=2

• x=0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

  Which graph represents the solution to:
 $5+8x<3\left(2x+4\right)$  

• 
• 
• 
• 

Tags

CCSS.7.EE.B.4B

The principal of a school is hosting a small luncheon for her staff. She plans to prepare two sandwiches for each person. Some staff members offer to bring salads and beverages. The principal has a budget of $225 and expects at least 16 people to attend. Sandwiches cost $3 each.

Select all of the equations and inequalities that could represent the constraints in the situation, where n is number of people attending and is number s of sandwiches.

• n $\ge$ 16

• s=2n

• 3s $\le$ 225

• n $\ge$ 32

• s $<$ 2n

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Solve:  $2x<10$ 

• x=5

• x=2

•  $x<5$  

•  $x\le2$  

Tags

CCSS.6.EE.B.8

A cell phone company offers two texting plans. People who use plan A pay 10 cents for each text sent or received. People who use plan B pay 12 dollars per month, and then pay an additional 2 cents for each text sent or received.

Select the correct inequality to represent the fact that it is cheaper for someone to use plan A than plan B.

• $0.1x<12+0.02x$

• $.01x<12+0.2x$

• $0.1x+12<0.02x$

• $0.1x\le12+0.02x$

Tags

CCSS.7.EE.B.4B

Diego’s goal is to walk more than 70,000 steps this week. The mean number of steps that Diego walked during the first 4 days of this week is 8,019.

Write an inequality that expresses the mean number of steps that Diego needs to walk during the last 3 days of this week to walk more than 70,000 steps.

• $3s\cdot8019+4>70,\ 000;\ where\ s\ is\ the\ number\ of\ steps\ Diego\ walked.$

• $4\cdot3s+8019>70,\ 000;\ where\ is\ the\ mean\ number\ of\ steps\ that\ Diego\ walked.$

• $4\cdot8019+3s>70,\ 000;\ where\ s\ is\ the\ mean\ number\ of\ steps\ that\ Diego\ walked.$

• $4\cdot8019+3s>70,\ 000;\ where\ s\ is\ the\ number\ if\ steps\ Diego\ walked.\$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

• She should have divided by 20.

• Her answer should be positive 5.

• She forgot to flip her inequality sign.

• She did it correctly.

Tags

CCSS.6.EE.B.8

• Lin can substitute numbers greater than 1 to see if they work.

• Lin can substitute numbers less than 1 to see if they work.

• Lin can substitute numbers greater than and less than 1 to see if which ones work.

• Lin could guess.

Tags

CCSS.7.EE.B.4B