7th 5-6 Solve 2-Step Inequalities

Solve the inequality.

3+4x > 27

• $x>6$

• $x<6$

• $x>7.5$

• $x<7.5$

Solve the inequality.
-3.5+4t ≤ 39.5

•  $t\ge10.75$  

•  $t\le10.75$  

•  $t\le9$  

•  $t\ge9$  

Solve the inequality.

12−3y < 27

• $y<-5$

• $y>-5$

• $y<5$

• $y>5$

Tags

CCSS.7.EE.B.4B

Solve the inequality.

 $8-\frac{1}{4}n\ge20$  

•  $n\le-48$  

•  $n\ge-48$  

•  $n\le-3$  

•  $n\ge-3$  

Solve the inequality.

 $-3x-24>-36$  

•  $x<4$  

•  $x>4$  

•  $x<-4$  

•  $x>-4$  

Solve the inequality.

 $9x\ -4>95$  

•  $x<10.11$  

•  $x>10.11$  

•  $x>11$  

•  $x<11$  

Solve the inequality.

 $-4x-6\ge18$  

•  $x\le-3$  

•  $x\ge-3$  

•  $x\ge-6$  

•  $x\le-6$  

Amelia can spend no more than​ $89 to rent a car for a day trip. A rental car costs​ $35 per day plus​ $0.20 per mile. Write an inequality to find the possible distance in miles m that Amelia can drive without exceeding her budget.

• $89\le35+0.20m$

• $89\ge35+0.20m$

• $89>35+0.20m$

• $89<35+0.20m$

The inequalities 15x+7 ≤ 11 and −15x−7 ≥ −11 share the same solutions. How you can tell before performing the calculations that the inequalities have the same​ solutions?

• All the signs of the terms are the same, and the direction of the inequality is the same.

• All the signs of the terms are the same, and the direction of the inequality is the same.

• All the signs of the terms are opposites, and the direction of the inequality is the same.

• All the signs of the terms are opposites, and the direction of the inequality is switched.

Write and solve the inequality.

6 times a number plus 22 is greater than 7.

• $6n+22\le7$

• $6n+22\ge7$

• $6n+22>7$

• $6n+22<7$