One-Step Inequalities: Multiplication and Division

Common Core Grade Level: 
Packet includes: 
30 practice problems and an answer key.

This packet helps students practice how to solve one-step inequalities with multiplication and division.   These problems follow the same rules as solving other multi-step equations but contain one tricky rule: when you multiple or divide an inequality by a negataive number, you need to flip your inequality sign (so, less than becomes greater than and vice versa).  This process takes some practice!

Each question asks the student to solve the inequality and to graph the solution on a number line.  We ask students to graph both because math classes and standardized tests often ask students to graph these solution sets, but also so that students can begin to visualize what the solution set to an inequality looks like (and to help them learn graphing conventions).

Each page starts with easier problems that get more difficult as students work through the packet. After doing all 30 problems, students should be more comfortable doing these problems and have a clear understanding of how to solve them. 

Sample Problem(s): 

Solve for x.  

Simple: $2x< 10$  

Advanced: $x÷-24 ≥-12$ 


Practice problems require knowledge of how to multiply and divide integers.

Video lesson(s) showing you how to do this type of problem: 
Downloadable File(s): 
Inequalities- Multiplication and Division.pdf
Inequalities- Multiplication and Division - AK.pdf