This document contains 24 multi-step inequality word problems. The student is asked to solve each inequality and graph its solution set on a number line. Some examples include solving 3 < -5n + 2n to find that n < -1, solving -p - 4p > -10 to find that p < 2, and solving -3 - 6(4x + 6) > -111 to find that x < 3.

1. 

Infinite Algebra 1 Name___________________________________
Multi-Step Inequalities Date________________ Period____
Solve each inequality and graph its solution.
1) nn 2)  x x
                     
3)  p p 4) kk
                     
5) m 6) ( x)
                     
7) (n) 8) (b)
                
9) (r) 10) (r)
                     
11)  x x x x 12)  x x
                     
©f 12i0X1J2S zK9uOtiax rS7omfitewSavr8eW OLSLsCN.c 0 UAXljlz aroi1g6hjtEs3 Zrueas3eyr6voeDd7.l Z dMFavdEeh UwfiktThO uI8n1fViOnwiftbed qAZl9gaeJb5r1a9 D18.8 -1- Worksheet by Kuta Software LLC

2. 

13) aa 14) vv
               
15) nnnn 16)  x x( x)
                     
17) n(n)n 18) ( p) p p
                     
19) k(k) 20)  x( x)
                     
21) (k)(k) 22) ( x)( x)
                     
23) ( x) x 24) (n)(n)
                     
©8 s2k0q1R2G xKYu8twar eSLo9fVtww7abrBeS nLbL1CA.w P eA1llli creiQgGhdtYsd 4rYe3sfeBrcvqecdB.K b eMXaRdueX bwUi3tnhu MI7n1fZiLnKi7tjeo MANlkgMeIb8r1a0 m1Z.Y -2- Worksheet by Kuta Software LLC

3. 

Infinite Algebra 1 Name___________________________________
Multi-Step Inequalities Date________________ Period____
Solve each inequality and graph its solution.
1) nn 2)  x x
                     
n x
3)  p p 4) kk
                     
p k
5) m 6) ( x)
                     
m x
7) (n) 8) (b)
                
n b
9) (r) 10) (r)
                     
r r
11)  x x x x 12)  x x
                     
x x
©5 e2h0D1l28 fKCuftmaw uSaocfLt8w5avrxee vL5L2CM.v X jAMlPlj yrdiRgwhPt7sZ GrMews1eMrdvFeqdR.O B gMSabdoeL mw1ietuhl iI8nJfhi2n4imtUeo WAglKghenburCaa 515.1 -1- Worksheet by Kuta Software LLC

4. 

13) aa 14) vv
               
a v
15) nnnn 16)  x x( x)
                     
n x
17) n(n)n 18) ( p) p p
                     
n p
19) k(k) 20)  x( x)
                     
k x
21) (k)(k) 22) ( x)( x)
                     
No solution. { All real numbers. }
23) ( x) x 24) (n)(n)
                     
No solution. { All real numbers. }
Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com
©7 72b0f122n sKTu6tNar qStoRfjtZwcaerEeN vLMLhCf.b w JAclwlT krNiSghhDtts4 YrqeKsOe1rQvheKdZ.M 1 BMha6dye3 twGiltAh9 eIlnofkiqnCiVtFeE tAcl6g8eFbSrkay 21s.7 -2- Worksheet by Kuta Software LLC