Alg 1-6 Solving Mult-Step Inequalities (A.5b)

Alg 1-6 Solving Mult-Step Inequalities (A.5b)

Objective: I can solve inequalities with variables on both sides using the distributive property.

Lesson Video and Example 1

Solve:

 $4x\ +26\ -\ 2x\ +\ 11\ >49$  

Multiple Choice

Solve:  $4.5k\ +\ 18\ -24.1-1.3k\ge14.7$  

•  $k\ \le6.5$  

•  $k<6.5$  

•  $k\ \ge6.5$  

Example 2

Solve:

 $-2\left(3x\ +\ 15\right)\le42$  

Multiple Choice

 $\frac{3}{4}\left(-x\ +\ 12\right)<18$  

Solve:

•  $x>-12$  

•  $x<-12$  

•  $x>12$  

Example 3

Solve:

 $24-7.2\left(-4x+3\right)\le-26.4$  

Multiple Choice

 $-\left(x+9\right)+24>17$  

Solve:

•  $x>-2$  

•  $x>2$  

•  $x<-2$  

Multiple Choice

 $\frac{1}{2}m\ +\ 2\left(m-3\right)\le13$  

Solve:

•  $m\le7.6$  

•  $m\ge7.6$  

•  $m<7.6$  

Multiple Choice

 $s+4-7s-9\ge31$  

Solve:

•  $s\ge-6$  

•  $s\le-6$  

•  $s<-6$  

Open Ended

 $16>11-2\left(x-4\right)$  

On this page write, using transition words and complete sentences, the steps you need to use to solve this inequality.

Poll

How do you feel about your ability to solve an inequality?

• I am awesome at this! (I can help others)

• I am getting better at it.

• Still insecure, but I think if I have the steps written out I could do it.

• I need some one on one time with a tutor!