Multi-Step Inequality Word Problem Practice

Which of the following are inequalities?

• $3x+32=2(3x-4)$

• $2x>4(5x+36)-3$

• $x\ +\ 2\ \le\ 3x\ -\ 2$
  

• $9(8x+2)=23$
  

As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100.

• $50x-3>100$
  

• $3x-100<50$
  

• $50\ +\ 3x\ \ge\ 100$

• $100\ -\ 50x\ >\ 3$

Which of the following phrases indicate that a  $\ge$  sign will be used?

• at least

• greater than or equal to

• at most

• less than

Jessica has some pencils. Jacobs has twice the number of pencils that Jessica has. If they have at least 6 pencils combined. Which inequality represents this scenario?

• 2x + 6 > 1

• x - 6(2x + 3)

• $x+2x\ge6$

• 6 > 2x -1