Sign Flip Showdown Worksheet
Algebra 1 Multi-Step Inequalities
Sign Flip Showdown
Name:
Date: Period:
The Inequality Golden Rule: Reverse (flip) the inequality symbol only when you multiply or divide both sides by a negative number!
\( < \longleftrightarrow > \) Â |Â \( \le \longleftrightarrow \ge \)
1 Multi-Step Inequality A
\( 4(2x - 3) + 7 \le 3x + 10 \)
Show Complete Algebraic Steps: Distribute • Combine • Isolate
Final Solution:
x  [      ]  [      ]
Did you flip the inequality sign?
Yes No
Why?
Graph the Solution: Circle: Open / Solid?
-2 -1 0 1 2 3 4 5 6
Check with Test Point: Let \( x = \) ___
2 Multi-Step Inequality B
\( -3(2x - 1) + 8 > 4x + 31 \)
Show Complete Algebraic Steps: Distribute • Combine • Isolate
Final Solution:
x  [      ]  [      ]
Did you flip the inequality sign?
Yes No
Why?
Graph the Solution: Circle: Open / Solid?
-6 -5 -4 -3 -2 -1 0 1 2
Check with Test Point: Let \( x = \) ___
