InequalitiesTo 50
Name: Date:
Solve each one, then write >, <, ≥ or ≤ in the box.
14x + 2 ≥ 34x8
25x + 12 ≥ 2x−2
3−6x + 12 < 0x2
43x + 12 > −33x−15
5−4x + 8 ≤ −4x3
62x + 7 ≥ −41x−24
7−5x + 9 > 19x−2
8−8x + 8 < −32x5
Two-step inequalities worksheets
A two-step inequality is undone in two moves, in reverse order — and if either move divides by a negative, the sign flips. These free printable worksheets practice both steps together.
If they get stuck
Two-step inequalities
The answer key prints on a separate page.
What's on this sheet
2x + 3 ≤ 11 comes apart the way its equation does: subtract the 3, then divide by the 2, giving x ≤ 4. The order matters — the adding is undone first, the multiplying second — and it is the same reverse order the two-step equation page teaches, now with a direction to keep track of as well.
Why this sheet works
When the division step uses a negative, the sign turns over, so these sheets carry both kinds and the answer always names the direction. A right number with a wrong sign is marked wrong, which is what makes the flip stick. This is the step up from the one-step inequality pages — the number line at the end is the same, but there are two operations to unwind before it can be drawn.
How this one works
One question from a sheet like this one, worked a step at a time — with a sentence saying what just happened and why.
Two-step inequalities, step by step