Two-step inequalities

Difficulty Stretch · Set agx91t

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1
Solve:9x+4<346x <
2
Solve:3x+18<30x <
3
Solve:2x+34<54x <
4
Solve:4x+22<50x <
5
Solve:2x+34<66x <
6
Solve:7x+10<73x <
7
Solve:6x+17<257x <
8
Solve:4x+16<24x <
9
Solve:8x+27<83x <
10
Solve:9x+2<290x <
11
Solve:5x+29<74x <
12
Solve:8x+19<283x <
13
Solve:4x+35<167x <
14
Solve:3x+36<111x <
15
Solve:8x+22<318x <
16
Solve:9x+25<160x <
17
Solve:5x+38<83x <
18
Solve:2x+40<68x <
19
Solve:5x+18<178x <
20
Solve:9x+23<41x <

What is in this set

The numbers in this set run from 2 to 387.
Every problem in it will take two steps.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 100% of the problems: the 8 in front of the x was never divided out.
Answers are a whole number.

Drawing 240 problems from this page produced 236 different ones, 98% — so a sheet of 20 is a new sheet almost every time.

The same skill, harder or easier

We would put this in front of a grade 8 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.