Two-step inequalities

Difficulty Standard · Set 76g1eh

Fill in what you can and press Check. Nothing you type is sent anywhere.

1
Solve:2x+2<28x <
2
Solve:3x+7<13x <
3
Solve:2x+8<18x <
4
Solve:7x+7<35x <
5
Solve:5x+2<52x <
6
Solve:4x+4<16x <
7
Solve:6x+15<27x <
8
Solve:9x+8<89x <
9
Solve:9x+11<110x <
10
Solve:6x+10<52x <
11
Solve:8x+8<40x <
12
Solve:7x+12<82x <
13
Solve:2x+4<30x <
14
Solve:5x+15<55x <
15
Solve:5x+3<63x <
16
Solve:6x+8<32x <
17
Solve:4x+15<43x <
18
Solve:6x+15<63x <
19
Solve:4x+14<54x <
20
Solve:4x+8<44x <

What is in this set

The numbers in this set run from 2 to 132.
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 7 in front of the x was never divided out.
Answers are a whole number.

Drawing 240 problems from this page produced 223 different ones, 93% — 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.