Two-step equations

Difficulty Stretch · Set dxf793

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1
Solve for x:10x+11=241x =
2
Solve for x:5x+13=78x =
3
Solve for x:8x+13=61x =
4
Solve for x:9x+13=229x =
5
Solve for x:11x+15=-29x =
6
Solve for x:3x+16=40x =
7
Solve for x:5x+24=49x =
8
Solve for x:9x+17=161x =
9
Solve for x:10x+10=130x =
10
Solve for x:3x+12=42x =
11
Solve for x:4x+15=3x =
12
Solve for x:11x+7=-48x =
13
Solve for x:6x+8=-22x =
14
Solve for x:5x+13=-32x =
15
Solve for x:10x+6=96x =
16
Solve for x:6x+19=-59x =
17
Solve for x:5x+18=-67x =
18
Solve for x:8x+27=51x =
19
Solve for x:12x+14=206x =
20
Solve for x:11x+11=-154x =

What is in this set

The numbers in this set run from 1 to 281.
Every problem in it will take two steps.
45% of them come out negative.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 100% of the problems: both sides were divided by 3 before the 27 was taken away.
Answers are a whole number.

Drawing 240 problems from this page produced 237 different ones, 99% — 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 7 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.