Equations that need tidying first

Difficulty Standard · Set 041htm

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1
Collect the like terms, then solve for n:6n+3n−5=31n =
2
Collect the like terms, then solve for n:8n+5n−7=71n =
3
Collect the like terms, then solve for n:2n+3n−6=-1n =
4
Collect the like terms, then solve for n:4n+1n−5=15n =
5
Collect the like terms, then solve for n:3n+3n−2=4n =
6
Collect the like terms, then solve for n:4n+5n−8=28n =
7
Collect the like terms, then solve for n:3n+2n−9=26n =
8
Collect the like terms, then solve for x:9x+5x−1=97x =
9
Collect the like terms, then solve for x:8x+2x−5=75x =
10
Collect the like terms, then solve for n:6n+1n−1=62n =
11
Collect the like terms, then solve for x:7x+6x−6=7x =
12
Collect the like terms, then solve for x:7x+6x−7=84x =
13
Collect the like terms, then solve for x:2x+2x−3=33x =
14
Collect the like terms, then solve for x:2x+3x−8=32x =
15
Collect the like terms, then solve for n:2n+2n−8=24n =
16
Collect the like terms, then solve for x:2x+8x−5=85x =
17
Collect the like terms, then solve for x:9x+5x−7=49x =
18
Collect the like terms, then solve for n:3n+2n−7=28n =
19
Collect the like terms, then solve for n:2n+7n−9=36n =
20
Collect the like terms, then solve for n:7n+7n−3=11n =

What is in this set

The numbers in this set run from 1 to 152.
Every problem in it will have to be tidied before they can be solved.
A careful solution takes 3 written steps on average.
The mistake this set invites most often, in 21% of the problems: the 6x was left out of the tidying.
Answers are a whole number.

Drawing 240 problems from this page produced 238 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.

Next to this

The rule for the nth term

Numbers 1–52; every one will ask for the rule rather than the next term.

One-step equations: division

Numbers 2–18; every one will take one step.

All of algebra

22 skills in this topic, 65 sets between them.

Printing it

The printed sheet carries no menus and no advertising, and the answer key is on its own page.