Equations with brackets

Difficulty Starter · Set gl5yee

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

1
Solve for x:3(x+2)=15x =
2
Solve for x:3(x+6)=39x =
3
Solve for x:2(x+2)=20x =
4
Solve for x:2(x+5)=18x =
5
Solve for x:3(x+4)=27x =
6
Solve for x:2(x+3)=10x =
7
Solve for x:3(x+6)=42x =
8
Solve for x:3(x+2)=21x =
9
Solve for x:3(x+2)=21x =
10
Solve for x:2(x+6)=22x =
11
Solve for x:2(x+2)=16x =
12
Solve for x:3(x+4)=18x =
13
Solve for x:3(x+6)=30x =
14
Solve for x:3(x+4)=39x =
15
Solve for x:2(x+4)=26x =
16
Solve for x:3(x+5)=36x =
17
Solve for x:3(x+5)=36x =
18
Solve for x:3(x+6)=42x =
19
Solve for x:3(x+6)=45x =
20
Solve for x:2(x+6)=26x =

What is in this set

The numbers in this set run from 2 to 45.
Every problem in it will have brackets to clear first.
A careful solution takes 3 written steps on average.
The mistake this set invites most often, in 100% of the problems: the bracket was divided out but the inside term was multiplied instead of left alone.
Answers are a whole number.

Drawing 240 problems from this page produced 77 different ones, 32% — so a sheet of 20 will come back to a problem you have seen — there are only so many sensible ones of this kind.

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.