Equations with brackets

Difficulty Stretch · Set mqf4sc

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1
Solve for x:7(x+6)=84x =
2
Solve for x:2(x+10)=56x =
3
Solve for x:8(x+13)=208x =
4
Solve for x:3(x+9)=51x =
5
Solve for x:5(x+14)=100x =
6
Solve for x:8(x+13)=192x =
7
Solve for x:3(x+11)=72x =
8
Solve for x:8(x+18)=296x =
9
Solve for x:3(x+3)=45x =
10
Solve for x:7(x+9)=133x =
11
Solve for x:6(x+6)=150x =
12
Solve for x:9(x+4)=207x =
13
Solve for x:2(x+9)=54x =
14
Solve for x:8(x+7)=104x =
15
Solve for x:6(x+14)=210x =
16
Solve for x:5(x+18)=185x =
17
Solve for x:5(x+7)=65x =
18
Solve for x:3(x+3)=63x =
19
Solve for x:4(x+5)=52x =
20
Solve for x:6(x+2)=42x =

What is in this set

The numbers in this set run from 2 to 324.
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 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 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.