Equations with brackets

Difficulty Standard · Set smp99q

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

1
Solve for x:2(x+3)=26x =
2
Solve for x:3(x+4)=27x =
3
Solve for x:4(x+2)=36x =
4
Solve for x:4(x+3)=20x =
5
Solve for x:4(x+8)=44x =
6
Solve for x:4(x+5)=44x =
7
Solve for x:2(x+2)=20x =
8
Solve for x:5(x+9)=55x =
9
Solve for x:5(x+4)=80x =
10
Solve for x:3(x+6)=54x =
11
Solve for x:5(x+3)=65x =
12
Solve for x:5(x+5)=40x =
13
Solve for x:5(x+7)=60x =
14
Solve for x:3(x+10)=51x =
15
Solve for x:2(x+5)=34x =
16
Solve for x:4(x+8)=40x =
17
Solve for x:2(x+10)=46x =
18
Solve for x:3(x+7)=42x =
19
Solve for x:5(x+5)=35x =
20
Solve for x:5(x+4)=80x =

What is in this set

The numbers in this set run from 2 to 115.
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 183 different ones, 76% — 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.