Expanding a bracket and collecting terms

Difficulty Stretch · Set sd8bno

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1
Expand and simplify13(13x+10)+7x— give the number of x.
2
Expand and simplify13(5x+16)+13x— give the number of x.
3
Expand and simplify13(12x+13)+8x— give the number of x.
4
Expand and simplify10(12x+2)+14x— give the number of x.
5
Expand and simplify2(13x+4)+14x— give the number of x.
6
Expand and simplify9(9x+7)+11x— give the number of x.
7
Expand and simplify13(6x+5)+9x— give the number of x.
8
Expand and simplify9(4x+11)+4x— give the number of x.
9
Expand and simplify4(2x+7)+14x— give the number of x.
10
Expand and simplify5(7x+13)+14x— give the number of x.
11
Expand and simplify8(13x+9)+10x— give the number of x.
12
Expand and simplify13(2x+10)+10x— give the number of x.
13
Expand and simplify3(3x+7)+7x— give the number of x.
14
Expand and simplify10(9x+3)+5x— give the number of x.
15
Expand and simplify7(11x+5)+13x— give the number of x.
16
Expand and simplify2(13x+15)+9x— give the number of x.
17
Expand and simplify8(14x+17)+6x— give the number of x.
18
Expand and simplify13(3x+15)+4x— give the number of x.
19
Expand and simplify11(11x+14)+9x— give the number of x.
20
Expand and simplify3(12x+4)+10x— give the number of x.

What is in this set

The numbers in this set run from 2 to 17.
A careful solution takes 3 written steps on average.
The mistake this set invites most often, in 100% of the problems: the bracket was dropped without multiplying.
Answers are a whole number.

Drawing 240 problems from this page produced 239 different ones, 100% — 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.