Expanding a bracket and collecting terms

Difficulty Standard · Set 1r6aau

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1
Expand and simplify6(2x+12)+3x— give the number of x.
2
Expand and simplify3(7x+10)+7x— give the number of x.
3
Expand and simplify5(5x+10)+4x— give the number of x.
4
Expand and simplify9(7x+3)+4x— give the number of x.
5
Expand and simplify7(8x+12)+9x— give the number of x.
6
Expand and simplify6(6x+4)+8x— give the number of x.
7
Expand and simplify7(7x+11)+4x— give the number of x.
8
Expand and simplify9(8x+4)+3x— give the number of x.
9
Expand and simplify6(6x+10)+9x— give the number of x.
10
Expand and simplify2(4x+2)+5x— give the number of x.
11
Expand and simplify4(8x+3)+3x— give the number of x.
12
Expand and simplify8(9x+12)+3x— give the number of x.
13
Expand and simplify6(4x+10)+8x— give the number of x.
14
Expand and simplify2(3x+5)+8x— give the number of x.
15
Expand and simplify4(3x+8)+6x— give the number of x.
16
Expand and simplify7(7x+7)+4x— give the number of x.
17
Expand and simplify8(3x+8)+8x— give the number of x.
18
Expand and simplify5(2x+12)+9x— give the number of x.
19
Expand and simplify9(3x+10)+4x— give the number of x.
20
Expand and simplify8(4x+2)+9x— give the number of x.

What is in this set

The numbers in this set run from 2 to 12.
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 229 different ones, 95% — 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.