Simplifying Multiplication with Factors - Bracketed Factors to Composite (Level 2)

This math topic focuses on simplifying multiplication with factors and combining bracketed multipliers into a single composite number. It practices basic operations within the broader subjects of factoring, multiplication, division, and introductory fractions. Each problem involves multiplying the numbers from two sets of brackets and selecting the correct composite from provided choices. This type of exercise helps in enhancing mathematical fluency in manipulating and simplifying expressions by applying fundamental multiplication to factorized forms.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Factoring - Simplifying Multiplication with Factors - Bracketed Factors to Composite Worksheet

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Factoring - Simplifying Multiplication with Factors - Bracketed Factors to Composite
1
Multiply the factors in the brackets to create a single multiplication
A LaTex expression showing (3 multiplied by 3 multiplied by 3) multiplied by (3 multiplied by 5 multiplied by 5)
a A LaTex expression showing 27 multiplied by 75
b A LaTex expression showing 22 multiplied by 73
c A LaTex expression showing 24 multiplied by 79
d A LaTex expression showing 27 multiplied by 70
e A LaTex expression showing 24 multiplied by 70
f A LaTex expression showing 23 multiplied by 79
2
Multiply the factors in the brackets to create a single multiplication
A LaTex expression showing (2 multiplied by 2 multiplied by 3 multiplied by 5) multiplied by (3 multiplied by 3)
a A LaTex expression showing 56 multiplied by 9
b A LaTex expression showing 55 multiplied by 13
c A LaTex expression showing 56 multiplied by 6
d A LaTex expression showing 60 multiplied by 9
e A LaTex expression showing 59 multiplied by 8
f A LaTex expression showing 55 multiplied by 12
3
Multiply the factors in the brackets to create a single multiplication
A LaTex expression showing (2 multiplied by 7 multiplied by 7) multiplied by (2 multiplied by 5 multiplied by 7)
a A LaTex expression showing 94 multiplied by 70
b A LaTex expression showing 96 multiplied by 68
c A LaTex expression showing 102 multiplied by 71
d A LaTex expression showing 93 multiplied by 69
e A LaTex expression showing 98 multiplied by 70
f A LaTex expression showing 102 multiplied by 68
4
Multiply the factors in the brackets to create a single multiplication
A LaTex expression showing (2 multiplied by 2 multiplied by 5) multiplied by (3 multiplied by 3 multiplied by 7)
a A LaTex expression showing 17 multiplied by 59
b A LaTex expression showing 24 multiplied by 66
c A LaTex expression showing 20 multiplied by 63
d A LaTex expression showing 19 multiplied by 67
e A LaTex expression showing 21 multiplied by 63
f A LaTex expression showing 23 multiplied by 58
5
Multiply the factors in the brackets to create a single multiplication
A LaTex expression showing (2 multiplied by 3) multiplied by (2 multiplied by 2 multiplied by 2 multiplied by 5)
a A LaTex expression showing 9 multiplied by 42
b A LaTex expression showing 3 multiplied by 37
c A LaTex expression showing 1 multiplied by 39
d A LaTex expression showing 1 multiplied by 36
e A LaTex expression showing 6 multiplied by 40
f A LaTex expression showing 10 multiplied by 44
6
Multiply the factors in the brackets to create a single multiplication
A LaTex expression showing (2 multiplied by 3 multiplied by 7) multiplied by (3 multiplied by 5 multiplied by 5)
a A LaTex expression showing 41 multiplied by 75
b A LaTex expression showing 39 multiplied by 76
c A LaTex expression showing 45 multiplied by 77
d A LaTex expression showing 43 multiplied by 71
e A LaTex expression showing 42 multiplied by 75
f A LaTex expression showing 42 multiplied by 74
7
Multiply the factors in the brackets to create a single multiplication
A LaTex expression showing (3 multiplied by 5 multiplied by 5) multiplied by (3 multiplied by 3 multiplied by 5)
a A LaTex expression showing 75 multiplied by 45
b A LaTex expression showing 71 multiplied by 46
c A LaTex expression showing 72 multiplied by 47
d A LaTex expression showing 72 multiplied by 41
e A LaTex expression showing 72 multiplied by 44
f A LaTex expression showing 70 multiplied by 48
8
Multiply the factors in the brackets to create a single multiplication
A LaTex expression showing (2 multiplied by 5 multiplied by 7) multiplied by (2 multiplied by 2 multiplied by 5)
a A LaTex expression showing 66 multiplied by 18
b A LaTex expression showing 66 multiplied by 20
c A LaTex expression showing 74 multiplied by 23
d A LaTex expression showing 68 multiplied by 15
e A LaTex expression showing 70 multiplied by 20
f A LaTex expression showing 67 multiplied by 16