Order of operations: printable worksheets

Evaluate expressions with parentheses, brackets and braces, write an expression from words, and interpret an expression without evaluating it.

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Sample worksheet

The first 6 problems of a real worksheet, made the way the builder makes it. Open it in the builder to change the number of problems, the difficulty and the layout, then print.

1.
2.
Write an expression for the words.
Add 23 and 22, then multiply by 5, then add 28.
3.
Which phrase describes this expression? Do not find its value.
  1. A.4 more than the sum of 7 and 21
  2. B.4 less than the sum of 7 and 21
  3. C.one of 4 equal parts of the sum of 7 and 21
  4. D.4 times as large as the sum of 7 and 21
4.
5.
Write an expression for the words.
Add 11 and 25, then multiply by 15, then divide by 4.
6.
Which phrase describes this expression? Do not find its value.
  1. A.10 more than the difference of 23 and 6
  2. B.10 less than the difference of 23 and 6
  3. C.10 times as large as the difference of 23 and 6
  4. D.one of 10 equal parts of the difference of 23 and 6
Show answers
1.242
2.
3.C. one of 4 equal parts of the sum of 7 and 21
4.365
5.
6.B. 10 less than the difference of 23 and 6

What students practise

I can use properties to multiply.

Students name and apply the commutative, associative, distributive, identity and zero properties to multiply.

Key words

commutative property
changing the order of factors keeps the product
distributive property
break a factor apart, multiply each part, then add
identity property
any number times one is that number

Common mistakes

Standards

Common Core State Standards this worksheet practises.