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Arithmetic Simplification Worksheet

This worksheet provides practice on simplifying arithmetic expressions involving mixed operations for 7th-grade students.

Grade 7 Math Mixed OperationsArithmetic Simplification
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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.7.EE.B.3

Topics

mathgrade 7arithmeticsimplificationmixed operations
7 sections · Free to use · Printable
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Arithmetic Simplification

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Simplify each arithmetic expression using the order of operations (PEMDAS/BODMAS). Show your work.

1. The acronym used to remember the order of operations is  .

2. In the expression 5 + 3 × 2, the first operation to perform is  .

3. Parentheses are always simplified   any other operations.

4. What is the correct value of 12 ÷ 3 + 2 × 5?

a

14

b

30

c

22

d

19

5. Which operation should be performed first in the expression 20 - (4 + 6) × 2?

a

Subtraction

b

Addition

c

Multiplication

d

Division

6. Simplify: 18 - 6 ÷ 3 + 4

7. Simplify: (7 + 3) × 5 - 15

8. Simplify: 4² + (10 - 2) ÷ 4

9. The expression 6 × 2 + 3 equals 15.

T

True

F

False

10. In PEMDAS, addition always comes before subtraction.

T

True

F

False

Match the expression with its simplified value.

11. 10 + 5 - 3

 

a. 12

12. 4 × (2 + 1)

 

b. 10

13. 25 ÷ 5 + 7

 

c. 12

14. 3² + 1

 

d. 13