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Grade 9 Arithmetic Simplification Worksheet

A worksheet for Grade 9 students focusing on simplifying arithmetic expressions involving various operations and order of operations.

Grade 9 Math Mixed OperationsArithmetic Simplification
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.EE.B.3CCSS.MATH.CONTENT.8.EE.B.5

Topics

arithmeticsimplificationorder of operationsgrade 9math
7 sections · Free to use · Printable
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Arithmetic Simplification

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Date:

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Read each question carefully and simplify the arithmetic expressions using the correct order of operations (PEMDAS/BODMAS). Show all your work.

1. Simplify: 15 + (3 × 4) - 20 ÷ 5

2. Simplify: 7 × (8 - 3)² + 15

3. Simplify: 48 ÷ 6 + 2 × (10 - 7)

4. According to the order of operations, we perform operations inside   first.

5. Exponents are evaluated   multiplication and division.

6. When only multiplication and division are present, we solve from   to  .

7. What is the value of 36 ÷ (3 + 3) × 2?

a

3

b

12

c

18

d

4

8. Which operation is performed first in the expression 5 + 6 × (10 - 2)?

a

Addition

b

Multiplication

c

Subtraction

d

None of the above

9. In the expression 10 - 5 + 2, subtraction should be performed before addition.

T

True

F

False

10. The expression (4 + 6) ÷ 2 is equivalent to 4 + 6 ÷ 2.

T

True

F

False

11. A student bought 3 notebooks for $2.50 each and 2 pens for $1.25 each. He paid with a $10 bill. Write an expression to represent the change he received and then simplify it.