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Arithmetic Simplification Worksheet

Practice arithmetic simplification with mixed operations for Grade 6 students.

Grade 6 Math Mixed OperationsArithmetic Simplification
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.EE.A.2.CCCSS.MATH.CONTENT.6.EE.A.3
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Arithmetic Simplification

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Follow the order of operations (PEMDAS/BODMAS) to simplify each expression. Show your work.

1. Simplify: 18 - 3 × 4 + 2

2. Simplify: (5 + 3) × 7 - 10 ÷ 2

3. Simplify: 4² + (12 - 4) ÷ 2

4. In the order of operations,   is performed before multiplication.

5. The acronym PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and  .

6. Which operation should be performed first in the expression 24 ÷ 6 + 2 × 3?

a

Addition

b

Subtraction

c

Division

d

Multiplication

7. What is the value of 5 × (8 - 3)?

a

10

b

25

c

37

d

40

8. The expression 6 + 2 × 3 is equal to 24.

T

True

F

False

9. When simplifying, multiplication and division are performed from left to right.

T

True

F

False

10. Sarah bought 3 notebooks for $2 each and 5 pens for $1 each. If she paid with a $20 bill, how much change did she receive? Write an expression and simplify.

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