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Grade 8 Arithmetic Simplification

A worksheet for 8th-grade students focusing on simplifying arithmetic expressions involving various operations and orders of operations.

Grade 8 Math Mixed OperationsArithmetic Simplification
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

arithmeticsimplificationorder of operationsgrade 8math
7 sections · Free to use · Printable
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Grade 8 Arithmetic Simplification

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Read each question carefully and simplify the arithmetic expressions. Show all your work for full credit.

1. Simplify: 15 + (12 - 4) × 3 ÷ 2

2. Simplify: (25 - 5) ÷ 4 + 7 × (3 + 1)

3. According to the order of operations,   are performed before multiplication and division.

4. When simplifying   expressions, operations inside parentheses are always done first.

5. Which of the following expressions simplifies to 10?

a

2 × 3 + 4

b

20 ÷ 5 + 5

c

(12 - 2) ÷ 2

d

1 + 2 × 3

6. Evaluate: 7² - (5 × 3) + 10

a

44

b

49

c

54

d

64

7. The expression 8 + 4 × 2 is equivalent to (8 + 4) × 2.

T

True

F

False

8. When simplifying, addition and subtraction are performed from left to right.

T

True

F

False

9. A baker made 3 batches of cookies with 12 cookies each. He then sold 20 cookies. Write an expression and simplify it to find out how many cookies are left.