Arithmetic Simplification Worksheet

Grade 11 math worksheet focusing on simplifying arithmetic expressions involving mixed operations, order of operations, and rational numbers.

Grade 11 Math Mixed OperationsArithmetic Simplification

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Includes

Fill in the Blanks3 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.EE.B.3CCSS.MATH.CONTENT.HSA.SSE.A.1

Topics

ArithmeticSimplificationOrder of OperationsRational NumbersGrade 11

8 sections · Free to use · Printable

Arithmetic Simplification

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

1. The acronym PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and and (from left to right).

2. When simplifying an expression, operations inside are always performed first.

3. Simplify: 15 - 3 × 4 + (18 ÷ 6)

4. Simplify: 24 ÷ (8 - 2) + 5²

5. Which of the following expressions simplifies to 10?

2 × 3 + 1

20 ÷ 4 + 5

(12 - 4) × 2

3² - 2 + 5

6. Simplify: (3/4) + (1/2) × (2/3)

7. Simplify: 0.5 × (1.2 + 3.8) - 1.5

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

True

False

9. Simplify: [ (1/3)² × 9 ] + √25 - (10 ÷ 2)