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Evaluate Expressions Involving Parentheses - Math Worksheets ... - Free Printable

Evaluate Expressions Involving Parentheses - Math Worksheets ...

Educational worksheet: Evaluate Expressions Involving Parentheses - Math Worksheets .... Download and print for classroom or home learning activities.

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Let’s solve each expression step by step, following the order of operations (PEMDAS/BODMAS): Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

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1. R: 168 – 79 + 10



→ Left to right since only addition and subtraction:

168 – 79 = 89
89 + 10 = 99

Answer: 99 → Letter R

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2. S: 6 × (51 + 47)



→ First, parentheses:
51 + 47 = 98

→ Then multiplication:
6 × 98 = 588

Answer: 588 → Letter S

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3. T: 200 + 20 ÷ 2



→ Division first:
20 ÷ 2 = 10

→ Then addition:
200 + 10 = 210

Answer: 210 → Letter T

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4. E: 8 × 25 ÷ 5



→ Left to right for multiplication/division:

8 × 25 = 200
200 ÷ 5 = 40

Answer: 40 → Letter E

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5. E: 16 + 37(12 + 44)



→ First, parentheses:
12 + 44 = 56

→ Then multiplication:
37 × 56 — let’s compute that:

37 × 56 = 37 × (50 + 6) = (37×50) + (37×6) = 1850 + 222 = 2072

→ Then addition:
16 + 2072 = 2088

Answer: 2088 → Letter E

*(Note: There are two "E" boxes — this is fine; both get the same letter.)*

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6. C: 532 – ¼ × (77 + 23)



→ Parentheses first:
77 + 23 = 100

→ Then multiplication:
¼ × 100 = 25

→ Then subtraction:
532 – 25 = 507

Answer: 507 → Letter C

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## Now, match answers to letters in the table:

The table at the bottom has these answer slots:

| | | | | | |
|-----|-----|-----|-----|-----|-----|
| 588 | 2,088 | 507 | 99 | 40 | 210 |

We now assign the letter associated with each answer:

- 588 → S
- 2,088 → E
- 507 → C
- 99 → R
- 40 → E
- 210 → T

So the riddle answer is: S E C R E T

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## Final Answer: SECRET

> “If I have it, I don’t share it. If I share it, I don’t have it.” — This is a classic riddle for “secret”!

Solution: SECRET
Parent Tip: Review the logic above to help your child master the concept of evaluating expressions worksheet 6th grade.
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