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Math worksheet with 14 expressions to evaluate, including order of operations and fractions.

A worksheet with 14 math problems requiring evaluation of expressions involving addition, subtraction, multiplication, division, parentheses, and fractions.

A worksheet with 14 math problems requiring evaluation of expressions involving addition, subtraction, multiplication, division, parentheses, and fractions.

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Show Answer Key & Explanations Step-by-step solution for: Algebra 1 | AIAN - RM 302
Sure! Let’s evaluate each expression step by step, following the order of operations (PEMDAS/BODMAS):

> Parentheses / Brackets
> Exponents / Orders
> Multiplication and Division (left to right)
> Addition and Subtraction (left to right)

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13) 7 + 10 × 5 + 10



- Multiply first: `10 × 5 = 50`
- Now: `7 + 50 + 10`
- Add left to right: `7 + 50 = 57`, then `57 + 10 = 67`

Answer: 67

---

14) (6 + 25 − 7) ÷ 6



- Inside parentheses: `6 + 25 = 31`, then `31 − 7 = 24`
- Now: `24 ÷ 6 = 4`

Answer: 4

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15) (6 − 4) × 49 ÷ 7



- Parentheses: `6 − 4 = 2`
- Now: `2 × 49 ÷ 7`
- Left to right: `2 × 49 = 98`, then `98 ÷ 7 = 14`

Answer: 14

---

16) (7 × 5) ÷ 5



- Parentheses: `7 × 5 = 35`
- Then: `35 ÷ 5 = 7`

Answer: 7

---

17) (43 − 1)/(4 + 2) + 10



- Numerator: `43 − 1 = 42`
- Denominator: `4 + 2 = 6`
- So: `42 ÷ 6 = 7`
- Then: `7 + 10 = 17`

Answer: 17

---

18) (8 + 5) × 35/5 + 6



- Parentheses: `8 + 5 = 13`
- Fraction: `35 ÷ 5 = 7`
- Now: `13 × 7 = 91`
- Then: `91 + 6 = 97`

Answer: 97

---

19) 27/(2 + 3 + 4) + 3



- Denominator: `2 + 3 + 4 = 9`
- So: `27 ÷ 9 = 3`
- Then: `3 + 3 = 6`

Answer: 6

---

20) 45/[8(5 − 4) − 3]



- Inside inner parentheses: `5 − 4 = 1`
- Multiply: `8 × 1 = 8`
- Subtract: `8 − 3 = 5`
- Now: `45 ÷ 5 = 9`

Answer: 9

---

21) 8 × 15/5 − (5 + 9)



- Fraction: `15 ÷ 5 = 3`
- Multiply: `8 × 3 = 24`
- Parentheses: `5 + 9 = 14`
- Subtract: `24 − 14 = 10`

Answer: 10

---

22) 2 × 7 − 10/(9 − 4)



- Multiply: `2 × 7 = 14`
- Denominator: `9 − 4 = 5`
- Fraction: `10 ÷ 5 = 2`
- Subtract: `14 − 2 = 12`

Answer: 12

---

23) (10 + 2 − 2) × 6 − 1



- Inside parentheses: `10 + 2 = 12`, then `12 − 2 = 10`
- Multiply: `10 × 6 = 60`
- Subtract: `60 − 1 = 59`

Answer: 59

---

24) 49/7 × 60/(2 × 5)



- First fraction: `49 ÷ 7 = 7`
- Denominator: `2 × 5 = 10`
- Second fraction: `60 ÷ 10 = 6`
- Multiply: `7 × 6 = 42`

Answer: 42

---

25) (2 + 6 × 2 + 2 − 4) × 2



- Inside parentheses: do multiplication first → `6 × 2 = 12`
- Now: `2 + 12 + 2 − 4`
- Left to right: `2 + 12 = 14`, `14 + 2 = 16`, `16 − 4 = 12`
- Multiply by 2: `12 × 2 = 24`

Answer: 24

---

26) 8/(5 − 1) × (3 + 6) × 3



- Denominator: `5 − 1 = 4` → `8 ÷ 4 = 2`
- Parentheses: `3 + 6 = 9`
- Now: `2 × 9 × 3`
- Left to right: `2 × 9 = 18`, then `18 × 3 = 54`

Answer: 54

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## Final Answers:

13) 67
14) 4
15) 14
16) 7
17) 17
18) 97
19) 6
20) 9
21) 10
22) 12
23) 59
24) 42
25) 24
26) 54

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