Let’s solve each problem one by one. We’ll plug in the given values and follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division left to right, Addition/Subtraction left to right).
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1. 1 ÷ z · y
Given: y = 4, z = 1
→ 1 ÷ 1 · 4
→ First, 1 ÷ 1 = 1
→ Then, 1 · 4 =
4
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2. 10(x - b)
Given: x = 8, b = 3
→ 10(8 - 3)
→ 8 - 3 = 5
→ 10 · 5 =
50
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3. z + 2 + v
Given: z = 6, v = 8
→ 6 + 2 + 8
→ 6 + 2 = 8; 8 + 8 =
16
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4. 8 · 6 ÷ c
Given: c = 6
→ 8 · 6 ÷ 6
→ Left to right: 8 · 6 = 48; 48 ÷ 6 =
8
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5. z · 4 ÷ x
Given: x = 8, z = 6
→ 6 · 4 ÷ 8
→ 6 · 4 = 24; 24 ÷ 8 =
3
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6. c - (7 - c)
Given: c = 5
→ 5 - (7 - 5)
→ Inside parentheses: 7 - 5 = 2
→ 5 - 2 =
3
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7. (2 - a)²
Given: a = 1
→ (2 - 1)²
→ 2 - 1 = 1
→ 1² =
1
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8. c - (8 - b)
Given: c = 8, b = 8
→ 8 - (8 - 8)
→ 8 - 8 = 0
→ 8 - 0 =
8
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9. 4 - (y - 1)
Given: y = 4
→ 4 - (4 - 1)
→ 4 - 1 = 3
→ 4 - 3 =
1
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10. a ÷ 10 + a
Given: a = 8
→ 8 ÷ 10 + 8
→ 8 ÷ 10 = 0.8
→ 0.8 + 8 =
8.8
*(Note: If your class uses fractions, this is 8/10 + 8 = 4/5 + 8 = 8 4/5 or 44/5 — but decimal is fine unless specified.)*
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11. y ÷ 4 + 3
Given: y = 1
→ 1 ÷ 4 + 3
→ 1 ÷ 4 = 0.25
→ 0.25 + 3 =
3.25
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12. 3 ÷ y · 9
Given: y = 9
→ 3 ÷ 9 · 9
→ Left to right: 3 ÷ 9 = 1/3; then 1/3 · 9 =
3
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13. x - (7 - 4)
Given: x = 9
→ 9 - (7 - 4)
→ 7 - 4 = 3
→ 9 - 3 =
6
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14. z + 3 · 4
Given: z = 2
→ 2 + 3 · 4
→ Multiply first: 3 · 4 = 12
→ 2 + 12 =
14
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15. x + 4 · 10
Given: x = 6
→ 6 + 4 · 10
→ Multiply first: 4 · 10 = 40
→ 6 + 40 =
46
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Final Answer:
1. 4
2. 50
3. 16
4. 8
5. 3
6. 3
7. 1
8. 8
9. 1
10. 8.8
11. 3.25
12. 3
13. 6
14. 14
15. 46
Parent Tip: Review the logic above to help your child master the concept of evaluating algebraic expressions worksheet pdf.
