You're given a worksheet titled
“Pre Algebra Expressions” with the instruction:
> *Evaluate each expression when y = 56. (Division, Addition and Parenthesis)*
This means you need to
substitute y = 56 into each expression and then simplify using the correct order of operations (Parentheses first, then Division).
Let’s solve each one step by step.
---
1. 96 ÷ (y + 90)
Substitute y = 56:
→ 96 ÷ (56 + 90) = 96 ÷ 146
Simplify:
→ 96/146 =
48/73 (simplified by dividing numerator and denominator by 2)
✔ Answer: 48/73
---
2. 96 ÷ (y + 7)
Substitute y = 56:
→ 96 ÷ (56 + 7) = 96 ÷ 63
Simplify:
→ 96/63 =
32/21 (divide numerator and denominator by 3)
✔ Answer: 32/21
---
3. 47 ÷ (y + 70)
Substitute y = 56:
→ 47 ÷ (56 + 70) = 47 ÷ 126
Check if reducible: 47 is prime, doesn’t divide 126 → already simplified.
✔ Answer: 47/126
---
4. (y + 5) ÷ 43
Substitute y = 56:
→ (56 + 5) ÷ 43 = 61 ÷ 43
→ 61/43 (already in simplest form; 61 is prime)
✔ Answer: 61/43
---
5. (y + 46) ÷ 11
Substitute y = 56:
→ (56 + 46) ÷ 11 = 102 ÷ 11
→ 102/11 (can be written as mixed number: 9 3/11, but fraction is fine)
✔ Answer: 102/11
---
6. 4 ÷ (y + 51)
Substitute y = 56:
→ 4 ÷ (56 + 51) = 4 ÷ 107
→ 4/107 (already simplified)
✔ Answer: 4/107
---
7. (y + 14) ÷ 9
Substitute y = 56:
→ (56 + 14) ÷ 9 = 70 ÷ 9
→ 70/9 (or 7 7/9 as mixed number)
✔ Answer: 70/9
---
8. 7 ÷ (y + 36)
Substitute y = 56:
→ 7 ÷ (56 + 36) = 7 ÷ 92
→ 7/92 (already simplified)
✔ Answer: 7/92
---
9. (y + 2) ÷ 45
Substitute y = 56:
→ (56 + 2) ÷ 45 = 58 ÷ 45
→ 58/45 (can also write as 1 13/45)
✔ Answer: 58/45
---
10. 16 ÷ (y + 86)
Substitute y = 56:
→ 16 ÷ (56 + 86) = 16 ÷ 142
Simplify: divide numerator and denominator by 2 →
8/71
✔ Answer: 8/71
---
##
✔ Final Answers Summary:
1.
48/73
2.
32/21
3.
47/126
4.
61/43
5.
102/11
6.
4/107
7.
70/9
8.
7/92
9.
58/45
10.
8/71
---
💡
Tip for Students: Always remember PEMDAS — Parentheses first! When substituting, put parentheses around the substituted value to avoid mistakes. Simplify fractions when possible.
Let me know if you’d like these as decimals or mixed numbers too!
Parent Tip: Review the logic above to help your child master the concept of simplifying and evaluating algebraic expressions worksheet.
