https://file.aiquickdraw.com/mathbot/file/172840428190857m5awfu.jpg

The table provides algebraic expressions and assigns specific values to variables under the "WHEN" column, helping compute the final values for each expression.

Let’s solve each row, following the example given:

1. **Expression:** \( \frac{a}{4} \), **When:** \( a = 20 \)
   \[
   \frac{20}{4} = 5
   \]
   **Value:** 5

2. **Expression:** \( b + 2.5 \), **When:** \( b = 8.5 \)
   \[
   8.5 + 2.5 = 11
   \]
   **Value:** 11

3. **Expression:** \( 1 - c \), **When:** \( c = 0.24 \)
   \[
   1 - 0.24 = 0.76
   \]
   **Value:** 0.76

4. **Expression:** \( 0.5d \), **When:** \( d = 4 \)
   \[
   0.5 \times 4 = 2
   \]
   **Value:** 2

5. **Expression:** \( e - 1.6 \), **When:** \( e = 4 \)
   \[
   4 - 1.6 = 2.4
   \]
   **Value:** 2.4

6. **Expression:** \( \frac{1}{6}f \), **When:** \( f = 35 \)
   \[
   \frac{1}{6} \times 35 = 5.83
   \]
   **Value:** 5.83 (rounded to two decimal places)

7. **Expression:** \( g^2 \), **When:** \( g = 9 \)
   \[
   9^2 = 81
   \]
   **Value:** 81

8. **Expression:** \( 3.5 - h \), **When:** \( h = 0.9 \)
   \[
   3.5 - 0.9 = 2.6
   \]
   **Value:** 2.6

9. **Expression:** \( \frac{32}{i} \), **When:** \( i = 4 \)
   \[
   \frac{32}{4} = 8
   \]
   **Value:** 8

10. **Expression:** \( 2j + 3 \), **When:** \( j = 7 \)
   \[
   2 \times 7 + 3 = 14 + 3 = 17
   \]
   **Value:** 17

11. **Expression:** \( 3k - 1 \), **When:** \( k = 3 \)
   \[
   3 \times 3 - 1 = 9 - 1 = 8
   \]
   **Value:** 8

12. **Expression:** \( l + 7 \), **When:** \( l = 13 \)
   \[
   13 + 7 = 20
   \]
   **Value:** 20

13. **Expression:** \( 2m - 5 \), **When:** \( m = 6 \)
   \[
   2 \times 6 - 5 = 12 - 5 = 7
   \]
   **Value:** 7

14. **Expression:** \( 12 - 2n \), **When:** \( n = 4 \)
   \[
   12 - 2 \times 4 = 12 - 8 = 4
   \]
   **Value:** 4

15. **Expression:** \( 2(o + 1) \), **When:** \( o = 8 \)
   \[
   2 \times (8 + 1) = 2 \times 9 = 18
   \]
   **Value:** 18

16. **Expression:** \( 3(p - 2) \), **When:** \( p = 5 \)
   \[
   3 \times (5 - 2) = 3 \times 3 = 9
   \]
   **Value:** 9

17. **Expression:** \( \frac{q}{4} \), **When:** \( q = 20 \)
   \[
   \frac{20}{4} = 5
   \]
   **Value:** 5

18. **Expression:** \( \frac{1}{8}(r + 3) \), **When:** \( r = 7 \)
   \[
   \frac{1}{8} \times (7 + 3) = \frac{1}{8} \times 10 = 1.25
   \]
   **Value:** 1.25

19. **Expression:** \( s^2 \), **When:** \( s = 10 \)
   \[
   10^2 = 100
   \]
   **Value:** 100

20. **Expression:** \( t^2 + 3 \), **When:** \( t = 4 \)
   \[
   4^2 + 3 = 16 + 3 = 19
   \]
   **Value:** 19

---

Would you like any additional details or have questions on any of the steps?

Here are 5 related questions to deepen understanding:
1. How would the result change if variable \( a \) was doubled in expression 1?
2. What happens if \( e = 1.6 \) in expression 5?
3. Can you explore how the expression \( b + 2.5 \) changes when \( b = -8.5 \)?
4. How does \( f = 42 \) affect expression 6?
5. What happens to expression 15 if \( o = 0 \)?

**Tip:** Always substitute the variables carefully and simplify step-by-step to avoid small mistakes in computation.

Table with algebraic expressions, variable assignments, and their calculated values.

This problem involves solving various algebraic expressions by substituting given values for variables. It covers basic algebraic operations, including addition, subtraction, multiplication, and division. Suitable for students in Grades 6-8.

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