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Sagot :
Substitution involves plugging the given values of the variables and the
parenthesis is a sign for multiplication (multiplied by).
The correct responses are as follows;
- 7. 2·(x + 4) + 10 = 28
- 8. 3·(4·x) + 4 = 64
- 9. 10·(x·y) = 300
- 10. 2·(x + y) = 22
- 11. 3·r × s + 4·x = 38
- 12. 2×q + 2×x + 2×t = 20
- 13. 6×3×t + 6×4×s = 144
- 14. 10×(10×x) + 10×y = 560
- 15. x·x·y = 150
- 16. r·s·t = 24
- 17. r·s·t·x·y = 720
- 18. 6·(2·x + 3·y) = 168
Methods by which the above responses are arrived at:
Given; q = 1; r = 2; s = 3; t = 4; x = 5; y = 6
7. 2·(x + 4) + 10, by substituting x = 5, we have;
- 2·(x + 4) + 10 = 2 × (5 + 4) + 10 = 28
8. 3·(4·x) + 4
Substituting x = 5 gives;
- 3·(4 × 5) + 4 = 64
9. 10·(x·y)
Substituting x = 5, and y = 6 gives;
- 10·(x·y) = 10 × (5 × 6) = 300
10. 2·(x + y)
Substituting x = 5, and y = 6 gives;
- 2·(x + y) = 2 × (5 + 6) = 22
11. 3·r·s + 4·x
Substituting r = 2, and s = 3, and x = 5, gives;
- 3·r·s + 4·x = 3 × (2 × 3) + 4×(5) = 38
12. 2·q + 2·x + 2×t
Where, q = 1, x = 5, and t = 4, we get;
- 2·q + 2·x + 2·t = 2 × 1 + 2 × (5 + 4) = 20
13. 6·3·t + 6·4·s
Plugging in t = 4, and s = 3, we get;
- 6·3·t + 6·4·s = 6 × (3×4 + 4×3) = 144
14. 10·(10·x) + 10·y
x = 5, y = 6
- 10·(10·x) + 10·y = 10 × (10×5) + 10 × 6 = 560
15. x·x·y
x = 5, y = 6
Therefore;
- x·x·y = 5 × (5 × 6) = 150
16. r·s·t
r = 2, s = 3, t = 4
Therefore;
- r·s·t = 2 × (3) × (4) = 24
17. r·s·t·x·y
r = 2, s = 3, t = 4, x = 5, and y = 6
- r·s·t·x·y = 2 × 3 × 4 × 5 × 6 = 720
18. 6·(2·x + 3·y)
x = 5, y = 6
- 6·(2·x + 3·y) = 6 × (2 × 5 + 3 × 6) = 168
Formatted Responses to the Questions;
Please find attached a representation of the above responses in the question format
Learn more about substitution property here:
https://brainly.com/question/11388301
https://brainly.com/question/11452422
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