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WILL GIVE BRAINLIEST
Use your knowledge about parentheses and substitution to solve the following:

q = 1; r = 2; s = 3; t = 4; x = 5; y = 6

7. 2(x+4) + 10 =

8. 3(4x) + 4 =

9. 10(xy) =

10. 2(x + y) =

11. 3(rs) + 4(x)

12. 2(q) + 2(x + t) =

13. 6(3t + 4s) =

14. 10(10x) + 10y =

15. x(xy) =

16. r(s)(t) =

17. (r)(s)(t)(x)(y) =

18. 6(2x + 3Y) =

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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