By applying algebra properties we notice that the algebraic expression 0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) is equivalent to 35 · x - 35 · y + 21. (Correct choice: D) #SPJ5
How to simplify an algebraic expression
In this question we must simplify an algebraic expression by applying the following list of properties:
- Commutative property
- Associative property
- Modulative property
- Distributive property
- Existence of additive inverse
- Existence of multiplicative inverse
Now we proceed to simplify the expression given in the statement:
0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) Given
10 · x - 25 · y + 18 + 25 · x - 10 · y + 3 Distributive and associative properties/Definition of multiplication
35 · x - 35 · y + 21 Result
By applying algebra properties we notice that the algebraic expression 0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) is equivalent to 35 · x - 35 · y + 21. (Correct choice: D) #SPJ5
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