Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23 - 9(2x + 5) + 11x?(1 point)
Apologies for the mistake. The correct application of the Distributive Property of Multiplication Over Addition for simplifying the expression 23 - 9(2x + 5) + 11x is:
23 - 18x - 45 + 11x
To simplify 2(3v + 9) - 14 - 6(-5v - 4) using the Distributive Property, we will distribute the coefficients to the terms inside the parentheses:
2(3v + 9) - 14 - 6(-5v - 4)
= 2 * 3v + 2 * 9 - 14 - 6 * -5v - 6 * -4
= 6v + 18 - 14 + 30v + 24
Next, we combine like terms:
= 6v + 30v + 18 + 24 - 14
= 36v + 28
Therefore, the simplified expression is 36v + 28.
To simplify -4(7b + 3) + 24b - 8 using the Distributive Property, we must distribute -4 to both terms inside the parentheses:
-4(7b + 3) + 24b - 8
= (-4 * 7b) + (-4 * 3) + 24b - 8
= -28b - 12 + 24b - 8
Now, we combine like terms:
= (-28b + 24b) + (-12 - 8)
= -4b - 20
Therefore, the simplified expression is -4b - 20.
To simplify 48y + 36z using the greatest common factor (GCF), we can find the GCF of the coefficients, which is 12. Then, we divide both terms by the GCF:
48y + 36z
= 12 * 4y + 12 * 3z
= 12(4y + 3z)
Therefore, the simplified expression is 12(4y + 3z).
That ain’t right
Simplify 2 (3v + 9) - 14 - 6 (-5v - 4)
To simplify -15 + 4/5 (15e - 10) - 10e, we will first distribute the 4/5 to the terms inside the parentheses:
-15 + 4/5 (15e - 10) - 10e
= -15 + (4/5) * 15e - (4/5) * 10 - 10e
= -15 + (4/5) * 15e - 8 - 10e
Next, we combine like terms:
= -15 + 12e - 8 - 10e
Now, we combine the e terms:
= 12e - 10e - 15 - 8
= 2e - 23
Therefore, the simplified expression is 2e - 23.
The correct application of the Distributive Property of Multiplication Over Addition for simplifying the expression 23 - 9(2x + 5) + 11x is:
23 - 9(2x) - 9(5) + 11x