Simplify 5(7x−2)−14x+4 .(1 point)
35x - 10 - 14x + 4 = 21x - 6
Simplify 17d−33+9(2d+6)−11 .(1 point) $$
17d-33+9(2d+6)-11
= 17d - 33 + 18d + 54 - 11
= 35d + 10
Simplify 6(3q−4)+18−12q−7(4q+5)
6(3q-4) + 18 - 12q - 7(4q+5)
= 18q - 24 + 18 - 12q - 28q - 35
= -22q - 41
Simplify −5+34(8h+12)−10h .(1 point)
-5 + 34(8h+12) - 10h
= -5 + 272h + 408 - 10h
= 262h + 403
Factor 24n−32 using the GCF.
To factor out the greatest common factor (GCF) from 24n and -32, we need to find the largest number that evenly divides both 24 and 32.
The prime factorization of 24 is 2 * 2 * 2 * 3, while the prime factorization of 32 is 2 * 2 * 2 * 2 * 2.
The GCF is therefore 2 * 2 * 2, which is 8.
We can rewrite 24n and -32 as 8 * 3n and 8 * -4.
Therefore, we can factor 24n - 32 as 8(3n - 4).
gcf 24n−32
The greatest common factor (GCF) of 24n and -32 is 8.
gcf 24n−8
The greatest common factor (GCF) of 24n and -8 is 8.
23−9(2x+5)+11x ?(1 p
To simplify the expression, we will distribute the -9 and combine like terms.
23 - 9(2x + 5) + 11x
= 23 - 18x - 45 + 11x
= -7x - 22
Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x ?(1 point) Responses
The correct application of the Distributive Property of Multiplication Over Addition for simplifying 23-9(2x+5)+11x is:
23 - 9(2x) - 9(5) + 11x
= 23 - 18x - 45 + 11x
Simplify −4(7b+3)+24b−8
To simplify -4(7b+3) + 24b - 8, we will distribute the -4 and combine like terms.
-4(7b+3) + 24b - 8
= -28b - 12 + 24b - 8
= -4b - 20
Simplify 2(3v+9)−14−6(−5v−4) .
To simplify 2(3v+9)-14-6(-5v-4), we will distribute the coefficients and combine like terms.
2(3v+9) - 14 - 6(-5v-4)
= 6v + 18 - 14 + 30v + 24
= 36v + 28 + 24
= 36v + 52
−15+45(15e−10)−10e .(1 point) Responses
To simplify -15 + 45(15e - 10) - 10e, we will distribute the coefficients and combine like terms.
-15 + 45(15e - 10) - 10e
= -15 + 675e - 450 - 10e
= 665e - 465
srry wrong −15+45(15e−10)−10e .(1 point) Responses
It's not a problem! Let's try again to simplify -15 + 45(15e - 10) - 10e.
-15 + 45(15e - 10) - 10e
= -15 + 675e - 450 - 10e
= 675e - 10e - 450 - 15
= 665e - 465
wrong−15+45(15e−10)−10e .(1 point) Responses
Apologies for the confusion. Let's simplify -15 + 45(15e - 10) - 10e again.
-15 + 45(15e - 10) - 10e
= -15 + 675e - 450 - 10e
= (675e - 10e) + (-15 - 450)
= 665e - 465
Factor 48y+36z
To factor out the greatest common factor (GCF) from 48y and 36z, we first need to find the largest number that evenly divides both 48 and 36.
The prime factorization of 48 is 2 * 2 * 2 * 2 * 3, while the prime factorization of 36 is 2 * 2 * 3 * 3.
The GCF is therefore 2 * 2 * 3, which is 12.
We can rewrite 48y and 36z as 12 * 4y and 12 * 3z.
Therefore, we can factor 48y + 36z as 12(4y + 3z).