23 - 9(2x + 5) + 11x can be simplified by applying the Distributive Property of Multiplication Over Addition.
The correct answer would be:
23 - 18x - 45 + 11x.
Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x ?(1 point
9 answers
Simplify −4(7b+3)+24b−8 .(1 point)
To simplify -4(7b + 3) + 24b - 8, we can apply the Distributive Property of Multiplication Over Addition.
Multiply -4 by each term in the parentheses:
-4 * 7b = -28b
-4 * 3 = -12
The expression now becomes: -28b - 12 + 24b - 8.
Next, combine the like terms:
-28b + 24b = -4b
-12 - 8 = -20
The simplified expression is -4b - 20.
Multiply -4 by each term in the parentheses:
-4 * 7b = -28b
-4 * 3 = -12
The expression now becomes: -28b - 12 + 24b - 8.
Next, combine the like terms:
-28b + 24b = -4b
-12 - 8 = -20
The simplified expression is -4b - 20.
Simplify 2(3v+9)−14−6(−5v−4).(1 point)
To simplify 2(3v + 9) - 14 - 6(-5v - 4), we can apply the Distributive Property of Multiplication Over Addition.
Multiply 2 by each term in the first parentheses:
2 * 3v = 6v
2 * 9 = 18
The expression now becomes: 6v + 18 - 14 - 6(-5v - 4).
Multiply -6 by each term in the second parentheses:
-6 * -5v = 30v
-6 * -4 = 24
The expression now becomes: 6v + 18 - 14 - 30v - 24.
Combine the like terms:
6v - 30v = -24v
18 - 14 - 24 = -20
The simplified expression is -24v - 20.
Multiply 2 by each term in the first parentheses:
2 * 3v = 6v
2 * 9 = 18
The expression now becomes: 6v + 18 - 14 - 6(-5v - 4).
Multiply -6 by each term in the second parentheses:
-6 * -5v = 30v
-6 * -4 = 24
The expression now becomes: 6v + 18 - 14 - 30v - 24.
Combine the like terms:
6v - 30v = -24v
18 - 14 - 24 = -20
The simplified expression is -24v - 20.
−15+4/5(15e−10)−10e
To simplify -15 + 4/5(15e - 10) - 10e, we can apply the Distributive Property of Multiplication Over Addition.
Multiply 4/5 by each term inside the parentheses:
4/5 * 15e = 12e
4/5 * -10 = -8
The expression now becomes: -15 + 12e - 8 - 10e.
Combine like terms:
12e - 10e = 2e
-15 - 8 = -23
The simplified expression is 2e - 23.
Multiply 4/5 by each term inside the parentheses:
4/5 * 15e = 12e
4/5 * -10 = -8
The expression now becomes: -15 + 12e - 8 - 10e.
Combine like terms:
12e - 10e = 2e
-15 - 8 = -23
The simplified expression is 2e - 23.
Factor 48y+36z using the GCF
To factor 48y + 36z using the GCF (Greatest Common Factor), we need to find the largest number or variable that can divide both terms.
The GCF of 48y and 36z is 12 since both terms are divisible by 12.
So, we can factor out 12 from both terms:
48y can be written as 12 * 4y, and
36z can be written as 12 * 3z.
So, the expression 48y + 36z can be factored as 12(4y + 3z).
The GCF of 48y and 36z is 12 since both terms are divisible by 12.
So, we can factor out 12 from both terms:
48y can be written as 12 * 4y, and
36z can be written as 12 * 3z.
So, the expression 48y + 36z can be factored as 12(4y + 3z).
1 answer