Simplify 6(3q-4)+18-12q-7(4q+5)
To simplify this expression, we can start by using the distributive property.
6(3q-4) + 18 - 12q - 7(4q+5)
= 18q - 24 + 18 - 12q - 28q - 35
= (18q - 12q - 28q) + (-24 + 18 - 35)
= -22q - 41
So the simplified expression is -22q - 41.
Simplify -5+3/4(8h+12)-10h
To simplify this expression, we can start by using the distributive property.
-5 + (3/4)(8h+12) - 10h
= -5 + (3/4)(8h) + (3/4)(12) - 10h
= -5 + (3/4)(8h) + 9 - 10h
Next, we can multiply (3/4)(8h) to get (3/4)(8h) = 6h.
So, the expression simplifies to:
= -5 + 6h + 9 - 10h
= -5 + 9 + 6h - 10h
= 4 - 4h
The simplified expression is 4 - 4h.
Wrong
Apologies for the mistake in the previous response. Let's simplify the expression again.
-5 + (3/4)(8h+12) - 10h
Using the distributive property, we can multiply (3/4) by both terms inside the parentheses:
-5 + (3/4)(8h) + (3/4)(12) - 10h
Simplifying the multiplication:
-5 + (6h) + (9) - 10h
Now we can combine like terms:
(-10h + 6h) - 5 + 9
Simplifying the subtraction:
-4h - 5 + 9
Combining like terms:
-4h + 4
So the simplified expression is -4h + 4.
Factor 24n-32 using the GCF
To factor 24n-32 using the greatest common factor (GCF), we first need to determine the GCF of the terms. The GCF of 24 and 32 is 8.
Now, we can rewrite 24n-32 as:
8(3n) - 8(4)
Using the distributive property, we can factor out the GCF:
8(3n - 4)
So the factored form of 24n-32 using the GCF is 8(3n - 4).
Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying
23-9(2x+5)+11x?
To apply the Distributive Property of Multiplication Over Addition correctly for simplifying 23-9(2x+5)+11x, we need to distribute the -9 to the terms inside the parentheses.
23 - 9(2x) - 9(5) + 11x
To simplify further, we can multiply:
23 - 18x - 45 + 11x
Now we can combine like terms:
(23 - 45) + (-18x + 11x)
-22 + (-7x)
So the correct answer that applies the Distributive Property of Multiplication Over Addition correctly is -22 - 7x.
The answers are
1. 14(2x+5+11x)
2. 23-18x-45+11x
3. 23-7x-4+11x
4. 14(2x+5)+11x