To solve these problems, we must remember the distributive property. This property states that a coefficient being multiplied by a polynomial in parentheses is equal to the sum of the coefficient times each of the separate terms. Using this knowledge, let's begin with number 21:
-(4x + 17) + 3(7-x)
To begin, we should distribute the negative sign through the first set of parentheses and the coefficient of positive 3 through the second set of parentheses.
-4x - 17 + 21 - 3x
Next, we must combine like terms, or add/subtract the constants terms and the variable terms in order to create a more concise expression.
-7x + 4 (your answer)
Now, we can move on to question 22 and solve it in a similar manner:
7(2n-8) - 4(12 - 8n)
Again, we will distribute the coefficients through the parentheses. However, keep in mind that the coefficient in front of the second set of parentheses is actually a NEGATIVE 4, so we must distribute the negative as well.
14n - 56 - 48 + 32n
Next, we will combine like terms (add the n terms together and subtract the constant terms).
46n - 104
Now, we can solve problem 23:
8 + 2(5f - 3)
We will again distribute through the parentheses:
8 + 10f - 6
Combine like terms after that:
10f + 2
Therefore, your answers for the three problems are as follows:
21) -7x + 4
22) 46n - 104
23) 10f + 2
Hope this helps!
Answer:
X = -5
Step-by-step explanation:
Subtract one from both sides
- 3 = 3x / 5
multiply by 5 to remove fraction
-15 = 3x
divide by 3
x = -5
Answer:
30
Step-by-step explanation:
Answer:
Step-by-step explanation:
.5
Answer:
p=5
Step-by-step explanation:
3p-7+p=13
Add like terms.
3p+p-7=13
4p-7=13
Add 7 to both sides.
4p-7+7=13+7
4p=20
Divide 4 from both sides.
=
p=5
Hope this helps!
If not, I am sorry.