# Questions on Algebra: Evaluation of expressions, parentheses answered by real tutors!

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Question 994474: What are all possible factors of a^6-b^6?

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.....use the rule for factoring and : and
so, we have:

Question 994245:
_4_
-6+3(2)-1=? The 4 goes over the 3(2) in fraction form..
_4_ _2_
I worked it and got to -6+ 6 -1 = -6+ 3 -1
The 4 goes over the +6 and the 2 goes over the +3 in fraction form. Not sure if you can see it like I typed it. I apologize.
But I can't figure out if I'm doing that right and where to go from there

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if the goes over the and the goes over the in fraction form, we have
...simplify , divide both numerator and denominator by
....write as

Question 993951: What are the solutions of -4(3x-5)+x<-2y-27 when y=4
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-4(3x-5)+x<-2y-27
y=4
-12x+20+x<-8-27
-11x+20<-35
-11x<-55;; divide by -11 and change the inequality
x>5
===
Check
-4(10.01)+5<-35
-40.04+5 < -35
-35.04<-35
I used 10.01, but any number greater than 10 will work, If x=5, 10 would work.
-

Question 993801: How do i evaluate expresion with distributive property

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.
For example,

5*(8 + 2) = 5*8 + 5*2 = 40 + 10 = 50.

Question 993540: Last weekend, the community theater performed a play in front of a paying audience of 274 people. Ticket prices were $5 per adult and$2 per child. The total revenue from ticket sales was $929. How many children were in the audience? Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! Simple application of linear system of equations. x, how many children y, how many adults Question 993503: Insert parentheses to make each equation true 14+2=6+2×3+2 Answer by solver91311(20879) (Show Source): You can put this solution on YOUR website! 14 plus 2 is 16. 3 plus 2 is 5; 2 times 5 is 10; 10 plus 6 is 16 John My calculator said it, I believe it, that settles it Question 993438: Kathy deposits money in two accounts and will make no further deposits or withdrawals. One account pays 6% annual interest and the other pays 7% annual interest. She deposits$200 more in the account earning 7% interest than she does in the account earning 6% interest. The total interest that she will earn in one year is $79. How much money is Kathy depositing in the account earning 6% interest? Answer by solver91311(20879) (Show Source): You can put this solution on YOUR website! A person has currency units invested in one account and invested in a second account. The first account earns percent interest, and the other account earns percent interest. The two accounts earn a total of interest in one year. How much is invested in each account? is the amount invested at percent and the amount invested at percent is , and: Substitute your values for , , , and , then solve for . John My calculator said it, I believe it, that settles it Question 992710: How do you solve (p^2-p-19)/(p-5) Answer by ikleyn(988) (Show Source): You can put this solution on YOUR website! . What to solve? There is no an equation here. Question 992618: How to evaluate 8y^3(-6y^5)(-2y^-4) Answer by ikleyn(988) (Show Source): Question 992382: Evaluate the expression -8(9-15) using the Distributive property. Explain Answer by solver91311(20879) (Show Source): You can put this solution on YOUR website! The Distributive Property of Multiplication over Addition: John My calculator said it, I believe it, that settles it Question 992197: When the sum of 525 and four times a positive number is subtracted from the square of the number, the result is 96. Find the number. Answer by stanbon(69061) (Show Source): You can put this solution on YOUR website! When the sum of 525 and four times a positive number is subtracted from the square of the number, the result is 96. Find the number. -------- x^2 - (525 + 4x) = 96 ---- x^2 - 4x - 621 = 0 -------------- x = 27 --------- Cheers, Stan H. ------------ Question 992188: 2X-2/3(6X-5/2)+1/3 Answer by stanbon(69061) (Show Source): You can put this solution on YOUR website! 2X-2/3(6X-5/2)+1/3 ----- 2X - 2*2X + (5/3) + (1/3) ----- = -2X + 2 --------------- Cheers, Stan H. ------------ Question 991980: Hi, I need solve next problem: a=2bx/1+b(x-1) and I have to isolate the variable x, some help please? Answer by macston(4006) (Show Source): You can put this solution on YOUR website! . I think your equation is: . Question 991883: Simplify: cubed root of -54 = Answer by Alan3354(47455) (Show Source): You can put this solution on YOUR website! Simplify: cubed [sic] root of -54 ----- It's cube root. = Question 991521: What is the perimeter of a triangle with sides of 2x+4, 2x+3 and 2x Answer by Timnewman(249) (Show Source): You can put this solution on YOUR website! The perimeter of the triangle is p=2x+4+2x+3+2x p=6x+7. Question 991504: I'm confused on my homework it say evaluate the expression and I don't no what that meas and in the order of operations there are fractions and I don't no how to do that either Answer by solver91311(20879) (Show Source): You can put this solution on YOUR website! Evaluate the expression means to substitute any given values for the variable(s) and then do the arithmetic. John My calculator said it, I believe it, that settles it Question 991394: Stuck with this problem. Can you please help me X+4-2(1/2x+3) Answer by Alan3354(47455) (Show Source): You can put this solution on YOUR website! You didn't say what you want to do. --------- Also, what's the denominator? 2 ? 2x ? 2x + 3 ? Question 991184: (B 3rd power)9th power Answer by farohw(153) (Show Source): You can put this solution on YOUR website! (B 3rd power)9th power = Multiply exponents: = Question 991134: 4x6+3x2+4 Create an equivalent expression that includes a set of parenthesis so that the value of the expression is 48 Found 2 solutions by Theo, solver91311: Answer by Theo(5548) (Show Source): You can put this solution on YOUR website! you should use * to indicate multiplication rather than x. this avoids confusion between a variable called x and the multiplication symbol. your expression is 3*6 + 3*2 + 4 without parentheses this becomes 18 + 6 + 4 which is equal to 28. place the parentheses as shown below and it will be equal to 48 as desired. 3 * (6 + 3*2 + 4) the expression inside the parentheses becomes: 6 + 6 + 4 which becomes 12 + 4 which becomes 16. 3 * 16 = 48. Answer by solver91311(20879) (Show Source): You can put this solution on YOUR website! Do not use "x" to indicate multiplication. Use "*" (Shift-8). "x" gets confused with the variable x. An "equivalent" expression is just that, equivalent. By the order of operations, your expression has a value of 34. Any equivalent expression, by definition must have a value of 34, otherwise it isn't equivalent. And to add insult to injury, no possible configuration of A set of parentheses can transform the given expression into an expression that has a value of 48, presuming the order of numbers and operations must remain the same. John My calculator said it, I believe it, that settles it Question 991168: Write an expression for Frank had$25 in his checking account. He withdrew $15 cash and$ 9 to pay a bill.

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"Frank is down to his last buck."

John

My calculator said it, I believe it, that settles it

Question 991231: Why would 8n-(n-3) = 7n+3 ??

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8n - (n-3) = 8n - n + 3 = 7n + 3
you must distribute the - sign across (n-3)

Question 991133: HOW TO USE THE NUMBERS 2,4,6,8, 10 WITH A OPERATION SIGNS AND GROUPING SYMBOLS TO WRITE A EXPRESSION EQUAL TO 0.
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Don't type in all CAPS.

Question 991084: Factor:
2x^3z-4x^2z+18xz-36z

Question 990921: Find the values of x satisfying the given conditions.
y1 = 2x/x-8, y2 = 3/x+7, y1 + y2 = 1

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, ,
given condition:

solutions:
if =>
if =>
check:
=>
=>
=>
given condition: =>
now you can check for =>

Question 990813: Solve for x.
(2𝑥−3/2) (-𝑥+13) = 3𝑥−84

Question 990814: Solve for x.
(2𝑥−3/2) (-𝑥+1/3) = (3𝑥−8/4)

Question 990702: A quantity its 3/4, its 1/3, and its 1/5, added together, become 29. What is the quantity?
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.
Are you sure you correctly wrote the condition?

Thank you.

Question 990604: I need to translate 1/5 of a number K into an algebraic expression
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The algebraic expression of that is nothing but k/5
HOPE THIS HELPS?

Question 990452: What is a algebraic expression for 12x

Question 990359: The work sheet ask to replace each • with <,> , or = to make a true sentences. Ex. 3/10 • 2/9
So which is greater or lesser.

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Change both fractions to a common denominator and then compare the numerators. You don't actually have to find the lowest common denominator.

10 times 9 is 90, so your first fraction converts to 27/90 and the second one converts to 20/90. 27 is larger than 20.

John

My calculator said it, I believe it, that settles it

Question 990142: If f(x)=2x-5 and g(x)=1+x^2, then what is equal to f(g(3))?
b. 2
c. 10
d. 15
e. 16

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Form the composition function and assign 3 to x, and evaluate!
SIMPLIFY the composition function before assigning the value for x.

Question 990099: What is (32-20)÷4

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(32-10)/4=12/4
=3

Question 990100: Evaluate:x^2-2(x-3) when x=3
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Hi dear,
To evaluate x^2-2(x-3) at x=3,
All you need to do is to put x=3 in the expression as follows:
3²-2(3-3)
=9-2(0)
=9-0
=9
GOOD LUCK!

Question 989709: 2k^4 * (3k)^2
I got the answer of 18k^6, but I don't know how. I used a calculator and it doesn't show the steps. Can you please show the steps on how it's 18k?

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Review the laws of exponents.

----------this is what you found. Using a calculator would be meaningless for this expression.

Focus on applying properties of numbers, and not so much on steps.

Question 989682: How do you solve this algebra equation?
9k + 6 = 8k + 13

Found 3 solutions by MathTherapy, ikleyn, josgarithmetic:
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How do you solve this algebra equation?
9k + 6 = 8k + 13
Subtract 8k from both sides
Subtract 6 from both sides
This should give you the value for k, after combination of the like-terms on each side



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.
Distract 8k from both sides.

You will get

k + 6 = 13.

Distract 6 from both sides. You will get

k = 13 - 6 = 7.

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.(supply the step)
.(supply the step)
k=7

That can be done in one step or two steps.
That was the response. Use the properties.

----
My earlier "answer" of 19 was wrong. k=7 is the true answer. I did the steps in my head, and did not catch my mistake while handling these steps.

Question 989518: 8 x 4 - 3 +1 = 0
Where do I insert parentheses to make this correct?

Found 2 solutions by macston, solver91311:
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.
8 x (4 - (3 +1)) = 0

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John

My calculator said it, I believe it, that settles it

Question 989034: Finding first expression
Determine the frist expression to evaluate In each problem
Ex) 5+(8×5)+72÷8. Answer for this is 8×5
1)5+9+10+16÷4
So what at I'm trying to figure out is what do I have to do please help me

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Finding first expression
Determine the frist expression to evaluate
In each problem Ex) 5+(8×5)+72÷8. Answer for this is 8×5
----
Note: These are "order of operation" problems.
The proper order is PEMDAS which means parentheses,exponents,Multiplication,
---------------------
1)5+9+10+16÷4
Ans: There are no parentheses
There are no exponents
There is no multiplication
There IS division, so the answer is 16/4
----------------------------------------
Cheers,
Stan H.
----------

Question 988995: 1.)When the expression x^3+mx^2+nx-5 is divided by x+2 and x+3, the remainders are 2 and 13 respectively. Find the values of m and n.
2)When P(x)=x^2+ax-b is divided by x-1, the remainder is 6. When P(x) is divided by x+2, the remainder is 3. Find the values of a and b.

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When a polynomial is divided by (where is any real number) is .

1)
If the remainder is when is divided by ,
then ---> .

If the remainder is when is divided by ,
then --->--->---> .
--->--->
--->--->--->
--->--->--->

2) Similarly,
--->--->
and --->--->--->
--->--->--->--->--->--->

Question 988713: evaluate the expression 20+3c+17d when c=8 and d=-2
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Replace c with 8
Replace d with -2
Then evaluate

20+3c+17d
20+3*8+17*(-2)
20+24-34
44-34
10

In the end, 20+3c+17d = 10 when c=8 and d=-2

Question 988499: TechWiz Electronics makes a profit of $35 for each MP3 player sold and$18 for each DVD player sold. Last week, TechWiz sold a combined total of 130 MP3 and DVD players. Let x be the number of MP3 players TechWiz sold last week. Write an expression for the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week.
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.
Total profit=$35x+$18(130-x)
Total profit=$35x+$2340-$18x Total profit=$17x+\$2340

Question 988463: -11/12+(-1/10) how do i evaluate that