MATHEMATICS MIDDLE SCHOOL

Please Help Me !!!!!!
1. Polynomials Add or subtract
(4x2 + 15x – 3) – (–3x2 + 5) (1 point)
A.7x2 + 15x – 8
B.x2 + 12x + 2
C.x2 + 15x – 8
D.7x2 + 8 2.
2. Simplify the polynomial.
–3f2 + 4f – 3 + 8f2 + 7f + 1 (1 point)
A.5f2 – 11f + 2
B.11f2 + 11f + 2
C.5f2 + 11f – 2
D.–5f2 + 11f – 2
3. Add or subtract
   (2x2 + 6x + 1) + (–7x2 + 2x – 3) (1 point)
  A.5x2 – 4x – 2
B.–5x2 + 8x – 2
C.5x2 – 8x + 2
D.–9x2 – 8x + 2
4. Name the coefficients in the polynomial.
    4x2 + 3x – 3 (1 point)
A.4, –3, –3
B.4, 3
C.4, 3, 3
D.–4, –3
5.   How many terms are in the following polynomial?
6x4 + 3x3 – 2x2 + 15x – 14 (1 point)  A. 5
B.4
C.3
D.2
6. In the expression –7x – 5x2 + 5, what is the coefficient of x? (1 point)
A.7
B.5
C.–5
D. -7

7. Write the expression using scientific notation.
    (2.5 • 104)(4 • 103) (1 point)
A.10 • 107
B.10 • 108
C.1 • 108
D.10 • 1012
8. Write the expression using a single exponent.
22 • 28 (1 point)
A.410
B.210
C.416
D.216

Answers

Answer 1

Answer:

Answer:

(1) A

(2) C

(3) B

(4) The coefficients are 4,3,-3.

(5) A

(6) D

(7) C

(8) B

Step-by-step explanation:

(1)

The given expression is

$(4x^2 + 15x - 3) - (-3x^2 + 5)$

Using distributive property.

$(4x^2 + 15x - 3) - (-3x^2) -( 5)$

$4x^2 + 15x - 3 + 3x^2 - 5$

On combining like terms.

$(4x^2+3x^2) + 15x +(- 3 - 5)$

$7x^2 + 15x-8$

Therefore, the correct option is A.

(2)

The given expression is

$-3f^2 + 4f - 3 + 8f^2 + 7f + 1$

On combining like terms.

$(-3f^2+ 8f^2) +( 4f + 7f )+(- 3 + 1)$

$5f^2 +11f -2$

Therefore, the correct option is C.

(3)

The given expression is

$(2x^2 + 6x + 1) + (-7x^2 + 2x - 3)$

Combined like terms.

$(2x^2-7x^2) + (6x+ 2x) + (1 - 3)$

$-5x^2 + 8x -2$

Therefore, the correct option is B.

(4)

The given expression is

$4x^2 + 3x - 3$

A number before variable terms are called coefficient of that term.

Therefore, the coefficients are 4,3,-3.

(5)

The given expression is

$6x^4 + 3x^3 - 2x^2 + 15x - 14$

It this polynomial, the number of terms is 5.

Therefore the correct option is A.

(6)

The given expression is

$-7x - 5x^2 + 5$

The coefficient to x is -7.

Therefore, the correct option is D.

(7)

The given expression is

$(2.5\cdot 10^4)(4\cdot 10^3)$

$(2.5\cdot 4)\cdot (10^4\cdot 10^3)$

Using product property of exponent.

$(10)\cdot 10^(4+3)$

$1\cdot 10^(1+4+3)$

$1\cdot 10^(8)$

Therefore, the correct option is C.

(8)

The given expression is

$2^2\cdot 2^8$

Using product property of exponent.

$2^(2+8)$

$2^(10)$

Therefore, the correct option is B.

Answer 2

Answer: $1.\n(4x^2+15x-3)-(-3x^2+5)\n=4x^2+15x-3+3x^2-5\n=7x^2+15x-8\leftarrow A.$

$2.\n-3f^2+4f-3+8f^2+7f+1\n=5f^2+11f-2\leftarrow C.$

$3.\n(2x^2+6x+1)+(-7x^2+2x-3)\n=2x^2+6x+1-7x^2+2x-3\n=-5x^2+8x-2\leftarrow B.$

$4.\n4x^2+3x-3\n\{4;\ 3;-3\}$

$5.\n6x^4+3x^3-2x^2+15x-14\n\{6;\ 3;-2;\ 15;-14\}\to5\leftarrow A.$

$6.\n-7x-5x^2+5\n\{-7\}\leftarrow D.$

$7.\n(2.5\cdot10^4)(4\cdot10^3)=2.5\cdot4\cdot10^(4+3)=10\cdot10^7\n=10^(1+7)=10^8=1\cdot10^8\leftarrow C.$

$8.\n2^2\cdot2^8=2^(2+8)=2^(10)\leftarrow B.$

Related Questions

A new roll of wrapping paper has 6 5/8 yards of paper. Drew used 2 1/6 yards from the roll to wrap a gift. Which equation most closely estimates the number of yards of wrapping paper left on the roll?
Which expression has been simplified correctly? Show work.(-3g)^4=-81g^4 (w^3x^2y^2)(w^2x^3y)=w^5x^5y^3 12y^6 ------- = 3y^3 4y^2 (a^3b^5)^2 = a^5b^7
In a group of 48 children there are three times as many boys as girls. how many girls are there
What is the volume of the rectangular prism?183 in³234 in³540 in³784 in³rectangular prism with length labeled 18 in., width labeled 10 in. and height labeled 3 in.
Whats 27h divided by 3h in standard form

A perfume manufacturer uses 0.875 pounds of rose petals to make each bottle of perfume. How many pounds of rose petals would be needed to make 86 bottles of perume???

Answers

To solve this problem
Let X be pounds of rose petals needed.
ATQ
0.875 pounds of rose petals are in 1 bottle.
So, 0.875 / 1 = X / 86
( because we have to find how many petals {in pounds}are there in 86 perfume bottles )
cross muliplying both side.
0.875 * 86 = X
75.25 = X
So, there are 75.25 pounds of petals in 86 perfume bottles.

86 bottles of perfume* (0.875 pounds of rose petals/ 1 bottle of perfume)= 75.25 pounds of rose petals.

The correct answer is 75.25 pounds of rose petals~

Michelle has $12.30 in her purse in 1 cent 5 cent and 25 cent coins. if she has an equal number of each coin type how many coins does Michelle have in her purse?

Answers

$x-number\ of\ each\ coin\ type\n \n0.01+0.25+0.05=0.31\n \n 12.30:0.31=39.6774193548\n \nI\ think\ it \ should\ be\ \ \ \ \$12.40\n \n12.40:0.31=40\ \ \ \Rightarrow\ \ \ 40\cdot3=120\n \nAns.\ Michelle\ have\ in\ her\ purse\ 120\ coins .$

48 quarters is $12
5 nickels is .25
5 pennies is .5
the total is $12.30

The area of a rectangle is ${96}^(2)$
in
the length of the rectangle is 8 inches. Find the perimeter of the rectangle. show all of your work for full credit.

Answers

Answer:

It is 40 in.

Step-by-step explanation:

1) 96 divided by 8 = 12, which means that is what multiplied with.

2) 8+8+12+12= 40

3) hope that helps!!!

PLZ HELP 20 POINTS!

What is7√2 in simplest radical form?

Answers

9.8 I think... I hope this helps in any way

Consider the following formula:

ax-bc+y=z

What represents the formula for x?

Answers

Answer:

x = (z-y)/(a-b)

Step-by-step explanation:

Given ax-bx+y=z, we are asked to isolate x. To do so, first take common factor between the first and the second terms

ax-bx+y=z

(a-b)*x+y = z

Then, isolate the x term by subtracting y at both sides

(a-b)*x+y-y = z-y

(a-b)*x = z-y

Finally, divide by (a-b) at both sides

(a-b)*x/(a-b) = (z-y)/(a-b)

x = (z-y)/(a-b)

Answer: z-y+bc/a

Step-by-step explanation:

ax-bc+y=z

ax-bc=z-y

ax=z-y+bc

x=z-y+bc/a

Use the figure to find each ratio in simplest form.PO/PS=

2/5
3/5
3/8

Answers

Answer:

3/5

Step-by-step explanation:

PO/OS=6/10=(3*2)/(5*2)=3/5

Answer:

The answer is 3/5

Other Questions

how many boxes on the shape of 1-meter cubes could you fit on a shipping container that has the dimensions 2 meters wide by 10 meters long by 3 meters high?A: 40boxes but how much material is needed to make this shipping container

Ava can text 44 words each minute. How many words can she text in 8 minutes

Susan joined a video rental club. She paid an initiation fee of $12.75, and it costy $0.75 per video that she rented.Part A:-write an equasion to show the total amount susan paid to rent v videos.Part B:-while she was a member of the club , susan paid a total of $105.75. how many videos did she rent?

Please Help!Three years ago, Jolene bought $875 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 6 1/2% per year. How much is the stock worth now? Round the answer to the nearest cent. The stock is worth $_______now.