Algebra 1 Answer Check

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1. Simplify 49^3/2.

My answer: 343?

2. Simplify 5^ãx^25y^125.

My answer: x^5y^25?

3. When the polynomial 5x - 2x + 8x^2 - 7 is written in standard form, what is the leading coefficient?

My answer: -2?

4. Classify the polynomial 5x^2 + 9x + 1 according to tis degree and number of terms.

My answer: Quadratic trinomial?

5. Genie has 100 feet of fence with which to make a rectangular cage for her rabbit. If she uses the wall of her house as one side, the area of the cage in square feet is given by the polynomial -2x^2 + 100w, where w is the width of the cage in feet. What is the area of the cage if the width is 15 feet?

My answer: 1,050 feet?

6. Add (5x^2 - 2x + 9) + (2x^2 - 4).

My answer: 7x^4 - 2x + 5?

7. Subtract (10a^2 - 6a) - (7a^2 - 8a).

My answer: 3a^2 - 14a?

8. Multiply (-5rs^4)(3r^5s^2).

My answer: -15r^6s^6?

9. (3x - 4)^2

My answer: 6x^2 - 24x + 8?

10. (2x + 4)(2x - 4)

My answer: 4x^2 - 8?

  • Algebra 1 Answer Check -

    1. correct if you meant 49^(3/2)
    The way you typed it --- 117649/2

    2. can't read the question

    3. the leading term in standard notation would be 8x^2
    so leading coefficient is 8

    4. correct

    5. the x is undefined in your problem

    6. 7x^2 - 2x + 5, the exponent is not affected when adding like terms

    7. 3a^ + 2a

    8. correct

    9. 6x^2 - 24x + 16 , 4 x 4 = 16 not 8

    10. 4x^2 - 16

    looks like somebody has some serious studying to do.

  • Algebra 1 Answer Check -

    1.

    If 49^3/2 mean 49 ( 3 / 2 ) then:

    49 ( 3 / 2 ) = [ ( 49 ) ^ 3 ] ^ ( 1 / 2 ) =

    [ ( 49 ) ^ ( 1 / 2) ] ^ 3 =

    sqrt ( 49 ) ^ 3 =

    7 ^ 3 = 343

    Correct


    2. What is 5^ãx^25y^125 ?


    3.

    5 x - 2 x + 8 x ^ 2 - 7 =

    8 x ^ 2 + 3 x - 7

    In a polynomial, the coefficient of the term with the highest degree is called the leading coefficient.

    So the leading coefficient = 8


    4.

    Correct


    5.

    x = the length of the side parallel to the building

    w = the width of the cage


    x + 2 w = 100

    Subtract 2 w to both sides

    x + 2 w - 2 w = 100 - 2 w

    x = 100 - 2 w


    Area = length * width

    A = x * w =

    ( 100 - 2 w ) * w =

    100 w - 2 w ^ 2 =

    - 2 w ^ 2 + 100 w


    NOT ( - 2 x ^ 2 + 100 w )


    A = - 2 w ^ 2 + 100 w

    = - 2 * 15 ^ 2 + 100 * 15 =

    - 2 * 225 + 1500 =

    -450 + 1500 =

    1050 ft ^ 2



    6.

    ( 5 x ^ 2 - 2 x + 9 ) + ( 2 x ^ 2 - 4 ) =

    5 x ^ 2 - 2 x + 9 + 2 x ^ 2 - 4 =

    5 x ^ 2 + 2 x ^ 2 - 2 x + 9 - 4 =

    7 x ^ 2 - 2 x + 5


    7.

    ( 10 a ^ 2 - 6 a ) - ( 7 a ^ 2 - 8 a ) =

    10 a ^ 2 - 6 a - 7 a ^ 2 - ( - 8 a ) =

    10 a ^ 2 - 6 a - 7 a ^ 2 + 8 a =

    10 a ^ 2 - 7 a ^ 2 - 6 a + 8 a =

    3 a ^ 2 + 2 a


    8.

    Correct


    9.

    ( a - b ) ^ 2 = a ^ 2 - 2 * a * b + b ^ 2


    ( 3 x - 4 ) ^ 2 =

    ( 3 x ) ^ 2 - 2 * 3 x * 4 + 4 ^ 2 =

    9 x ^ 2 - 6 x * 4 + 16 =

    9 x ^ 2 - 24 x + 16


    10.

    ( 2 x + 4 ) * ( 2 x - 4 ) =

    2 x * 2 x + 2x * 4 - 4 * 2 x - 4 * 4 =

    4 x ^ 2 + 8 x - 8 x - 16 =

    4 x ^ 2 - 16

    OR

    ( a + b ) * ( a - b ) = a ^ 2 - b ^ 2


    ( 2 x + 4 ) * ( 2 x - 4 ) =

    ( 2 x ) ^ 2 - 4 ^ 2 =

    4 x ^ 2 - 16

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