Algebra 1

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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 -

    #1 ok
    #2 ok
    #3 8 (x^2 is the highest power, so goes first)
    Although since you have 5x-2x I suspect a typo. If you meant -2x^3, then your answer is ok.
    #4 ok
    #5 ok, if x is replaced by w
    #6 ok
    #7 no: -6-(-8) = +2
    #8 ok
    #9 no.
    (3x-4)(3x-4) = 9x^2-24x+16
    square the 1st and last values. You squared the power, but added the coefficients.
    (3x)(3x) = 9x^2, not 6x^2
    #10 same problem
    (2x)^2 = 4x^2 because 2^2=4, not because 2+2=4
    4^2 = 16, not 8
    4x^2-16

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