Algebra 1
posted by Anonymous on .
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?

#1 ok
#2 ok
#3 8 (x^2 is the highest power, so goes first)
Although since you have 5x2x 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.
(3x4)(3x4) = 9x^224x+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^216