# Algebra 1

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1. Simplify 49^3/2.

2. Simplify 5^ãx^25y^125.

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

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

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?

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

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

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

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

9. (3x - 4)^2

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

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

• 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