Her Lung Capacity Is Approximately 5.15 Liters

1. Collect like terms. -2x
2. The polynomial 0.041h -0.018a-2.69 can be used to estimate the lung capacity, in liters, of a female with height h, in centimeters, and age a in years. Find the lung capacity of a 20-year-old woman who is 200 centimeters tall (Round to the nearest hundredth).

Her lung capacity is approximately 5.15 liters.

1. Complete the table below for the polynomial.

Term / Coefficient / Degree of Term / Degree of Polynomial
-9x^4 / -9 / 4 / 4
8x^3 / 8 / 3
-2x^2 / -2 / 2
9x / 9 / 1
-4 / -4 / 0

4. Blank

5. Simplify 4 (Use integer or fraction).

6. Find two algebraic expressions for the area of the figure below. First, regard as one large rectangle, then as a sum of four smaller rectangles.

Z 10
Z / 10
10 10

Simplify expression for area of large rectangle (z+10)(z+10)

Simplify expression for area of four smaller rectangles z^2 + 10z + 10z + 100

7. Multiply. 7y^4 – 7y^3 – 25y^2 + 28y - 12

(Simplify)

8. Evaluate

= 729 (Simplify integer or decimal)

9. Divide and check. Write answer using non-negative exponents.

The quotient is ______3 over x^3______

(Simplify exponential notation using positive exponents)

10. Multiply. The answer is 64x^14 - 1

11. Multiply and simplify 7^33

(Enter exponential notation using positive exponents)

12.  Add 2x^6

(Simplify)

13.  Factor and check by multiplying. x^8(x+8)

14.  Convert to decimal notation. 84100000

(Simplify integer or decimal)

15.  Complete the following rectangle to illustrate this product

X 8

Purple
2x / gray
16
Pink
X^2 / purple
8x

A 2

b X

16.  Multiply 4t^2-9

(Simplify)

17. Multiply 18-29x+3x^2

(Simplify)

18. Factor completely (a-5)(3a-1)

(Answer N if trinomial is not factorable)

19.  Factor by grouping (x - 5)(7x^2-6)

20.  Divide and simplify z^4

(Use exponential notation and positive exponents)

21. Divide 2x^2-6x-3

(Simplify)

22. Find the GCF for the = -x^4

(Simplify)

23.  Add 3r+12

24.  Solve w= -8,-2

(Use comma to separate. Answer N if no solution)

25.  Factor the trinomial (s-5)(s-9)

(Enter N If not factorable)

26.  Solve The solution is -9, 5

(Comma to separate N for no solution)

27.  Multiply 1/12 x^4

28.  The mass of Mars is about metric tons. The mass of the Sun is about metric tons. About how many times the mass of Mars is the mass of the Sun? Give answer in scientific notation.

The mass of the Sun is about 3.111 * 10^6 times the mass of Mars.

(Round to nearest thousandth as needed. Use scientific notation.

Use multiplication symbol in math palette as needed.)

29.  Simplify. Assume that. choose the simplified form.

A B C D Answer is D

30.  Blank

31.  The base of a triangle is greater than the height. The area is.

Find the height and length of the base.

h = 8

l = 11

H+3

32.  Subtract 5.8x^3+8.6x^2-3.4x-34

(Simplify. Enter coefficients as integers or decimals.)

33.  Simplify f^54 (Enter exponential notation using positive exponents.)

34. Divide and check 3x^5-4x^2+8

(simplify)

35. Subtract Answer -4a-5b-9c+9d

36. Simplify A. 64 B 1/64

C 1/64 D 64

E -64 F 64