1. Collect like terms. 5x - 7x  -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.
3. Complete the table below for the polynomial.  9 x 4  8 x 3  2 x 2  9 x  4
Term
Coefficient
-9x^4
-9
Degree of
Term
4
8x^3
8
3
-2
2
9x
9
1
-4
-4
0
Degree of
Polynomial
4
-2x^2
4.
Blank
5. Simplify
1
 4 (Use integer or fraction).
2 2
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
10
Z
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. ( y 2  4)(7 y 2  7 y  3)  7y^4 – 7y^3 – 25y^2 + 28y - 12
(Simplify)
8. Evaluate v 3 when v  9
= 729
(Simplify integer or decimal)
9. Divide and check.
6x 2 y 2
Write answer using non-negative exponents.
3x 5 y 2
The quotient is _________________3 over x^3____________________________
(Simplify exponential notation using positive exponents)
10. Multiply. (8 x 7  1)(8 x 7  1) The answer is 64x^14 - 1
11. Multiply and simplify 718  715  7^33
(Enter exponential notation using positive exponents)
12. Add ( x 6  3)  ( x 6  3)  2x^6
(Simplify)
13. Factor and check by multiplying. x 9  8x 8  x^8(x+8)
14. Convert to decimal notation. 8.41  10 7  84100000
(Simplify integer or decimal)
15. Complete the following rectangle to illustrate this product ( x  8)( x  2)
A 2
b
X
X
Purple
2x
8
gray
16
Pink
X^2
purple
8x
16. Multiply (2t  3)( 2t  3)  4t^2-9
(Simplify)
17. Multiply (9  x)( 2  3x)  18-29x+3x^2
(Simplify)
18. Factor completely 3a 2  16a  5  (a-5)(3a-1)
(Answer N if trinomial is not factorable)
19. Factor by grouping 7 x 3  35 x 2  6 x  30  (x - 5)(7x^2-6)
20. Divide and simplify
21. Divide
z8
 z^4
z4
(Use exponential notation and positive exponents)
18 x 3  50 x 2  39 x  6
 2x^2-6x-3
9x  2
(Simplify)
22. Find the GCF for the  x 9 ,3x 4 ,15x 7 = -x^4
(Simplify)
23. Add (r  5s  5)  (2r  4s)  ( s  7)  3r+12
24. Solve 10 w  w 2  16  0 w= -8,-2
(Use comma to separate. Answer N if no solution)
25. Factor the trinomial s 2  14s  45  (s-5)(s-9)
(Enter N If not factorable)
26. Solve s 2  4 s  45  0 The solution is -9, 5
(Comma to separate N for no solution)
1
1
27. Multiply ( x 3 )(  x)  1/12 x^4
4
3
28. The mass of Mars is about 6.421  10 20 metric tons. The mass of the Sun is about
1.998  10 27 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 p  0 . (4 p 2 ) 3 choose the simplified form.
A
1
B 64 p 6
6
64 p
C 4 p 6
D
64
Answer is D
p6
30. Blank
31. The base of a triangle is 3cm greater than the height. The area is 44cm 2 .
Find the height and length of the base.
h=8
l = 11
H+3
32. Subtract (1.5x 3  4.4x 2 - 3.4x) - (-4.3x 3 - 4.2x 2  34)  5.8x^3+8.6x^2-3.4x-34
(Simplify. Enter coefficients as integers or decimals.)
33. Simplify ( f
9 6
)
34. Divide and check
 f^54 (Enter exponential notation using positive exponents.)
15x^7 - 20x^4  40x^2
 3x^5-4x^2+8
5x2
(simplify)
35. Subtract (4a  4b  c)  (9b  8c  9d ) Answer -4a-5b-9c+9d
36. Simplify
A. 8 2  64
1
C ( }2  1/64
8
E  8 2  -64
B 8 2  1/64
1
D ( ) 2  64
8
F (-8)2  64