1. Express without using any exponents.(2 pts each)

a.  (—1)⁴ a^-3 b⁴  
 

b.  7 x⁴y⁰

2. Express using exponential notation.
(2 pts each)

a.   2nnnnwww 

b.   8•8•xxxzzzzz 

c.  

3. Combine like terms: (2 pts each)

a.   8a — 4 — 15b + 7 + 14b + 4a
 

b.   y + 3y³ + 11y² + 9y + 7y³ — 2y²
 

c.   13wx — 11 + 7xw — 4xw — 4wx — 2
 

4. Carry out operations indicated and simplify: (3 pts each)

a.   
 
  b.  —1 — 4(— 8)
 

c.  3w²(5w⁴— 3w²) + 2 — 7w(w² + 3w)
 

d.  6(7 —  12  3) — 5• 3
 

e.  
 

f. (a — 7)(3a + 1)
 

5. Evaluate the following expressions if a = 4 and b = — 2 (3pts each)

a.  2ab —  b

b.  —3ab²— (—3a)²
 
 

6. Evaluate the following expression if m=0.12, n =3.01, p=0.024
(3 pts )

   nm + mp + np
 

7. Factor out the common factor then write an equivalent factored expression for the given_expression . (2 pts each)

a.  16xy — 12xz + 2x
 
 

b.  7a²b⁴c⁵ + 21ab⁵c³ — 14a³ — 14a³bc²
 
 

8. Solve each of the following equations and check your solutions. (2 pts each)

a.   w= 12
 

_{b.   0.7c = 81.4}
 
 

_{c.   5x  — 11 = 23}
 
 

_{d.  4(7x — 3) = 8 —  4x}
 
 

_{e. 5(9x  — 12) + 25 = 7x}
 
 

_{9. Solve these percentage problems. (3 pts each)}

_{a. Compute 84% of 70.}
 
 

_{b. Find w, if 72% of w is 126.}
 
 

_{10. Consider the equation 
(3 pts each)}

_{a. Express the given equation (above)
in a different form by solving the
given equation for m.}
 
 

_{b. Express the given equation (above)
in a different form by solving the
given equation for k.}
 
 

_{11. Express   in a different form by solving for c . (3 pts)}
 
 

_{12. Determine whether the numbers indicated are solutions to the equations given.  Give your answer by filling in each blank.
(2 pts each)}

 _{a. y = 3;      8y — 12 = 7y —  9}
 

    _{y = 3 _______a solution.
                     (is or is not)}
 
 

 _{b. w = —1;       5w + 3 = 2}
 

     _{w = —1_______a solution.
                       (is or is not)}
 

_{13. Specify the domain for each of the given functions. (2 pts each)}

 _a.  

_{domain_________}
 
 

_b.  

_{domain_________}
 
 

_{14. Plot the points with these coordinates. LABEL YOUR POINTS.}

_{(1 pt. each) A (6, 5), B (-3, 4), C (0, -2) D (5, -3), E (3, 0), F (3.4,  )}

15. Give the coordinates of these points. (2 pts each)
A(___,___), B(___,___), C(___,___)


 
 

16. Identify the coordinates of 3 points which are solutions to
  y = 3x + 1.
Make a table of values of these coordinates, plot these points, and sketch the graph of the solutions to the equation. (7 pts)

 
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Please direct all questions and inquiries to Lida McDowell at lida.mcdowell@usm.edu.