Math 1010 Section 5 Test1
Name:
Read all directions carefully and show all your work for full credit.
Each of the following questions is worth 10 points total. Your score on the exam will
consist of the 12 best scores on the following 14 questions taken out of a total of 120
points. Good Luck!!!
5
4
3
2
1. Perform the division 5x +23x +20xx+214x 10x+12
2. Use completing the square to solve x2 10x 7 = 0 for x.
3. Find all complex and real solutions to the equation.
x 3 x+2 = 0
x+2 x 5
4. Find all complex and real solutions to the equation.
p
p4 2
x + 5 4 3x2 + 8 = 0
5. Use the quadradic formula to solve 5z2 8z + 9 = 3
6
5
4
y3 5y2+9y+45 = 0
6. Solve the following equation for y. y +5y 9y 5y46+25
(Hint: multiply both sides by 5 rst)
3
2+56y +50
7. Perform the Division 24y +464yy+5
8. Multiply out the following expression and simplify.
(4a-3)(3a+6)(a+3)
p
3 x2 +1 x2 1
x
9. Find the domain of the function
x2 3x 2
p3
10. Use the rules of exponents to simplify the following.
4 2 4 6 2 2 2
2 (x 5) (y +y+1)
p
6 x2 5 3 y2+y+1
p
p
p
11. Factor the following polynomial completely. 3z3 6z2 z + 2
12. Find all solutions to the equation 12x9 30x8 + 9x7 = 0
8
13. Find all complex and real solutions to the equation x8 =
p2 1024
p 1024p2(Hint
p= 2
i=
try
p2 taking
p2 the square root of both sides repeatedly and i = 2 + 2 i ,
2
2 i)
14. Simplify the following radical expression and rationalize the denominator (Hint:
multiply the numerator and denominator by the denominator with a sign change)
3 5
p24xpy
2+ 3
p