Download Math 201 Test 2

Math 201 Test 2
Name____________________________________
No notes, books, cell phones, mp3 players, earphones, tablets, or translators are allowed during
the test.
I will not answer any questions during the test!
Instructions: There are 11 problems on the test. Choose 10 to have graded. Cross out the 1
problem that you do not want graded.
1. Solve. Graph (on a number line) and write set-builder and interval notation for your answer.
3  y  5
Solution_______
Graph_____________________________________
Set-builder Notation__________________________
Interval Notation_____________________________
2. Rod’s quiz grades are 79, 88, and 96. What scores on a fourth quiz will make his average
quiz grade at least 90?
3. Plot the group of points. (4, 2) , (6, 0) , ( 6,  2)
4. Graph the equations.
4a. y 
2
x5
3
4b. x  2
4c. y  4
5. Given the equation  2 x  4 y  12 ,
a. Find the y-intercept.
b. Find the x-intercept.
c. Graph.
6. At 8:00, Jodi rented a mountain bike. She returned the bike at 12:00, after cycling 20 miles.
Jodi paid $28 for the rental.
a. Find Jodi’s average speed, in miles per hour.
b. Find the rental rate, in dollars per hour.
7. Find the slope of the line containing the points (3, 7) and (9, 8) .
8. Write the slope-intercept equation for
a. the line containing the points ( 2,  1) and (1, 11).
b. the line containing the point (3, 1) and perpendicular to the line 2 x  3 y  4 .
9. Simplify. Assume that no denominator is zero. Write your answers using only positive
exponents.
12a14b 9
a.
7a 3b
6
4
7
2
b. (m n p )( m n
12
3
p )
 4x3 y 5
c. 
7
 3z



0
10. Convert to scientific notation.
a. 0.00932
11. Perform the indicated operation.
a. (4s 2  10st  5t 2 )  (9s 2  15st  11t 2 )
b. ( y 2  2)(5 y 4  y  8)
c. ( x  5) 2
d. (9 x  y )( 4 x  6 y )
5% Bonus: Show why a 0  1 (given a  0 ).
b. 860,000,000