- Which of the following is the graph of 3x + 7y = 21
A.
B.
C.
D.
- Write 3 points that are on the graph of y = x2.
3. Find the distance between (3, 5) and (-3, 8).
4. Findan equation of the circle with diameter, 6, and center (0, 1).
5. Find an equation of the circle whose endpoints of the diameter are
(3, 5) and (-1, -9).
6. Find the center and radius of the circle given by the equation,
(x – 4)2 + (y + 1)2 = 100
7. Which of the following graphs is a function.
B.
C.
D.
8. Given the function f( x ) = x3 – x + 20, find
each of the following.
(a) f( 5 )
(b) f( -2 )
(c) f( m )
(d) f( 2y )
9. Please choose which of A through D is the domain and range of the following
function:
- Domain [-2, -.5]; Range [-1, 0]
- Domain ; Range [0, 3]
- Domain [-4, 2]; Range [-1, 3]
- Domain [-1, 3]; Range [-4, 2]
10. The elevation E, in meters, above sea level at which the boiling point of
water is t degrees Celsius is given by the function
E(t) = 1000(100 – t) + 580(100 – t)2.
At what elevation is the boiling point 99.5 degrees?
11. Find the slope of the line that joins the points (-3, -4) and (5, 1).
12. Find the slope and y-intercept of the line given by the equation,
.
13. Write a slope-intercept equation for a line with m = -4.2 and y-intercept
of (0, 6).
14. Write a slope-intercept equation for a line passing through (-1, 5) and
(2, -4).
15. Determine whether the lines given by the equations 5x – y = -3 and
y = 5x +.2 are parallel, perpendicular, or neither.
16. Determine whether the lines given by the equations y = 2x and
y = -.5x are parallel, perpendicular, or neither.
17. Solve 4(3x + 2) – 7 = 3(x – 2) and then, check your answer under the
word, CHECK, below.
CHECK:
For #18 and #19, solve the inequality.
#18 8x – 7 < 6x + 3
19. 5 < x + 2 < 15
20. Tish Movers charges $100 plus $30 per hour to move a household across
town. Mundo Movers charges $55 per hour. For what lengths of time
does it cost less to hire Mundo Movers? Please write an appropriate