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1. Which of the following is the graph of 3x + 7y = 21 A. B. C. D. 2. 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. A. 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: A. Domain [-2, -.5]; Range [-1, 0] B. Domain ; Range [0, 3] C. Domain [-4, 2]; Range [-1, 3] D. 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

 

  1. Which of the following is the graph of 3x + 7y = 21

A.

 

 

 

B.

 

 

C.

 

 

D.

 

 

 

  1. 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:

 

 

 

  1. Domain  [-2, -.5]; Range [-1, 0]
  2. Domain  ; Range [0, 3]
  3. Domain [-4, 2]; Range [-1, 3]
  4. 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

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