1. Solve the following systems by substitution

     X + Y = 6

                        Y = 2x

 

2. The sum of two numbers is 140 and their difference is 20.  Find the numbers.

 

 

3. In which quadrant does the point (-3, 5) lie?

A. QI
B. QII
C. Q III
D. QIV
E. x-axis

 

 

4.  Find the slope of the line through the following pairs of points

(-3,2), (3,-2)

 

5. Find the slope of the line given pair of points (2,3), (3,5)

 

6. Solve the following system by graphing:

 

X – 2Y = -4

Y = - X - 1

 

7. Solve the following system:

 

            2X + Y =2

            X   - 3Y= 29

 

8. The sum of two numbers is 112 and their difference is 20.  Find the numbers.

 

9.  Find the x- and y- intercepts: 3x – 4y = – 12

 

10.    Find the equation of the line with the given slope and y-intercept

      m=-4, b=0

 

 

 

11. Complete the ordered pairs for the equation 3x + 6y = 12 and label the x-intercept and the y-intercept.       

 

(0,       )            (            , 0)                  (10,           )

 

12. By writing the word “yes” or “no”  in the blank indicate which of the following ordered pairs are solutions to the equation 4x + 2y = 16?

 

_____ (4, 0)     _____(0, 8)              _____ (-5, -2)            _____ (3, 4)              

 

13. Find the x-intercept and the y-intercept: y = -4x – 16          .

 

 

 

14. Graph and label: y = -2 and x = 3.  Your graph will have a horizontal line and a vertical line.

What is the point of intersection?  ______

 

15. Solve this system by graphing.     X +Y = 5

                                                            X-Y=  3

           

 

 

16. Find the x-intercept and the y-intercept: y = -8x – 40             

 

 

17. Find the x-intercept and the y-intercept: 10x – 6y = 30                      

 

 

18. Solve this system by graphing.

 

X + Y = 2

                                                                                   

X - Y = -6

 

 

 

19. Solve this system by graphing.                                                                        

 

X + 3Y = 12

Y = 2/3 X -2

 

 

 

 

20. Solve this system using the addition method.

 

X + 3Y = 8

-X + 4Y = 6

 

 

 

 

21. Solve this system using the addition method.

 

-2X + 5Y = 11

3X + Y = 9

 

 

 

22. Solve this system using the substitution method.

 

5X - Y = 6

Y = 3X -2

 

 

 

23. Solve this system using the substitution method.       

 

2X + 2Y = 14

-2X + Y = 1

 

 

 

24.  Tickets for a movie cost $7 for adults and $5 for children.  One afternoon 60 people bought tickets and ticket sales totaled $380.  How many adult tickets were sold?

                                                                                               

 

25. Adam has 26 coins whose value is $4.40.  If he has only dimes and quarters, how many of each kind of coin does he have?             

 

                       

26. Find the x- and y- intercepts: y = 5x – 10

                                                                                   

a) x-intercept 5, y-intercept -10                    b) x-intercept -2, y-intercept -10

 

c) x-intercept -5, y-intercept -10                   d) x-intercept 2, y-intercept -10

 

 

27. Find the x- and y- intercepts: 3x – 5y =  -15                                                                            

 

a) x-intercept 5, y-intercept 3                       b) x-intercept -5, y-intercept 3

 

c) x-intercept 5, y-intercept -3                      d) x-intercept -5, y-intercept -3

 

 

28. Solve the system:

 

3X + 2Y = 12

-2X + Y = -1

           

 

29. Solve the system:

 

X + 2Y = 1

3X - Y = 24

 

 

30. The sum of two numbers is 120 and their difference is 80.  Find the numbers.                 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Answers

 

 

  1. (2, 4)
  2. The two numbers are 80 and 60.
  3. B
  4. -2/3
  5. 2
  6. (-2, 1)
  7. (5, -8 )
  8. 66 and 46
  9. x-intercept -4, y-intercept 3
  10. Y = =-4x

 

  1. (0, 2) y-intercept, (4, 0) x-intercept, (10, -3)
  2.  yes, yes, no, no
  3. (0, -16) is y-intercept, (-4,0) x-intercept
  4.  (3,-2)
  5. (4, 1)
  6.  y-int (0,-40), x-int (-5,0)
  7.  y-int (0,-5), x-int (3,0)
  8.  (-2,4)
  9.  (6,2)
  10.  (2,2)
  11.  (2,3)
  12.  (2,4)
  13.  (2,5)
  14.  40
  15.  14 dimes, 12 quarters
  16.  d
  17.  b
  18.  (2, 3)
  19.  (7,-3) 
  20.  100 and 20