Test 1. Simultaneous equations on a graph

 1. Use the graph to solve the simultaneous equations.

x + y = 7

2x – y = –1

 а)  х = 5, у = 2;     
 b)  х = 3, у = 5;     

 c)  х = 2, у = 5;     

 d)  х = 2, у = 4.

 2. Use the graph to solve the simultaneous equations.

2x + y = 8

x + y = 5

 а)  х = 3, у = 2;     

 b)  х = 4, у = 2;     

 c)  х = 3, у = 1;     

 d)  х = 2, у = 3.

 3. Use the graph to solve the simultaneous equations.

x + y = 5

x – y = –5

 а)  х = 1, у = 5;     

 b)  х = 0, у = 5;     

 c)  х = 5, у = 0;     

 d)  х = 0, у = 4.

 4. Use the graph to solve the simultaneous equations.

2x + y = 8

x – y = –5

 а)  х = 6, у = 1;     

 b)  х = 2, у = 6;     

 c)  х = 1, у = 4;     

 d)  х = 1, у = 6.

 5. Draw x and y axes from 0 to 9. Use the cover-up method to draw the line

3x + 4y = 24.

Use the cover-up method to draw the line

3x + 2y = 18.

Write down the solutions of the simultaneous equations

3x + 4y = 24

3x + 2y = 18.

 а)  х = 4, у = 3;     

 b)  х = 2, у = 3;     

 c)  х = 4, у = 2;     

 d)  х = 3, у = 4.

 6. Draw x and y axes from 0 to 6. Draw the lines x + y = 6 and y = x + 3. Solve the simultaneous equations

x + y = 6

y = x + 3.

 а)  х = 4¹/₂, у = 1¹/₂;     

 b)  х = 1¹/₂, у = 4;     

 c)  х = 1¹/₂, у = 4¹/₂;     

 d)  х = 1, у = 4¹/₂.

 7. Draw x and y axes from 0 to 5. Solve the simultaneous equations

x + y = 5

y = x + 2.

 а)  х = 1, у = 3¹/₂;     

 b)  х = 1¹/₂, у = 3¹/₂;     

 c)  х = 1¹/₂, у = 3;     

 d)  х = 3¹/₂, у = 1¹/₂.

 8. Draw x and y axes from 0 to 13. Solve the simultaneous equations

x + 2y = 11

2x + y = 13.

 а)  х = 5, у = 1;     

 b)  х = 4, у = 3;     

 c)  х = 3, у = 5;     

 d)  х = 5, у = 3.

 9. Use the graph to solve the simultaneous equations.

x + y = 11

x + 3y = 13

 а)  х = 10, у = 4;     

 b)  х = 10, у = 1;     

 c)  х = 12, у = 1;     

 d)  х = 1, у = 10.

10. Use the graph to solve the simultaneous equations.

x + y = 11

2x – y = –2

 а)  х = 3, у = 8;     

 b)  х = 1, у = 8;     

 c)  х = 8, у = 3;     

 d)  х = 3, у = 6.

11. Use the graph to solve the simultaneous equations.

x + 3y = 13

2x – y = –2

 а)  х = 4, у = 1;     

 b)  х = 2, у = 4;     

 c)  х = 1, у = 3;     

 d)  х = 1, у = 4.

12. Use the graph to solve the simultaneous equations.

x + y = 5

2y – x = 4

 а)  х = 2, у = 4;     

 b)  х = 1, у = 3;     

 c)  х = 2, у = 3;     

 d)  х = 3, у = 2.