Уроки математики и физики (RU + UA)

суббота, 27 октября 2018 г.

Test 1. Simultaneous equations on a graph


 1. Use the graph to solve the simultaneous equations.

x + y = 7
2xy = –1
 ах = 5, у = 2;     
 bх = 3, у = 5;     
 c)  х = 2, у = 5;     
 dх = 2, у = 4.

 2. Use the graph to solve the simultaneous equations.

2x + y = 8
x + y = 5
 а)  х = 3, у = 2;     
 bх = 4, у = 2;     
 cх = 3, у = 1;     
 dх = 2, у = 3.

 3. Use the graph to solve the simultaneous equations.

x + y = 5
xy = –5
 ах = 1, у = 5;     
 b)  х = 0, у = 5;     
 cх = 5, у = 0;     
 dх = 0, у = 4.

 4. Use the graph to solve the simultaneous equations.

2x + y = 8
xy = –5
 ах = 6, у = 1;     
 bх = 2, у = 6;     
 cх = 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;     
 bх = 2, у = 3;     
 cх = 4, у = 2;     
 dх = 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.

 ах = 41/2, у = 11/2;     
 bх = 11/2, у = 4;     
 c)  х = 11/2, у = 41/2;     
 dх = 1, у = 41/2.

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

x + y = 5
y = x + 2.

 ах = 1, у = 31/2;     
 b)  х = 11/2, у = 31/2;     
 cх = 11/2, у = 3;     
 dх = 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.

 ах = 5, у = 1;     
 bх = 4, у = 3;     
 cх = 3, у = 5;     
 d)  х = 5, у = 3.

 9. Use the graph to solve the simultaneous equations.

x + y = 11
x + 3y = 13
 ах = 10, у = 4;     
 b)  х = 10, у = 1;     
 cх = 12, у = 1;     
 dх = 1, у = 10.

10. Use the graph to solve the simultaneous equations.

x + y = 11
2xy = –2
 а)  х = 3, у = 8;     
 bх = 1, у = 8;     
 cх = 8, у = 3;     
 dх = 3, у = 6.

11. Use the graph to solve the simultaneous equations.

x + 3y = 13
2xy = –2
 ах = 4, у = 1;     
 bх = 2, у = 4;     
 cх = 1, у = 3;     
 d)  х = 1, у = 4.

12. Use the graph to solve the simultaneous equations.

x + y = 5
2yx = 4
 ах = 2, у = 4;     
 bх = 1, у = 3;     
 c)  х = 2, у = 3;     
 dх = 3, у = 2.

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