Free Linear Equations Test 1

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1. Solve for x: 3x + 5 = 20

   10
   5
   7
   3
   

2. Solve for x: (2x/3) + 7 = 13

   6
   8
   3
   9
   

3. Find the value of x and y: x + y = 10, x - y = 4

   x = 8, y = 2
   x = 5, y = 5
   x = 6, y = 4
   x = 7, y = 3
   

4. A train travels 60 km/h for 2 hours and 80 km/h for 3 hours. What is the average speed?

   75 km/h
   70 km/h
   72 km/h
   74 km/h
   

5. Solve for x: 5x - 3 < 2x + 7

   x > 5
   x < 5
   x ≤ 5
   x ≥ 5
   

6. Find x and y: 6x + 12y = 18 and 6x - 6y = 6.

   x = 1, y = 3
   x = 3, y = 1
   x = 2, y = 2
   x = 6, y = 3
   

7. Solve for x: 7x + 9 = 24

   7
   6
   8
   9
   

8. Solve for x: 8x + 10 = 26

   10
   7
   9
   8
   

9. Find x and y: 9x + 18y = 27 and 9x - 9y = 9.

   x = 2, y = 4
   x = 3, y = 3
   x = 4, y = 2
   x = 9, y = 4
   

10. A person invests 10000 at a simple interest rate of 10%. Find the interest earned in 10 years.

    1200
    1000
    1100
    800
    

11. Solve for x: 11x + 13 = 32

    12
    13
    11
    10
    

12. Find x and y: 12x + 24y = 36 and 12x - 12y = 12.

    x = 6, y = 3
    x = 12, y = 6
    x = 3, y = 6
    x = 4, y = 4
    

13. Solve for x: 13x + 15 = 36

    13
    12
    15
    14
    

14. Solve for x: 14x + 16 = 38

    13
    15
    16
    14
    

15. A person invests 15000 at a simple interest rate of 15%. Find the interest earned in 15 years.

    1800
    2700
    2250
    2475
    

16. Solve for x: 16x + 18 = 42

    18
    15
    16
    17
    

17. Solve for x: 17x + 19 = 44

    18
    16
    19
    17
    

18. Find x and y: 18x + 36y = 54 and 18x - 18y = 18.

    x = 4, y = 9
    x = 6, y = 6
    x = 9, y = 4
    x = 18, y = 9
    

19. Solve for x: 19x + 21 = 48

    18
    21
    19
    20
    

20. A person invests 20000 at a simple interest rate of 20%. Find the interest earned in 20 years.

    3200
    4800
    4400
    4000
    

21. Find x and y: 21x + 42y = 63 and 21x - 21y = 21.

    x = 7, y = 7
    x = 10, y = 5
    x = 5, y = 10
    x = 21, y = 10
    

22. Solve for x: 22x + 24 = 54

    24
    22
    23
    21
    

23. Solve for x: 23x + 25 = 56

    22
    24
    23
    25
    

24. Find x and y: 24x + 48y = 72 and 24x - 24y = 24.

    x = 12, y = 6
    x = 8, y = 8
    x = 24, y = 12
    x = 6, y = 12
    

25. A person invests 25000 at a simple interest rate of 25%. Find the interest earned in 25 years.

    6875
    7500
    5000
    6250
    

26. Solve for x: 26x + 28 = 62

    27
    26
    28
    25
    

27. Find x and y: 27x + 54y = 81 and 27x - 27y = 27.

    x = 6, y = 13
    x = 27, y = 13
    x = 9, y = 9
    x = 13, y = 6
    

28. Solve for x: 28x + 30 = 66

    28
    29
    30
    27
    

29. Solve for x: 29x + 31 = 68

    31
    30
    28
    29
    

30. A person invests 30000 at a simple interest rate of 30%. Find the interest earned in 30 years.

    9900
    10800
    7200
    9000