Basically, a backfire is an explosion inside the exhaust or air intake system of a vehicle rather than in the combustion chamber, where it is supposed to be occurring. This usually occurs when the air to fuel mixture is incorrect and not all of the fuel is burned in the combustion chamber. This means that unburned fuel reaches the exhaust system and may ignite. This produces the well known loud noise and may result in a loss of momentum or power. Let’s take a look at some of the most common causes of a backfiring car.

What causes a car to backfire?
One of the most common causes of a car backfire is poor engine timing. Correct engine timing ensures the spark occurs at the right time and that the fuel burns correctly in the combustion chamber. In modern vehicles this is controlled by a computer system.

Problems with the fuel system such as low fuel pressure, blocked/clogged fuel filter, and an unreliable fuel pump can cause an incorrect air-to-fuel ratio. This may lead to engine trouble, including backfires.

In almost every vehicle manufactured today there is a device called a catalytic converter. This is designed to regulate the emissions by converting harmful substances before they are ejected from the exhaust. However, if this is damaged or removed it can cause backfires in the exhaust system.

There are many other causes of a car backfiring. If your vehicle is having this problem it should be checked by a qualified mechanic as soon as possible.

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Basic Math Questions

1. 5 + 2
2. 12 + 5
3. 55 – 41
4. 8 x 2
5. 10 x 5
6. 5 x 10
7. An acute angle _____ 90 degrees.
8. A right angle _____ 90 degrees.
9. An obtuse angle _____ 90 degrees but _____ 180 degrees.
10. How many degrees are there in a square?
11. How many degrees in a rectangle?
12. How many degrees in a triangle?
13. 8 + x = 12 (solve for x)
14. 7x = 14 (solve for x)
15. (7 + 2) x 5
16. 7 + 2 x 5
17. 121 x 1
18. If a man has 5 trees that each contain 8 apples, what is the total number of apples that he has?
19. Jane had 152 cows. She sold 47 to Charles. How many cows does Jane have now?
20. If I have 80 lollies and I want to give 20 people an equal amount of lollies, how many lollies will each person receive?
21. If I have 50 candy canes and give 6 candy canes to 7 different people, how many candy canes will I have left?
22. Write 0.95 as a percentage.
23. Write 55% in decimal form.
24. In American Football 6 points is scored from touchdowns, 1 from extra points and 3 from field goals. If a team scores 4 touchdowns, 3 extra points and 2 field goals what is their total score?
25. In cricket, the ‘strike rate’ is the number of runs a player hits in 100 balls. If a player hits 40 runs in 50 balls, what is his strike rate?
26. In Australian Rules Football (AFL) teams can score goals (worth 6 points) or behinds (worth 1 point). If a team scores 15 goals and 13 behinds, what is their total score?
27. An angle that is greater than 180 degrees, but less than 360 degrees, is called a…?

Answers:

1. 7
2. 17
3. 14
4. 16
5. 50
6. 50
7. is less than
8. is equal to
9. is greater than 90 but less than 180
10. 360
11. 360
12. 180
13. x=4
14. x=2
15. 45
16. 17
17. 121
18. 40 (5 x 8 OR 8 + 8 + 8 + 8 +
19. 105 (152 – 47)
20. 4 (80 divided by 20)
21. 8 (6 x 7 = 42 are given. So 50 – 42 = 8 are left)
22. 95%
23. 0.55
24. 33 (Touchdowns = 6 x 4 = 24. Extra Points = 3. Field Goals = 2 x 3 = 6. Total = 24 + 3 + 6)
25. 80 (40 in 50 balls = 80 in 100 balls)
26. 103 (Goals = 15 x 6 = 90. Behinds = 13. Total = 90 + 13)
27. Reflex angle

Please leave a comment and let me know how you went! Please tell me any other question I should add here!

Questions:

First Type: Solving Equations

Solve for x:

1. 4x = 8
2. 2x + 7 = 15
3. x + 6 = 6
4. 5 – (x + 2) = 10
5. 4x = 7 + 3x
6. 2x = 14 + 3x
7. 3x = 6 + 2x
8. 7x = 49
9. 2(x + 5)= 20
10. 10(2x + 7) = 90

Second Type: Addition and Subtraction (remember only like terms can be added and subtracted).

Simplify the Following:

1. 2x + 3y + 3x + 9y
2. 2x + 7xy + 12x
3. 3a + 3ab + 3ac + 3ad
4. 2a + 2b – 8b + 7ab + 5b
5. 3a + 4a + 5b
6. 3abcd + 3abc – 5abcd
7. 5 + 7a + 2 + 3a
8. a – a
9. x + 4 – 5x + 1
10. y + 2 + y

Third Type: Linear Equations

What is the slope and y-intercept of the following lines. Note, you do not have to draw them. Just get them in the form y = mx + c, where m = slope and c= y-intercept

1. y = 2x + 4
2. y = 5x -2
3. 2y = 8x -4
4. 3y = 6x – 7
5. 10y = 170x + 650
6. x + 6 = y
7. y + 3 = x
8. 2y + 6x = 1
9. y = 5 – x
10. x – y = 3

Answers:

Type One:

1. 2
2. 4
3. 0
4. -7
5. 7
6. -14
7. 6
8. 7
9. 5
10. 1

Type Two:

1. 5x + 12y
2. 14x + 7xy- could be written as 7x(2 + y)
3. 3a + 3ab + 3ac + 3ad- cannot be simplified as there are no like terms unless you factorize it to 3a(1 + b + c + d)
4. 7a + 7ab – b
5. 7a + 5b
6. 3abc – 2abcd- could be factorized to abc(3 – 2d)
7. 7 + 10a
8. 0
9. 5 – 4x
10. 2y + 2- factorize to 2(y + 1)

Type Three:

1. slope = 2, y-intercept = 4
2. slope = 5, y-intercept = -2
3. slope = 4, y- intercept = -2
4. slope = 2, y-intercept = 7/3
5. slope = 17, y-intercept = 65
6. slope = 1, y-intercept = 6
7. slope = 1, y-intercept = -3
8. slope = -6, y-intercept = 1/2 (or 0.5)
9. slope = -1, y-intercept = 5
10. slope = 1, y-intercept = -3

Please leave a comment and tell me how you went or suggest some more algebra problems I could add!

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1. What is 75 x 54?
2. What is 12 x 19?
3. What is 2/4 + 3/4?
4. What is 1/2 + 3/4?
5. What are the first four prime numbers?
6. Is 25 a prime number?
7. What is the square root of 16?
8. What is 546 + 328?
9. What is 476 – 358?
10. How many degrees in a triangle?
11. What is 5.67 + 2.89?
12. Round 5.66 to one decimal place.
13. Write 0.45 as a percentage.
14. What is 15 divided by 4?
15. Find x if x+4=8.
16. What is 6.5 – 4.8?
17. What is the only prime number that is an even number?
18. What is (5+4) x 10?
19. What is 5+4×10?
20. How many degrees in a square?

Answers:

1. 4050
2. 228
3. 5/4 or 1 1/4 (1 and a quarter)
4. 5/4 or 1 1/4
5. 2, 3, 5, 7 and 11.
6. No. 25 can be divided by 5.
7. 4
8. 874
9. 118
10. 180
11. 8.56
12. 5.7
13. 45%
14. 4 r 3 (4 remainder 3)
15. x=4
16. 1.7
17. 2
18. 90
19. 45 (must do the multiplication before the addition)
20. 360

Hope you got all the questions right! If you have any other questions (or want to test me) then leave a comment!

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