You can use symbols, letters, and equations in algebra to describe and change quantities that are unknown or variable. If you want to improve your ability to think logically and solve problems, algebra can be complicated but valuable. You may want to know how to do algebra questions faster and better whether you are a student, a teacher, or someone who teaches for a living.

Some tips and tricks in this piece will help you improve algebra and feel better about your problem-solving abilities.

Go over your basic math skills again. Before you can start learning algebra, you need to know how to do simple math like add, remove, multiply, and divide. These basic math skills are acquired in grade school before you can start learning algebra, and strengthening these skills will go a long way.

It will be hard to understand the more difficult ideas in math if you don't know how to do these things well.

You don't have to be very good at complex math operations to be able to do algebra questions. If you want to save time, many schools let you use a calculator for these easy tasks. But for times when you can't use a calculator, you should know how to do basic operations without one.

At first, it can be hard to figure out where to begin when trying to solve a math problem. There is a right way to solve these questions, though: do any math operations inside parentheses first, then do exponents, then multiply, then divide, then add, and finally subtract.

**PEMDAS** is an acronym that can help you remember this set of steps. To sum up, the steps are in this order:

- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction

It's important to know the right order of operations in math because sometimes the answer changes if you do the operations in the wrong order.

Here's an example: to solve 8 + 2 × 5, we can add 2 to 8 first and get 10 × 5 = 50. But to solve 8 + 10 = 18, we need to multiply 2 and 5. The right answer is only the second one.

Because negative numbers are used a lot in algebra, it's a good idea to go over how to add, subtract, multiply, and split negative numbers before you start to learn algebra. Here are some basic things you should remember about negative numbers.

- There is an equal distance between a negative number and zero on a number line, but it goes in the opposite way.
- Putting two negative numbers together makes the third number even more negative. This means that the digits will be higher, but the number itself is smaller because it is negative. For instance, -3 is smaller than -2.
- Two negative signs cancel each other out, so taking away a negative number is the same as adding a positive number.
- When you multiply two negative numbers, you get a positive number.
- When you multiply or divide a positive number by a negative number, you get a negative answer.

More Information: A-Level Math

Problems with easy algebra can be solved quickly, but problems with a lot of steps can take a long time to solve. To avoid making mistakes, keep your work neat by beginning a new line each time you take a step toward fixing your problem.

When you have a two-sided solution, try to put all the equals signs ("="s) below each other. It will be much easier to find and fix mistakes this way.

For example, to solve the equation 10/5 - 5 + 3 × 4, we might keep our problem organized like this:

=10/5 - 5 + 3 × 4

=10/5 - 5 + 12

=2 - 5 + 12

=2 + 7

=9

There will be more than just numbers in your algebra questions from now on. There will be letters and symbols, too. This is known as a variable. It's not as hard to understand variables as it might seem at first, as they're just ways to show numbers whose values are unknown.

Here are some examples of variables that you might see in algebra:

symbols such as a, b, c, x, y, and z; Greek symbols such as theta;

Keep in mind that not every sign is an unknown variable. In this case, pi, also written as π, always equals 3.14159.

**Solving Variables**

The idea of variables is like "unknown" numbers. As was already said, variables are just numbers whose meanings are unknown. That is, the equation can still work with a number in place of the variable. In most math problems, the variable is what you're trying to figure out. Think of it as a "mystery number" that you want to find.

The variable x is shown in the equation 6x + 7 = 10. This means that the left side of the solution can be set to 10 by replacing x with some other number. In this case, x = 0.5 because 6 x 0.5 + 7= 10.

Putting question marks in place of variables in math problems is a simple way to start learning about them. To give you an idea, we could write 6 + 3 + x = 15 as 6 + 3 +? = 15. This helps you understand what we need to do: we just need to figure out what number to add to 6 + 3 = 15 to get 15. Of course, the answer is again 6.

Here, we have listed some of the most important algebraic expressions:

- a2 – b2 = (a – b)(a + b)
- (a+b)2 = a2 + 2ab + b2
- a2 + b2 = (a – b)2 + 2ab
- (a – b)2 = a2 – 2ab + b2
- (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc
- (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc
- (a + b)3 = a3 + 3a2b + 3ab2 + b3 ,
- which can be also denoted as – (a + b)3 = a3 + b3 + 3ab(a + b)
- (a – b)3 = a3 – 3a2b + 3ab2 – b3
- a3 – b3 = (a – b)(a2 + ab + b2)
- a3 + b3 = (a + b)(a2 – ab + b2)
- (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)
- (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4)
- a4 – b4 = (a – b)(a + b)(a2 + b2)
- a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)

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Stop adding and start subtracting (and the other way around). As we saw above, getting x by itself on one side of the equals sign generally means getting rid of the numbers that are next to it. We use the "opposite" action on both sides of the equation to make this happen.

Let's look at the equation x + 5 = 0. Since there is a "+ 5" next to x, we will put a "- 5" on both sides. The "+" and "-" signs are taken away, leaving x and the number "-5" on the other side of the equals sign.

In a sense, adding and taking away are like "opposites"—do one to get rid of the other. Look below:

- For addition:

x + 5 = 6

x = 6 - 5

- For subtraction:

x - 9 = 10

x = 10 + 9

Don't multiply and divide at the same time. You can use the same idea with multiplication and division if you know how to add and subtract. If you see a "× 3" on one side, take the value of both sides and divide them by 3.

When you multiply or divide, you have to do the opposite action on everything on the other side of the equals sign, even if there is more than one number there. Look below:

Divide instead of multiply. Such as:

8x = 10 + 2

x = (10 + 2)/8

To divide, multiply. If

x/2 = 20

x = 20 × 2

Get rid of exponents by finding the root. Exponents are a pretty advanced algebra topic. An exponent's "opposite" is the root that has the same number as it. A square root (√) is the opposite of a 2 exponent, a cube root (3√) is the opposite of a 3 exponent, and so on.

It might be a little hard to understand, but when you deal with an exponent, you take the root of both sides. When you work with a root, on the other hand, you take the exponent of both sides. Look below:

To find an exponent, take the root. If x2 = 64, then x = √64.

Take the exponent to find the roots. As an example, x = 100 if √x = 10.

Enhance your skills. Consider factoring once you feel comfortable with simple algebra. Factoring is one of the hardest skills in mathematics because it's a quick way to turn complicated equations into simple ones. Here are a few quick ways to factor equations:

- Equations with the form ax + ba factor to a(x + b). Example: 4x + 10 = 2(2x + 5)
- Equations with the form ax2 + bx factor to cx((a/c)x + (b/c)) where c is the biggest number that divides into a and b evenly. Example: 5y2 + 15y = 5y(y + 3)
- Equations with the form x2 + bx + c factor to (x + y)(x + z) where y × z = c and yx + zx = bx. Example: x2 + 6x + 5 = (x + 5)(x + 1).

When you check your answer in math, you can almost always tell if you did the problem right or not. Put the answer you found back into the original problem where the variable was at the spot and follow the inverse function.

It makes the problem easier to solve, and you can see the result instantly.

As much as possible, practice! To get better at algebra (or any other type of math), you have to work hard and do things over and over again.

Try to practice your algebra lessons every other day consistently. If you continue to put in that much effort and hard work, surely, in no time, it will be easier for you. The more you get acquainted with the questions, the more you will understand how to solve them.

Don't worry if math is hard for you; you don't have to learn it alone. If you have a question, you should first ask your teacher first. After your class ends, go to your teacher and briefly explain to them the problems you’re facing. A good teacher will usually be happy to go over the day's topic again with you after school, and they might even be able to give you extra practice tools.

But, if, in any case, you can not get help from your teacher or you don’t feel they’re good at communicating all those things to you, hire a professional math tutor Dubai. An online or private tutor will help you reach your goals in less time than you expected.

**1. If 3 – 3x < 20, which of the following could not be a value of x?**

Possible Answers:

- –3
- –5
- –6
- –4
- –2

**2. Let x be a number. Increasing x by 20% yields the same result as decreasing the product of four and x by five. What is x?**

Possible Answers:

- 25/14
- 50/7
- 25/19
- 25/7
- 100/19

**3. If 4xs = v, v = ks, and sv ≠ 0, which of the following is equal to k?**

Possible Answers:

- xv
- x
- 4xv
- 4x
- 2xv

**4. √( x2 -7) = 3**

What is x?

Possible Answers:

- 9/7
- 4
- 3
- -9
- 3/7

**5. If 2x2(5-x)(3x+2) = 0, then what is the sum of all of the possible values of x?**

Possible Answers:

- 13/3
- 17/3
- -13/3
- 5
- -2/3

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