If you're having a hard time visualizing an algebra problem, try using diagrams or pictures to illustrate your equation. You can even try using a group of physical objects (like blocks or coins) instead if you have some handy.  For example, let's solve the equation x + 2 = 3 by using boxes (☐)  x +2 = 3 ☒+☐☐ =☐☐☐ At this point, we'll subtract 2 from both sides by simply removing 2 boxes (☐☐) from both sides: ☒+☐☐-☐☐ =☐☐☐-☐☐ ☒=☐, or x = 1    As another example, let's try 2x = 4  ☒☒ =☐☐☐☐ At this point, we'll divide both sides by two by separate the boxes on each side into two groups: ☒|☒ =☐☐|☐☐ ☒ = ☐☐, or x = 2 When converting a word problem into algebra, try to check your formula by plugging in simple values for your variable. Does your equation make sense when x=0? When x=1? When x = -1? It's easy to make simple mistakes by writing down p=6d when you mean p=d/6, but these are easily caught if you do a quick sanity check on your work before going further. For example, let's say we're told that a football field is 30 yards (27.4 m) longer than it is wide. We use the equation l = w + 30 to represent this. We can test whether this equation makes sense by plugging in simple values for w. For instance, if the field is w = 10 yards (9.1 m) wide, it will be 10 + 30 = 40 yards (36.6 m) long. If it's 30 yards (27.4 m) wide, it will be 30 + 30 = 60 yards (54.9 m) long, and so on. This makes sense — we'd expect the field to get longer as it gets wider, so this equation is reasonable. Answers in algebra and other advanced forms of math aren't always round, easy numbers. They can often be decimals, fractions, or irrational numbers. A calculator can help you find these complicated answers, but keep in mind that your teacher may require you to give your answer in its exact form, not in an unwieldy decimal. For instance, let's say that we narrow down an algebra equation to x = 12507. If we type 12507 into a calculator, we'll get a huge string of decimals (plus, since the calculator's screen is only so large, it can't display the entire answer.) In this case, we may want to represent our answer as simply 12507 or else simplify the answer by writing it in scientific notation. When you're confident with basic algebra, try factoring. One of the trickiest algebra skills of all is factoring — a sort of shortcut for getting complex equations into simple forms. Factoring is a semi-advanced algebra topic, so consider consulting the article linked above if you're having trouble mastering it. Below are just a few quick tips for factoring equations:  Equations with the form ax + ba factor to a(x + b). Example: 2x + 4 = 2(x + 2) 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: 3y2 + 12y = 3y(y + 4) Equations with the form x2 + bx + c factor to (x + y)(x + z) where y × z = c and yx + zx = bx. Example: x2 + 4x + 3 = (x + 3)(x + 1). Progress in algebra (and any other kind of math) requires lots of hard work and repetition. Don't worry — by paying attention in class, doing all of your assignments, and seeking out help from your teacher or other students when you need it, algebra will begin to become second nature. If you're having a hard time getting the hang of algebra, don't worry — you don't have to learn it on your own. Your teacher is the first person you should turn to with questions. After class, politely ask your teacher for help. Good teachers will usually be willing to re-explain the day's topic at an after-school appointment and may even be able to give you extra practice materials. If, for some reason, your teacher can't help you, try asking them about tutoring options at your school. Many schools will have some sort of after-school program that can help you get the extra time and attention you need to start excelling at your algebra. Remember, using free help that's available to you isn't something to be embarrassed about — it's a sign that you're smart enough to solve your problem!
استخدم الصور لتوضيح المسائل. استخدام "التصحيح الحدسي" (خاصة في المسائل اللفظية). اعلم أن الإجابات في الجبر لن تكون أرقامًا صحيحة دومًا. حاول أن تزيد مهاراتك. تدرب وتدرب وتدرب. اطلب من معلمك أن يساعدك على فهم موضوعات الجبر الصعبة.