Equations

On the GED math test you might be required to solve equations and/or translate word problems into equations in order to answer a question. An equation simply involves an algebraic term or expression on either side of an equals sign (=). For example:

n – 7 = 3

Naturally the values to the left of the = and to the right of the = are equal to each other. In this kind of situation you will often be required to state the value of n. The way you do this is to simply have n all by itself on one side of the equals sign, so you need to get rid of everything next to n. In this example –  7 is what is next to n. You have to move it to the other side of the equals sign. To do that do the opposite of minus 7, which is plus 7 to both sides of the equation:

The sevens cancel each other out, leaving n alone on one side of the equation as we wanted. Seven and three add up to ten so we now know that n is 10.

Again, to move something from one side of the equation to the other you will have to do the opposite operation, as we added to get rid of a minus in the example above. If it was n ÷ 7 = 10 then you would have to multiply both sides by 7 in order to solve for n. The table below lists the operation you need to perform in order to remove a term from an equation.

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11 comments

  1. jenn says:

    Thanks so much! Your site is a Blessing

  2. antwon says:

    your website is great!!! but i believe your site could be AMAZONING if you add a couple more examples

  3. Jairo says:

    why cant i just like add 7+3? whihc would equal 10 instead of doing
    -7 +7 and 3+7? liek what is the need to cancel out when i can just look at n and say ok so what minus 7=3?. THank you 🙂

    • Ziyi says:

      Sure you can do that, and after a while everybody does skip steps in their head that are obvious. But for people just starting out or coming back to algebra it’s probably safest to just follow the same step-by-step process.

  4. GOT 2 PASS THE MATH SESSION BEFOFE 2013.GIVE ME SOME TIPS 2 ASSIST ME.I HAVE TAKEN IT TWICE. NEEDED MORE TIME,8 POINTS FROM PASSING

  5. novell says:

    thank you this is a very helpful site

  6. obama says:

    my butt hurts

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