![]() In most cases, do the addition or subtraction step first. Sometimes you have to use more than one step to solve the equation. Notice that on the left you would normally not write because it would always cancel to 1 x, or x. In the same manner as when you add or subtract, you can multiply or divide both sides of an equation by the same number, as long as it is not zero, and the equation will not change. This is typically when the variable is already on one side of the equation, but there is either more than one of the variable, such as 2 x, or a fraction of the variable, such as Some equations involve only multiplication or division. ![]() Notice that in each case above, opposite operations are used that is, if the equation has addition, you subtract from each side. To solve this equation, you must get y by itself on one side. To check your answer, simply plug your answer into the equation: To solve the equation x + 8 = 12, you must get x by itself on one side. Some equations involve only addition and/or subtraction. If you're solving for x, you must get x on one side by itself. Solving an equation is the process of getting what you're looking for, or solving for, on one side of the equals sign and everything else on the other side. Doing the same thing to both sides of the equation (say, adding 3 to each side) keeps the equation balanced. ![]() Thus, if you do something to one side of the equation, you must do the same thing to the other side. When solving a simple equation, think of the equation as a balance, with the equals sign (=) being the fulcrum or center. Quiz: Variables and Algebraic Expressions.Variables Algebraic Expressions and Simple Equations.Quiz: Arithmetic Progressions and Geometric Progressions.Quiz: Calculating Measurements of Basic Figures. ![]() Calculating Measurements of Basic Figures.Customary System, Metric System, and Converting Units of Measure Rationals (Signed Numbers Including Fractions).Quiz: Rationals (Signed Numbers Including Fractions).Quiz: Changing Percents, Decimals, and Fractions, and Important Equivalents.Changing Percents, Decimals, and Fractions.Quiz: Changing Fractions to Decimals, Changing Terminating Decimals to Fractions, and Changing Infinite Repeating Decimals to Fractions.Changing Infinite Repeating Decimals to Fractions.Changing Terminating Decimals to Fractions.Quiz: Simplifying Fractions and Complex Fractions.Simplifying Fractions and Complex Fractions.Quiz: Multiplying and Dividing Fractions and Mixed Numbers.Multiplying Fractions and Mixed Numbers.Quiz: Adding and Subtracting Fractions and Mixed Numbers.Quiz: Proper and Improper Fractions, Mixed Numbers, and Renaming Fractions.Quiz: Factors, Primes, Composites, and Factor Trees.Factors, Primes, Composites, and Factor Trees.Quiz: Estimating Sums, Differences, Products, and Quotients.Estimating Sums, Differences, Products, and Quotients.Quiz: Grouping Symbols and Order of Operations.Ways to Show Multiplication and Division.Grouping Symbols and Order of Operations.Quiz: Properties of Basic Mathematical Operations.Properties of Basic Mathematical Operations.Quiz: Ways to Show Multiplication and Division, Multiplying and Dividing by Zero, and Common Math Symbols.The average idiot on the street is usually too stupid to realize they are getting screwed and it's pretty obvious some in the government are getting kick backs somehow. It's still pretty slimy IMO and I refuse to give them my business. I am surprised and disappointed that the state bureau of weights and measures has not come down hard on the tank exchange people, but they have found a loop hole by putting up a sign saying that the net weight is 15 lbs for their tanks. I get 20 lb fills for roughly $20 currently. You may also discover that the price will be lower than the exchange price. To avoid this, take your empty tank to a refill station if you have one near where you live and they will normally give you a true fill of 20 lbs. It would weigh 32 lbs when filled with 15 lbs and 37 lbs if filled with the max 20 lbs. The calculation is simply to subtract the tare weight from the total weight to arrive at the remaining gas weight. I guess they figure our time and effort are worth nothing to us. Duh? So, we get screwed out of 25% of the fuel and are required to fill the tanks more frequently. The suppliers claim they are doing this so that they don't have to raise the price. The exhange places have been playing a shell game lately and only fill the tanks 3/4 full, or 15 lbs. Normally, the 20 lb propane tanks hold 20 lbs of propane when full. In this case your supplier is saying that 15 lbs is what the contents should be for a full tank. The net weight is the weight of the contents. The Tare Weight is the empty weight of the container.
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