# Math Problems Algebra

In fact, symbols didn’t appear in algebra until the introduction of the printing press in the fifteenth century – more than 2500 years after algebra was invented in ancient Babylon.Algebra is better thought of as a language for describing mathematical ideas.

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If you’re not sure if you should multiply, add, or subtract, try “real numbers” to see what you should do.

For example, “ $$\displaystyle \begin\left( \right)n-3=2\left( \right)-33\\\,\,\,\,\,-7n-3=-2n-33\\\,\,\,\,\,\,\underline\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-3\,=\,\,\,5n-33\\\,\,\,\,\,\,\,\,\,\,\,\,\,\underline\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,30\,\,=\,\,\,5n\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac\,\,=\,\,\frac\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,n=6\end$$ $$\displaystyle \beginx=\20 \left( \right)\\x=\20 \left( \right)\\x=\20 \3=\23\\x=\23\,\end$$ or $$\displaystyle \beginx=\20\times \left( \right)\\x=\20\times \left( \right)\\x=\20\times \left( \right)\\x=\23\,\end$$ Solution: This problem seems easy, but you have to think about what the problem is asking.

$$\begin2n-3\,\,\,=\,\,18-n\\\underline\\3n\,-3\,\,=\,\,\,18\\\underline\\\,\,3n\,\,\,\,\,\,\,\,\,\,=\,\,\,21\\\,\frac\,\,\,\,\,\,\,\,\,\,\,=\,\,\frac\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,n=7\,\,\,\,\,\,\text\\\,\,\,18-7=11\,\,\,\,\text\end$$ Solution: We always have to define a variable, and we can look at what they are asking.

The problem is asking for a number, so let’s make that $$n$$.

In fact, with just 45-60 minutes usage a week*, Math-Whizz can increase your child’s math ability by 18 months during their first year of use.

Note that Using Systems to Solve Algebra Word Problems can be found here in the Systems of Linear Equations and Word Problems section.After a no-pressure initial assessment, Math-Whizz can pinpoint gaps in your child’s core math knowledge (e.g.algebra) and provide them with individualized lessons that will close these gaps by catering to their unique level of ability and pace of learning.Now let’s try to translate word-for-word, and remember that the “opposite” of a number just means to make it negative if it’s positive or positive if it’s negative.We can just put a negative sign in front of the variable.The total change will, therefore, be represented by 2x (because they need to divide it between themselves).For this example, we will also use So the total change is , which means each sibling gets half of this, or .It is through algebra that we can model different phenomena and make sense of the world around us. Don’t worry, a lesson on its etymology should help.The word itself comes from the Arabic word al-jabr (‘the reunion of broken parts’), which features in the title of the book Ilm al-jabr wa’l-muḳābala (The Compendious Book on Calculation by Completion and Balancing) by the Persian mathematician and astronomer al-Khwarizmi.When we are asked to relate something to something else, typically we use the last thing (the “to the” part) as the $$y$$, or the dependent variable.I like to set up these types of problems as proportions, but what we’re looking for is actually a rate of minutes to photos, or how many minutes to print 1 photo.

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