Articles

Solving single-step inequalities is a clear-cut process just like it sounds. There is merely a single step needed for completely solving these equations.
The chief objective of solving a one-step inequality is to first isolate a variable on one side of the inequality symbol and then make its coefficient equal to one.
The tactic for isolating a variable involves using opposite operations. For example, to move a number you subtracted from the other side of the inequality, you must add.
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– Isolate the variable.
– Find the value of the inequality on the number line.
– For less than or greater than draw an open circle on the value of the variable.
– If there is an equal sign too, then use filled circle.
– Draw a line to the right direction.
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In percentage questions, we are essentially tasked with determining the portion or share of a whole expressed in terms of \(100\). This can be accomplished in one of the two ways listed below.

• First and foremost, we can employ the unitary technique.
• Secondly, we consider the fraction and modify its denominator to the number \(100\).

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To solve percent problems, you must remember the concept of three crucial things: Base, Part, and Percent.

• \(Base \ = \ Part \div Percent\)
• \(Part \ = \ Base \times Percent\)
• \(Percent \ = \ Part \div Base\)

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A fraction is converted to a percent by first converting it to a decimal by dividing the numerator by the denominator of the fraction in question. Following that, once you've obtained the decimal, simply multiply it by \(100\) to obtain the percentage. To convert a percentage into a fraction, just divide the percentage by \(100\) and then simplify (if possible) to get the fraction.
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To Calculate the Percentage of a number, firstly, we can apply the unitary method. Secondly, we take the fraction in consideration and change its denominator to \(100\).
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To combine like terms in variable expressions, we must use 2 techniques:

• Firstly, we must add or subtract like terms like those with the same variable (like \(3x, \ -7x\)) or those with the same powers (like \(2x^2, \ -3x^2\)). Also, we must use the same sign for coefficients after combining the like terms.
• Next, we must apply distributive law if possible. The distributive property states that multiplication distributes over addition, i.e., \(x(y \ + \ z) \ = \ (xy \ + \ xz)\).

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To evaluate two variables, we must follow the given steps:

• If possible, first simplify the variable expression
• Next, just substitute the value of the variables in the equation.

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To evaluate a single variable, we must follow the given steps:

• If possible, first simplify the variable expression.
• Next, just substitute the value of the variable in the equation.

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The distributive property is an extremely critical topic in the field of mathematics. As the word itself suggests, this property is extremely crucial while performing distributive multiplication over addition or subtraction. For example, let us consider the problem: \(5 \times (4 \ + \ 3 \ + \ 7)\)
Now to solve this in a more easy way, we will use the distributive property over addition. We will write this as: \(5 \times 4 \ + \ 5 \times 3 \ + \ 5 \times 7\)
As you can see, we distributed \(5\) over the three terms \(4\), \(3\), and \(7\).
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