Nursing Entrance Exam

Nursing Preparation Study Guide It should be noted that the two sides of the equation should balance each other using the equal to (=) sign. Let us solve a few more examples to get a better understanding. Word Problem Algebraic Translation Kathy asks her mother how old she is. Her mother replies, “If you double my age and add 10 to it, then divide by 2, you get 35.” Marlin gets his monthly pocket money. He saves half of it, and then makes two purchases worth $6 and $5. Finally, when he reaches home, he is left with $3. A bus starts leaves the station filled to capacity. At the first stop, half the passengers get off and 10 get on board. At the next station, 12 get off while 17 get on board. Now, the number of passengers in the bus is 28. (2 + 10) = 35 2 – 6 – 5 = 3 2 − + 10 − 12 + 15 = 28 2 3.5.3 Mathematical Translations of Inequalities fromWords Inequalities can also be translated fromwords into mathematical equations. For instance, we need to translate the sentence, “a number minus 6 is less than 2” into an inequality. “A number” states the presence of an unknown variable. Let us denote that by . After subtracting 6 from , this expression should be less than (denoted by inequality sign <) 2. Now the expression becomes: – 6 < 2 Similarly, mathematical expressions can be formed using different inequality notations like more than (>), less than (<), at most (≤), at least (≥), etc., as shown below. The sum of 5 more than the number is no more than 15 + 5 < 15 Five boxes of cereal costs at most 25 dollars 5 ≤25 The difference between a number and 5 is at least 17 − 5 ≥ 17 Jenny’s height is greater than 65 inches >65 3.5.4 Solving Equations In order to solve the equations, it is important to move all variables to one side using inverse operations (addition/ subtraction & multiplication/division). Applying inverse operations on both sides of an equation keeps the balance. For instance, the equation – 3 = 7 can be simplified by adding 3 on each side, − 3 + 3 = 7 + 3 . Thus; the final answer is = 10 . More examples are shown below.

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