Nursing Preparation Study Guide

Nursing Preparation Study Guide 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 − 12 + 15 = 28 3.5.3 Mathematical Translations of Inequalities fromWords Inequalities can also be translated from words 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. Equation Steps (2 + 10) 2 = 35 2 + 10 = 70 Step 1: Multiply both sides by 2 2 + 10 2 × 2 = 35 × 2 2 = 60 Step 2: Subtract 10 from both sides 2 + 10 − 10 = 70 − 10 = Step 3: Divide both sides by 2 2 2 = 60 2

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