Preparing for the Hesi A2 exam can be a daunting task, but fear not! The math section is designed to assess your fundamental skills and problem-solving abilities. With the right strategies and a bit of practice, you’ll be well on your way to acing this crucial component of the exam.
Let’s dive into a few sample questions and walk through the step-by-step solutions to help you build your confidence and mathematical prowess.
Example 1: Fractions and Decimals
Question: Simplify the expression (3/4) + (1/2).
To solve this problem, we need to find a common denominator for the fractions and then add the numerators.
Step 1: Find the least common denominator (LCD) for the fractions. In this case, the LCD is 4.
Step 2: Convert the fractions to equivalent fractions with the LCD of 4.
(3/4) becomes (3/4)
(1/2) becomes (2/4)
Step 3: Add the numerators and keep the common denominator.
(3/4) + (2/4) = (5/4)
Therefore, the simplified expression is 5/4.
Example 2: Percentages and Proportions
Question: What is 25% of 80?
To solve this problem, we need to set up a proportion and solve for the unknown value.
Step 1: Set up the proportion.
Let x be the unknown value.
25/100 = x/80
Step 2: Cross-multiply and solve for x.
25 × 80 = 100x
2000 = 100x
x = 20
Therefore, 25% of 80 is 20.
Question: What is 70% of 65?
Ah, percentages, the bread and butter of math problems. Think of it as a sale at your favorite store. If 70% of the items are on sale, and you have 65 items, how many are you going to snag at a discount? To solve this, you simply multiply 65 by 0.70 (that’s the decimal form of 70%), and voilà, you get 45.5. That’s 45 items and a half… but let’s not split hairs, or items, for that matter.
Example 3: Algebra and Equations
Question: Solve the equation 3x + 2 = 17 for x.
To solve this linear equation, we need to isolate the variable x on one side of the equation.
Step 1: Subtract 2 from both sides of the equation to get the variable term alone on the left side.
3x + 2 – 2 = 17 – 2
3x = 15
Step 2: Divide both sides of the equation by 3 to solve for x.
3x/3 = 15/3
x = 5
Therefore, the solution to the equation 3x + 2 = 17 is x = 5.
Remember, the key to success in the Hesi A2 math section is to practice, practice, and practice some more. By mastering these fundamental concepts and strategies, you’ll be well on your way to achieving your desired score on the exam. Good luck!
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