ASVAB Math prep

 ASVAB Math: Crack the Code of Word Problems
Cracking the code of word problems in the ASVAB Math section can be tricky, but with the right approach, it becomes much easier.

Read the Problem Carefully

Understand the context: Identify the subject of the problem.
Look for keywords: Certain words indicate mathematical operations. 
  • Sum, total, in all = Addition
  • Difference, less than, fewer = Subtraction
  • Product, of = Multiplication
  • Per, each = Division
Identify What You Need to Find

This could be a number, a percentage, a rate, or any specific variable. Highlight or underline it in the problem.

Translate the Words into an Equation

Break the problem into manageable parts and convert it into a mathematical expression. For example, if the problem says, “John buys 3 apples for $2 each,” you can write an equation for the total cost as:
Total Cost=3×2=6

Solve the Equation

Use the appropriate operations based on the problem's context. Be mindful of the order of operations. (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Double-Check Your Answer

After solving, quickly reread the problem to ensure the answer makes sense and addresses the question.

Example Problem

Problem: "A car travels 60 miles in 2 hours. How far will it travel in 5 hours at the same rate?"

Steps:

  • First, identify the rate: 60 miles in 2 hours. This gives a rate of: Rate=60 miles2 hours=30 miles per hour\text{Rate} = \frac{60 \text{ miles}}{2 \text{ hours}} = 30 \text{ miles per hour}
  • Now, calculate the distance for 5 hours: Distance=30 miles/hour×5 hours=150 miles\text{Distance} = 30 \text{ miles/hour} \times 5 \text{ hours} = 150 \text{ miles}
  • The answer is 150 miles.
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Tips for Success

Practice regularly to improve speed and accuracy.
Don’t rush: Take your time to understand the problem and avoid silly mistakes.
Look for relationships: In word problems, many times variables are related, so look for how one piece of information connects to another.

Hope all those resources will be helpful for you!

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