# ASVAB Arithmetic Reasoning Practice: Expressing Text as an Equation

The folks who write the Arithmetic Reasoning subtest on the ASVAB have a soft spot for questions that ask you to express text as an equation. Luckily, you can look for key terms like these to help you write the equation:

**Addition:** look for terms like *more,* *more than,* *sum*, or *increased*

**Subtraction:** look for terms like *minus*, *less, *or *less than*

**Multiplication:** look for terms like *times,* *of*, *twice*, or *product*

**Division:** look for terms like *quotient, divided by, half,* or *third*

**Equalities and inequalities:** look for terms like *equals,* *is,* or *is greater than or equal to*

## Practice questions

- Express as an equation: The product of two numbers is 75, and one of them is 15 more than the other.
**A.**75 =*x*(15*x*)

**B.**75 =*x*(*x*+ 15)

**C.***y*= 75 –*x*(*x*+ 15)

**D.**Both A and B are correct - Express as an equation: The reciprocal of a number is equal to the sum of two times the number and its opposite.

## Answers and explanations

- The correct answer is
**Choice (B).**The word

*product*means that the problem involves multiplication, and when you see*more than*, you know you’re adding. Therefore, you can express this equation this way:75 =

*x*(*x*+ 15)Here, one factor is

*x*and the other factor is*x*+ 15, and their product equals 75.There are several other ways to express the equation, but when you see a question like this on the ASVAB, it’s often best to go through the answer choices to see which one fits instead of creating your own formula. (It’s faster, too!)

- The correct answer is
**Choice (D).**Let

*x*be the variable and create an equation that looks like this:You can also simplify the equation so it looks like this:

Therefore, both Choice (A) and Choice (C) are correct.

Remember, when the ASVAB asks you to express an equation, key words tell you what to do. A

*reciprocal*is the opposite of a number