Problem 112 - Prealgebra

Question

In the following exercises, translate each phrase into math notation and then simplify. $$ 68 \quad \text {increase} \text { by } 25$$

Step-by-Step Solution

Answer

68 + 25 = 93

Step 1: Identify the Operation

The phrase 'increase by' indicates that we need to add.

Step 2: Translate to Math Notation

Translate the phrase '68 increase by 25' to a mathematical expression: 68 + 25

Step 3: Simplify the Expression

Perform the addition to simplify the expression: 68 + 25 = 93

Key Concepts

math notation

Math notation is a way to write mathematical concepts using symbols and numbers.
It helps in making complex ideas easier to read and understand.
In our example, the phrase '68 increase by 25' needs to be translated into a math expression.
Here, 'increase by' suggests addition.
So, the math notation for the phrase '68 increase by 25' is written as: \(68 + 25\).
Math notation allows us to convert word problems into equations that we can solve more easily.

translation of phrases

Translating phrases into math notation is a key skill in prealgebra. It involves understanding what words and phrases mean in mathematical terms.
For example, phrases like 'increase by' or 'add' indicate addition.
So, if you see 'increase by', you know it's time to add the numbers. In the exercise, '68 increase by 25' becomes \(68 + 25\).
This step converts the word problem into a simple math equation.
By mastering this, you can easily solve various word problems.

simplifying expressions

Once you've translated a phrase into a math notation, the next step is to simplify the expression.
Simplifying makes the math problem easier to solve.
For instance, after translating '68 increase by 25' into \(68 + 25\), you perform the addition:
\(68 + 25 = 93\).
This is the simplified or solved version of the expression.
Simplifying expressions is crucial because it allows you to find quick solutions to problems, especially in more complex math scenarios later on.