Chapter 1: Q 128. (page 39)

In the following exercises, translate to an algebraic expression and simplify if possible.
The sum of $- 8$ and $- 9$ , increased by 23.

Short Answer

Expert verified

The given statement can be translated as $[(- 8) + (- 9)] + 23$ and the simplified value is 6.

Step by step solution

Step 1. Concept Used.

The phrase "The sum of $a$ and $b$ " and " $a$ increased by $b$ " indicates the operation of addition and rewritten as $a + b$ .

Step 2. Write the given statement using mathematical notations.

The sum of $- 8$ and $- 9$ can be written as

$(- 8) + (- 9)$

Then, it is given that the sum of $- 8$ and $- 9$ , that is, $(- 8) + (- 9)$ , is increased by 23. Write it as a mathematical expression.

$[(- 8) + (- 9)] + 23$

Step 3. Simplify.

Start with the grouping symbol. Add $- 8$ and $- 9$ inside the brackets.

$[(- 8) + (- 9)] + 23 = - 17 + 23$

Step 4. Perform Addition.

Add $- 17$ and 23.

$- 17 + 23 = 6$

Step 5. Conclusion.

The given statement can be translated as $[(- 8) + (- 9)] + 23$ and the simplified value is 6.

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In the following exercises, translate to an algebraic expression and simplify if possible.
The sum of $- 8$ and $- 9$ , increased by 23.

Short Answer

Step by step solution

Step 1. Concept Used.

Step 2. Write the given statement using mathematical notations.

Step 3. Simplify.

Step 4. Perform Addition.

Step 5. Conclusion.

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In the following exercises, translate to an algebraic expression and simplify if possible.The sum of -8and -9, increased by 23.

Short Answer

Step by step solution

Step 1. Concept Used.

Step 2. Write the given statement using mathematical notations.

Step 3. Simplify.

Step 4. Perform Addition.

Step 5. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Calculus

Statistics

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, translate to an algebraic expression and simplify if possible.
The sum of $- 8$ and $- 9$ , increased by 23.