Chapter 1: Q 127. (page 39)

In the following exercises, translate to an algebraic expression and simplify if possible.
The sum of 3 and $- 15$ , increased by 7.

Short Answer

Expert verified

The given statement can be translated as $[3 + (- 15)] + 7$ and the simplified value is $- 5$ .

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 3 and $- 15$ be written as

$3 + (- 15)$

Then, it is given that the sum of 3 and $- 15$ , that is, $3 + (- 15)$ is increased by 7. Write it as a mathematical expression.

$[3 + (- 15)] + 7$

Step 3. Simplify.

Start with the grouping symbol. Rewrite $3 + (- 15)$ by using the subtraction property $a + (- b) = a - b$ . $a + (- b) = a - b$ .

Subtract 15 from 3 inside the brackets.

$\begin{array}{rcl} [3 + (- 15)] + 7 & = & [3 - 15] + 7 \\ = & - 12 + 7 \end{array}$

Step 4. Perform Addition.

Add $- 12$ and 7 in the obtained expression.

$- 12 + 7 = - 5$

Step 5. Conclusion.

The given statement can be translated as $[3 + (- 15)] + 7$ and the simplified value is $- 5$ .

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In the following exercises, translate to an algebraic expression and simplify if possible.
The sum of 3 and $- 15$ , increased by 7.

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 3 and -15, increased by 7.

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

Discrete Mathematics

Pure Maths

Calculus

Applied Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, translate to an algebraic expression and simplify if possible.
The sum of 3 and $- 15$ , increased by 7.