Chapter 1: Q 1.53 (page 36)

Translate the English phrase into an algebraic expression:
(a) four times the sum of p and q
(b) the sum of four times p and q.

Short Answer

Expert verified

$(a) 4 \times (p + q) (b) (4 \times p) + q$

Step by step solution

Part (a) Step 1. Given information.

(a) four times the sum of p and q

Part (a) Step 2. Find keywords to translate.

In (a), the keyword is "four times" indicates 'multiplication of 4' and "sum of" indicates the "addition" of p and q.

Part (a) Step 3. Now, observe the quantities on which the operation will be applied and form an algebraic expression.

Using the given quantities and the operation, the algebraic expressions so obtained are:

$(a) 4 \times (p + q)$

Part (b) Step 1. Given information.

(b) the sum of four times p and q

Part (b) Step 2. Find keywords to translate.

In (b), the keyword is "sum of" indicates 'addition of' and "four times p" indicates 'multiplication of 4 and p'.

Part (b) Step 3. Now, observe the quantities on which the operation will be applied and form an algebraic expression.

Using the given quantities and the operation, the algebraic expressions so obtained are:

$(b) (4 \times p) + q$

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Translate the English phrase into an algebraic expression:
(a) four times the sum of p and q
(b) the sum of four times p and q.

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Find keywords to translate.

Part (a) Step 3. Now, observe the quantities on which the operation will be applied and form an algebraic expression.

Part (b) Step 1. Given information.

Part (b) Step 2. Find keywords to translate.

Part (b) Step 3. Now, observe the quantities on which the operation will be applied and form an algebraic expression.

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Translate the English phrase into an algebraic expression:(a) four times the sum of p and q(b) the sum of four times p and q.

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Find keywords to translate.

Part (a) Step 3. Now, observe the quantities on which the operation will be applied and form an algebraic expression.

Part (b) Step 1. Given information.

Part (b) Step 2. Find keywords to translate.

Part (b) Step 3. Now, observe the quantities on which the operation will be applied and form an algebraic expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Pure Maths

Theoretical and Mathematical Physics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Translate the English phrase into an algebraic expression:
(a) four times the sum of p and q
(b) the sum of four times p and q.