Chapter 1: Q 1.54 (page 36)

Translate the English phrase into an algebraic expression:
(a) the difference of two times x and 8,
(b) two times the difference of x and 8.

Short Answer

Expert verified

$(a) (2 \times x) - 8 (b) 2 \times (x - 8)$

Step by step solution

Part (a) Step 1. Given information.

(a) the difference of two times x and 8

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

In (a), the keyword "difference of" indicates 'subtract from' and "two times" indicates 'multiplication of 2' to x.

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:

$(a) (2 \times x) - 8$

Part (b) Step 1. Given information.

(b) two times the difference of x and 8.

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

In (b), the keyword is "two times" indicates 'multiplication of 2' and "difference of" indicates 'subtract from' x.

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:

$(b) 2 \times (x - 8)$

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Translate the English phrase into an algebraic expression:
(a) the difference of two times x and 8,
(b) two times the difference of x and 8.

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) the difference of two times x and 8,(b) two times the difference of x and 8.

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

Logic and Functions

Decision Maths

Discrete Mathematics

Applied Mathematics

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Translate the English phrase into an algebraic expression:
(a) the difference of two times x and 8,
(b) two times the difference of x and 8.