Translating Verbal Phrases to Algebraic Expressions

Questions and Answers

What does 'product' mean?

Multiply

Translate the phrase into an algebraic expression: 8 less than the product of 4 and a number (use m for the unknown number).

4m − 8

Write an algebraic expression for: three times a number plus 16.

3n + 16

What does 'difference' mean?

Subtract Signup and view all the answers

Translate: two times the sum of a number and five.

2(y + 5) Signup and view all the answers

Translate: a number more than 12.

12 + n Signup and view all the answers

Translate: m plus the product of 6 and n.

m + 6n Signup and view all the answers

Translate: 4 less than x.

x − 4 Signup and view all the answers

'Subtracted from' and 'less than' are terms that mean you need to 'turn around' or 'flip' the terms around.

True Signup and view all the answers

Translate the phrase into an algebraic expression: 57 more than 3 times Kate's score (use g for Kate's score).

3g + 57 Signup and view all the answers

Study Notes

Key Vocabulary and Definitions

Product: Represents multiplication in algebraic expressions.
Difference: Indicates subtraction in algebraic expressions.

Algebraic Expressions from Phrases

"8 less than the product of 4 and a number" translates to 4m − 8 (where m is the unknown number).
"Three times a number plus 16" is represented as 3n + 16 (with n as the variable).
"Two times the sum of a number and five" is expressed as 2(y + 5) (where y is the variable).
"A number more than 12" simplifies to 12 + n.
"m plus the product of 6 and n" translates to m + 6n.
"4 less than x" is written as x − 4.
"57 more than 3 times Kate's score" becomes 3g + 57 (using g to denote Kate's score).

Important Concepts

The phrases "subtracted from" and "less than" necessitate reordering the terms to correctly form expressions.
When encountering setups with multiple operations, maintain clarity in order of operations and variable use.

Notation

Use parentheses effectively to denote operations, especially when sums are involved, ensuring clarity in expressions.

Variable Representation

Utilize specific letters (e.g., m, n, g) as placeholders for unknown quantities in expressions to simplify translations from verbal to algebraic form.

Description

This quiz focuses on converting verbal phrases into algebraic expressions, an essential skill in understanding algebra. It covers various operations such as multiplication, addition, and subtraction expressed in words. Test your knowledge of translating these phrases correctly using the provided variable.