10 Questions
The algebraic translation of 'the sum of m and eight' is ______ + 8.
m
The phrase '7 minus a' can be translated to ______ - a in algebraic notation.
7
The algebraic expression for 'r exceeds by twenty' is ______ + 20.
r
The product of nine and n is written as ______n in algebraic notation.
9
The algebraic expression for 'y divided by eight' is y / ______.
8
The phrase 'twice a number' can be translated to ______x in algebraic notation.
2
The algebraic expression for 'the quotient of a number and ten' is x / ______.
10
The phrase '10 less b' can be translated to ______ - b in algebraic notation.
10
The algebraic expression for 'three fourths of a number' is ______x / 4.
3
Let ______ represent a certain number in algebraic expressions.
x
Study Notes
Translating English Phrases to Algebraic Expressions
- The sum of m and eight translates to m + 8
- Seven minus a translates to 7 - a
- R exceeds by twenty translates to r + 20
- The product of nine and n translates to 9n
- Y divided by eight translates to y / 8
- Twice a number translates to 2x
- The quotient of a number and ten translates to x / 10
- Ten less b translates to 10 - b
- Three fourths of a number translates to ¾x
Example Translations
- The sum of twice a number and seven translates to 2x + 7
- The product of twelve and a number, decreased by eight translates to 12x - 8
- Twenty more than four times a number translates to 4x + 20
- The quotient of thrice a number and fifteen translates to 3x / 15
- Eight times the square of a number, diminished by four translates to 8x² - 4
Translating Mathematical Symbols to English Phrases
- 2x + 5 translates to The sum of twice a number and five
- x - 3y translates to The difference of x and thrice y
Practice translating English phrases into algebraic expressions. Let x represent a certain number and translate phrases such as 'the sum of twice a number and seven' and 'the product of twelve and a number'. Test your skills and reinforce your understanding of algebraic translations.
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