Algebraic expressions can be represented as numbers and as words.
For all expressions, let the number be represented with x
(a) Fifteen less than twice a number
Twice a number is 2x
Fifteen less than this is: 2x - 15
Hence, the expression is 2x - 15
(b) Six less half a number
Half a number is [tex]\frac 12x[/tex]
Six less than this is: [tex]\frac 12x - 6[/tex]
Hence, the expression is [tex]\frac 12x - 6[/tex]
(c) The quotient of a number and 2
Quotient means division
Hence, the expression is x/2
(d) Three times the sum of seven and a number
The sum of seven and a number is: 7 + x
Three times this is 3(7 + x)
Hence, the expression is 3(7 + x)
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