The phrases can be represented by the algebraic expression x + 14 are:
Option 2: A number plus 14
Option 4: Fourteen more than a number
Option 5: A number increased by 14
Solution:
Given that we have to find the phrases represented by algebraic expression
Given expression is:
x + 14
This expression means that "x" is increased by 14 or 14 is added to x
Let us check the options one by one
Option 1:
The quotient of a number and 14
So this expression is wrong, since it involves quotient which is not related to given expression
Option 2
A number plus 14
Writing it mathematically,
number + 14
If the number be "x", then we get x + 14
So this option is correct
Option 3
Fourteen less than a number
Writing it mathematically,
number - 14
If the number be "x", then we get x - 14
So this Option is wrong
Option 4
Fourteen more than a number
Here, "more than" means addition
Writing it mathematically,
14 + number
If the number be "x", then we get 14 + x which is same as x + 14
So this option is correct
Option 5
A number increased by 14
Here, "increased by" means addition
Writing it mathematically,
number + 14
If the number be "x", then we get x + 14
So this option is correct
Thus correct options are option 2, 4, 5