Fundamentals of Mathematics, 2008a

658 CHAPTER 11. ALGEBRAIC EXPRESSIONS AND EQUATIONS
11.6.2.1 Sample Set A
Translate each phrase or sentence into a mathematical expression or equation.
Example 11.35
Nine
} {{ }
more
} {{
than
}
some
}
number.
{{ }
9
+
Translation: 9 + x.
Example 11.36
Eighteen minus
} {{ }} {{ }
a
}
number.
{{ }
18 − x
Translation: 18 − x.
Example 11.37
A quantity less
} {{ }}{{}}{{}
ve.
y − 5
Translation: y − 5.
Example 11.38
Four
} {{ }
times
} {{ }
a
}
number
{{ }}{{}
is sixteen.
} {{ }
4
·
Translation: 4x = 16.
1
5
x
Example 11.39
One
} {{
fth
}}{{}
of
}
a number
{{ }}{{}
is thirty.
} {{ }
· n = 30
x
=
16
1
Translation:
5 n = 30, or n 5 = 30.
Example 11.40
}
Five
{{ }} times
{{ }} a number
{{ }}{{}
is
}
two
{{ }} more
{{
than
}} twice
{{ }} the number.
{{ }
5
·
Translation: 5x = 2 + 2x.
x
=
2
+
2·
x
11.6.2.2 Practice Set A
Translate each phrase or sentence into a mathematical expression or equation.
Exercise 11.6.1 (Solution on p. 687.)
Twelve more than a number.
Exercise 11.6.2 (Solution on p. 687.)
Eight minus a number.
Exercise 11.6.3 (Solution on p. 687.)
An unknown quantity less fourteen.
Exercise 11.6.4 (Solution on p. 687.)
Six times a number is fty-four.
Exercise 11.6.5 (Solution on p. 687.)
Two ninths of a number is eleven.
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