Part 1) "Four times the difference of a number and [tex] 7 [/tex] is [tex] 32 [/tex]"
Let
x--------> the number
we know that
the expressions is equal to
[tex] 4(x-7)=32 [/tex]
therefore
the answer part 1) is
[tex] 4(x-7)=32 [/tex]
Part 2) "One third of a number is [tex] 12 [/tex] less than the number itself"
Let
x--------> the number
we know that
the expressions is equal to
[tex] \frac{1}{3} x=(x-12 ) [/tex]
therefore
the answer part 2) is
[tex] \frac{1}{3} x=(x-12 ) [/tex]
Part 3) "Ten increased by the quotient of a number and [tex] 2 [/tex] is [tex] -15 [/tex]"
Let
x---------> the number
we know that
the expressions is equal to
[tex] 10+ (\frac{x}{2} )= -15 [/tex]
therefore
the answer Part 3) is
[tex] 10+ (\frac{x}{2} )= -15 [/tex]
Part 4) "One less than the product of a number and [tex] 3 [/tex] is [tex] 5 [/tex] more than the number itself"
Let
x---------> the number
we know that
the expressions is equal to
[tex] (3x)-1=5+x [/tex]
therefore
the answer Part 4) is
[tex] (3x)-1=5+x [/tex]
Answer:
1) [tex]4(x-7)=32[/tex]
2) [tex]\frac{1}{3}x=x-12[/tex]
3) [tex]10+\frac{x}{2}=-15[/tex]
4) [tex](3x)-1=5+x[/tex]
Step-by-step explanation:
Given : Expressions in words.
To find : The expressions value?
Solution :
Let x be the number,
According to question,
1) "Four times the difference of a number and 7 is 32"
[tex]\Rightarrow 4(x-7)=32[/tex]
2) "One third of a number is 12 less than the number itself"
[tex]\Rightarrow \frac{1}{3}x=x-12[/tex]
3) "Ten increased by the quotient of a number and 2 is -15"
[tex]\Rightarrow 10+\frac{x}{2}=-15[/tex]
4) "One less than the product of a number and 3 is 5 more than the number itself"
[tex]\Rightarrow (3x)-1=5+x[/tex]
