Write verbal sentence as equation, and solve.

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fiorano94

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Oct 29, 2006
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Instructions: Write the verbal sentence as an eqution. Then solve the equation.

1) Seven times the sum of 4 and a number is -14

2) Three more than 4 times a number is equal to 9 less than twice the number

I just want to know what to write for the verbal sentence, not the solution to the equation.

3) Would the solution to "5(n+2)=10" be{0} or the empty set?

Thank you!
 
1) Pick a variable for "a number".

Write an expression for "the sum of 4 and" the number.

Write an expression for "seven times" the above sum.

Note that "is" means "equals", and write the equation for "is -14".

2) Pick a variable for "a number".

Write an expression for "four time" that number.

Write an expression for "three more than" the above value.

Returning to the original variable, write an expression for "twice" that number.

Write an expression for "nine less than" the above expression.

Note that "is equal to" means "equals", and create the equation.

3) You have:

. . . . .5(n + 2) = 10

If "n = 0" is the solution set, then you can plug "0" in for "n" and get a true equation. If the empty set is the solution set, then there is no possible value of n that solves the equation.

What did you get when you tried to solve the equation? You divided through by 5, you subtracted 2 from both sides, and... then what?

If you get stuck, please reply showing all of your work. Thank you.

Eliz.
 
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