Solving 1,2 and multiple step Equations Simplifying Expressions

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Solve for n:

-3(2n-5)=0.5(-12n+30)

-6n+15=-6n+15 Identity Property- this equation is true for all values of n

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The length of a rectangular room is 6 less than 3 times the width,w, of the room.

Write a simplified expression that represents the perimeter of the room.

8w-12

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A triangle has the sides 3x,2x-8 and 10.

Write a simplified expression for the perimeter of the triangle.

5x+2

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A triangle has the sides x,2x-14 and 10.

If the perimeter of the triangle is 49 what is the value of x?

x=17.6

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The greater of two numbers is 4 more than the lesser. Three times the greater is 2 less than 5 times the smaller.

Find the numbers.

The numbers are 7 and 11.

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Translate this sentence into an equation.

Two times a number,n, is three times the sum of n and nine

2n=3(n+9)

### Find two consecutive even integers, such that six times the first equals five times the second.

6x=5(x+2) The integers are 10 and 12