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Simple equations in one variable.

1.)
t+4=-9

2.)98=7z

3.)37=y/5+14

4.)2/7x-4/3=-3/2

5.)8(x-8)-5x= -37

6.)u+3>19

7.)-4x-17 is less than or equal to 19

8.)word problem

a local hamburger shop sold 577 hamburgers and cheeseburgers
on Tuesday. they sold 73 fewer cheeseburgers than hamburgers.how many hamburgers did they sell?

9.)a=1/2h(a+b) h is the height of a trapezoid, and a and b are the lengths of the upper and lower base.solve for a

10.)The length of a rectangle is 2 inch longer than its width. if the perimeter of the rectangle is 40 inch find its area.

11)solve for x.

triangle with degrees of : x degree,89 degree and 149 degree, what is x degree.

12.)9= -3/8t

Solution Preview

Here are the solutions.

checking home work 12 problems
1.) t + 4=-9
or t + 4 - 4 = - 9 -4 (subtracting 4 from either side)
or t = - 13

2.) 98=7z
Or (dividing by 7 on either side)
Or 14 = z
Or z = 14

3.) 37 = y/5 + 14
Or 37*5 = (y/5)*5 + 14*5 (multiplying by 5 on either side)
Or 185 = y + 14*5
Or 185 - 70 = y +70 - 70 (subtracting 70 from either side)
Or y = 115

4.) 2/7x-4/3=-3/2

Or
(LCM of the denominators7, 3 and 2 is 42 hence multiplying each term by 42)
Or
Or 12x = - 63 + 56
Or 12 x = -7
Or

5.) 8(x -8) - 5x = - 37
Or 8x - 8*8 - 5x = - 37
Or 8x - 64 - 5x = - 37
Or 8x - 5x = - 37 + 64
Or 3x = ...

Solution Summary

Some problems on simple equations in one variable.

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