Equations cannot always be solved in one step. sometimes you must perform several operations before you can solve for the variable. you must try to isolate the variable on one side of the equation (usually the left).

example:

2x + 4 = 12 first, subtract 4 from each side
2x = 8
then divide each side by 2
x = 4
the solution (answer) is 4

example:

1/3s - 6 = 18
first, add 6 to each side
1/3s = 24
then, multiply each side by 3 (inverse of 1/3)
s = 72
the solution (answer) is 72

visit the following websites for more information, examples and practice on this concept.

lesson review

directions: solve each of the following equations.

1. 2x - 12 = 6

2. 2x + 6= 8

3. 12s - 12=12

4. 14s + 6 = 35

5. 3s - 12 = 6

6. 18t + 9 = 34

7. 21x + 7 = 28

8. 50y + 5 = 105

9. 1/4x - 6 = 24

10. 13x + 2 = 18

11. 6 - 3x = 18

12. 14 + s = 21

13. 16x - 4 = 28

14. 19x - 1 + 3 = 40

15. 10t = 194

16. 400x + 100 = 1100

17. 40 - 3x + 3 = 113

write your answer below:
(i would really appreciate it if someone me with these problems. you!

the answer is 21%.

step-by-step explanation:

yes it represnts a functio, their are not 2 of the same numbers on the both sides

step-by-step explanation:

the answer is 89 d

i took the test

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.