Algebra

toc =Algebra=

Problem 1


Let x = Figure Number
 * Figure number || 1 || 2 || 3 || 4 || 5 || 6 ||
 * Number of Tiles || 6 || 10 || 14 || 18 || 22 || 26 ||

Algebraic Equation is 4x+2=y

Calculate the 15 figure : 62

Answered by Melanee.. 8-41

Modified by Linda.

Problem 2


The information given is that the perimeter is equal to 370 metres and that the length is 5 metres more than twice the width. We begin solving this word problem by setting it up, which means we write out what we know (given information) and our formula, which would be P=2L+2W because perimeter is equal to two lengths and two widths. Next, we plug in our information to our formula on a second line. That would be 370=5+2W+5+2W+2W+2W. The reason is because one length is 5 plus twice the width, so we would plug in 5+2W twice and add in the other 2W for the other width sides. To make thing less confusing, we combine like terms. 5 and 5 equal 10 so they would be automatically added together, and there are 6 widths in total so the variable is changed from 2W to 6W in total. Now we must isolate the variable. To do so we need to get rid of 10. To do so we subtract 10 from 10, and if we subtract ten from one side, we must subtract 10 from the other side to isolate the variable, which would be 370 - 10, which equals 360. Another reason as to why we subtracted is because it is the opposite inverse of adding. Now we have 360=6W. The opposite inverse of 6W (which is really 6 x W) would be dividing, so we would divide 6W to isolate the variable even further. We also divide 6W by 6 because that would be how you'd isolate the variable. Don't forget! What we do to one side we must do to the other. 360 divided by 6 is 60. Our end product is 60 = W. But we aren't done yet! We have yet to solve for L. L is equal to 5 m plus twice the width. In a nutshell, we just write out the formula, plug in the numbers, and solve. We start off with L = 5 + 2W because that's apart of our given information, then plug in what our solved width is on the next line, then solve. You should get L = 5 + (2)60, and then L = 5 + 120, then finally L = 125. At this point we must check if our solution is correct. We begin with our formula of perimeter: P = 2L + 2W. Plug in the numbers: 370 = (2)125 + (2)60 Solve: 370 = 250 + 120 370 = 370
 * HOW TO:**

Answered by Linda.

Problem 3
2x+4 = 12 2x+4-4 = 12-4 2x = 8 2x/2 = 8/2 x = 4 verification 2x+4=12 2(4)+4=12 8+4=12 12=12

sorry no time to draw pictures, maybe later