Andrea's
Always Helpful Algebra Page
Good luck
With All Your Work!
Linear
Equations
| Problem: 4x+7=27 | Solve for x. |
| 4x+7=27
-7 -7 |
First you take the 7 and subtract from the left and right sides. You are left with 4x=20. |
| 4x=20 = x=20
4 4 |
Next you want to get the x by itself so you divide
4x by 4 and you do the same to the 20.
You are left with x=5. x=5 is your answer. You have solved for x! |
Literal
Equations
| Problem: d=rt | Solve for t. |
| d=rt = d=t
r r r |
You want to get t by itself so in this case you divide rt by r and you do the same thing with the d. So your answer is d/r=t. |
the next subject
is so exciting! (or at least this cat thinks so)
3
Different Equations For A Line
Point Slope Form
| 1. y-y1 = m(x-x1) | This is the equation for our 1st equation for a line - POINT SLOPE. |
| Given: (0, 4) slope=2 | You are given the point (0, 4) and that the slope of the line is 2. |
| y-4=2(x-0) | Now you take your given points and plug them into y1 and x1 and put your given slope in place of m. |
| y-4=2x | For the last step you use distributive property and distribute the 2 to the x and 0. |
Slope Intercept Form
| 2. y = mx+b | This is the equation for SLOPE INTERCEPT. |
| Given: (0, 4) slope=2 | You are given the point (0,4) and that the slope of the line is 2. |
| y = 2x + 4 | Now you plug in your given information. You put your slope, which is 2, in place of the m and your y1 which is 4, will plug in for b. |
Standard Form
| 3. ax+by = c | This is the equation for STANDARD FORM. |
| Given: (0,4) slope=2 | You are given the point (0,4) and that the slope of the line is 2. |
| -2x-1y=4 | Start with your slope intercept equation and then break it down and put it in this form. |
| 2x+y=-4 | Then take the equation and solve until your x is a positive integer. |
Here's some links to find out more about these types of equations.!