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Graphs can be valuable tools in algebra because they allow you to display ideas that you'd usually need numbers for in easy-to-understand pictures. Usually, in beginning algebra, graphing problems are restricted to equations with two variables (usually x and y) and are done on a simple 2-D graph with an x axis and a y axis. With these equations, all you need to do is plug in a value for x, then solve for y (or do the reverse) to get two numbers that correspond to a point on the graph. For example, in the equation y = 3x, if we plug in 2 for x, we get y = 6. This means that the point (2,6) (two spaces to the right of center and six spaces above center) is part of this equation's graph. Equations with the form y = mx + b (where m and b are numbers) are especially common in basic algebra. These equations always have a slope of m and cross the y axis at y = b. What do you do when your equation doesn't use an equals sign? Nothing much different than what you'd normally do, it turns out. For inequalities, which use signs like > ("greater than") and < ("less than"), just solve as normal. You'll be left with an answer that's either less than or greater than your variable. For instance, with the equation 3 > 5x - 2, we would solve just like we would for a normal equation: 3 > 5x - 2 5 > 5x 1 > x, or x < 1. This means that every number less than one works for x. In other words, x can be 0, -1, -2, and so on. If we plug these numbers into the equation for x, we'll always get an answer less than 3. One algebra topic that many beginners struggle with is solving quadratic equations. Quadratics are equations with the form ax2 + bx + c = 0, where a, b, and c are numbers (except that a can't be 0.) These equations are solved with the formula x = [-b +/- (b2 - 4ac)]/2a . Be careful the +/- sign means you need to find the answers for adding and subtracting, so you can have two answers for these types of problems. As an example, let's solve the quadratic formula 3x2 + 2x -1 = 0. x = [-b +/- (b2 - 4ac)]/2a x = [-2 +/- (22 - 4(3)(-1))]/2(3) x = [-2 +/- (4 - (-12))]/6 x = [-2 +/- (16)]/6 x = [-2 +/- 4]/6 x = -1 and 1/3 Solving more than one equation at once may sound super-tricky, but when you're working with simple algebra equations, it's not actually that hard. Often, algebra teachers use a graphing approach for solving these problems. When you're working with a system of two equations, the solutions are the points on a graph that the lines for both equations cross at. For example, let's say we're working with a system that contains the equations y = 3x - 2 and y = -x - 6. If we draw these two lines on a graph, we get one line that goes up at a steep angle, and one that goes down at a mild angle. Since these lines cross at the point (-1,-5), this is a solution to the system. If we want to check our problem, we can do this by plugging our answer into the equations in the system a right answer should "work" for both. y = 3x - 2 -5 = 3(-1) - 2 -5 = -3 - 2 -5 = -5 y = -x - 6 -5 = -(-1) - 6 -5 = 1 - 6 -5 = -5 Both equations "check out," so our answer is right!

summary: Learn to graph x/y equations. Learn to solve inequalities. Tackle quadratic equations. Experiment with systems of equations.

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If you're really committed to keeping your bathroom clean, it helps to make it as easy for yourself as possible. That's why you should keep a package of pre-moistened cleansing wipes beside your sink, so you can wipe down any errant toothpaste or other messes from the sink. The wipes will also come in handy for wiping down the toilet exterior, tub, or tile in a hurry. To make sure your bathroom is clean and safe, choose antibacterial wipes that will not only clean, but help kill any bacteria that may be lurking in your bathroom. The best to ensure that your bathroom stays clean is to keep all of the products and items that you need to clean it within reach. You may want to place a bucket in one of the cabinets that holds all of your supplies, so they're always ready to go when you need them. For basic bathroom cleaning kit, you may want to add items such as: Scrub brushes, including a toilet brush, sponges, and heavy duty cleaning cloths Spray glass cleaner A strong multipurpose cleaner Toilet bowl cleaner A feather duster or sham You may also need to use a broom, dustpan, and vacuum to do a full bathroom cleaning, so make sure they're nearby too. As with most things, the best way to make sure that you keep your bathroom clean is to create a schedule for cleaning it. There may be some chores that you want to do daily, others that you'll do weekly, and some intensive jobs that you'll only do every few months. Make a list and break them down to according to when you'll do them -- then consider posting it inside a bathroom cabinet so you can remind yourself of what needs to be done. On a daily basis, you may want to make an effort to wipe down the sink, toilet seat and rim, and the mirror and faucets. You can also run a brush through the toilet bowl and squeegee the shower door if you have time. On a weekly basis, try to scrub the bathtub or shower walls, deep clean the toilet, mop the floor, and wipe down the doorknobs, doorjambs, switch plates, and baseboards. Once every few months, go through your medicine cabinet and vanity drawers to toss out any old or unnecessary items. If you have a shower curtain, wash it according to its care instructions too.
summary: Keep pre-moistened cleansing wipes next to sink. Have your cleaning supplies ready. Create a bathroom cleaning schedule.