Problem: Write an article based on this summary: Look at the cover. Review the table of contents, index, and glossary. Skim the textbook for headlines and visuals.

Answer: Are there pictures or art that can give you a clue on the topics you may be studying? What about the title? Is this a book for beginners or for someone with more skill?  Use the title for a more specific idea on the course. If it's a history book, will you be studying World History or Early American History? What do you already know about this subject? What about the authors, publisher and publishing date? Is this an old book or is it pretty current? How many chapters does the textbook have, and about how long are they? What about sub-chapters? What are the titles of the chapters and sub-chapters? Is there a glossary or a series of appendices? What about a bibliography? What types of words does the index have in it? Quickly flip through the pages. What immediately catches your attention? Take note of the chapter titles, bold words and vocabulary, photos, drawings, charts and diagrams. What do they tell you about things you'll be learning in the book? You can also skim to evaluate the difficulty of reading level for the text. Select one random page that is mostly text (not many visuals) and read it for comprehension. Time how long it takes you to read it.


Problem: Write an article based on this summary: Use a stain-removing laundry detergent to remove stains in the wash. Wash your clothes with 1 capful of bleach if they aren’t delicates. Add bluing agent to the laundry to remove stains and whiten clothes. Clean your clothes with borax if the stains also smell. Use rust remover to remove yellow stains caused by rust.

Answer: Simply tossing your white clothes into the wash with a laundry detergent specially designed to get rid of stains is probably the easiest way to get rid of yellow stains. Wash your clothes in the laundry as you normally would with the stain-removing detergent to remove the stains in 1 step.  There are a lot of detergents on the market that will not only remove your stains, but also leave your clothes smelling terrific! You can find laundry detergent designed to remove stains at most grocery stores and mass retailers where detergent is sold. Add the capful of bleach to a load of white clothes along with detergent to remove stains while also improving your clothes' overall shine. However, make sure your clothes can be safely bleached before you wash them this way. Avoid bleaching colored clothes or delicates, as the bleach might damage them.  You can check to see if your clothes can be safely bleached by looking at their tags. If a hollow white triangle is on the tags, this means they can be safely bleached. If the triangle has diagonal stripes in the middle of it, those clothes can only be treated with non-chlorine bleach. If the tag on your clothes contains a solid triangle with an X on top of it, that means they cannot be bleached at all. Bluing agent adds the slightest hint of blue to your clothes, which actually combines with the yellow hue of your stains to make them white. Mix the agent with cold water, per the instructions on the bottle, then toss it into your laundry machine with the detergent and the stained clothes and wash them as normal.  You can buy bluing agent at any department store or grocery store that sells laundry detergent. Note that bluing agent isn’t actually a cleaning agent, so although it will offset the yellow hue of your stains, it won’t do anything to make them cleaner. Borax is a naturally occurring mineral that helps to remove stains from clothes and even deodorizes and brightens them. Add 0.5 cups (120 mL) of borax to your laundry along with detergent at the beginning of the wash cycle to wash clothes with odorous stains. Borax is also a great multipurpose cleaner you can use to clean the inside of your car, your pet’s bedding, and even the washing machine itself! If the stains on your clothes were caused by rust, there are a number of commercial products specifically designed to remove rust that you can use. Simply add the rust remover to your washing machine as it's filling with water and let the clothes soak in it for 5 minutes. Then, add your detergent and wash the clothes as normal.  Be sure to follow the usage instructions on the bottle very closely, as rust remover fumes can be dangerous when inhaled. To best protect yourself, wear rubber safety gloves when handling rust remover.


Problem: Write an article based on this summary: Do neck rolls. Stretch your shoulders. Touch your toes. Do a straddle stretch. Do a butterfly stretch. Try a wall bridge. Rock out your back. Do a seal stretch.

Answer: Stretch out your neck to avoid kinking it when you do the scorpion. Gently tilt your head to one side then roll it down in a circular motion, sweeping from one side, toward your chest, then to the other side. Then, roll your neck back so you are looking up at the ceiling or sky, and sweep it back to the starting position. It’s important to stretch your shoulders and upper chest so you can reach your foot to complete the scorpion. Sit on the floor and put your arms behind you with your fingers facing the rear. Straighten your arms as you slide your hands away from your body. Hold for 30 seconds, then slowly walk your hands forward. Stand straight up and keep your knees and legs straight. Keep your back and neck straight, and bend at the waist. Reach over until you can touch your toes. Try to hold the stretch for 30 seconds. Start by sitting on the ground with your legs spread out in front of you. Open your legs as wide as you can but keep your knees and legs straight. Keep your back straight and lean over to one side to touch your toes. Repeat on the other side. You can also reach out in front of you with your arms and try to touch the ground. Sit on the ground and bend your knees to the sides so that the bottoms of your feet are touching. Gently press down on your knees to stretch your hips. You can also lean over and reach your arms out in front of you so that they touch the floor. Stand a few feet away from the wall and place your hands on the wall behind your head by bending backward. Walk yourself down to the ground. Lay on your back and bring your knees in toward your tummy. Hold your legs with your arms so that you are curled up in a ball. Rock back and forth to stretch your back muscles. Lay flat on your tummy then use your arms to hold your torso up. Tip your head back. This stretches your chest, abdominal, and back muscles. A snake or cobra stretch is another name for this pose. If that stretches your muscles too far, support your body with your elbows and forearms and work up to using your hands to support your weight.


Problem: Write an article based on this summary: Use factoring to simplify equations and make them easier to solve. Add and subtract so that one side of the equation is equal to zero. Factor the non-zero side just like normal. Set both inside and outside the parenthesis as equal to zero. Solve both equations for zero to get your final answer or answers. Plug your answers back in to ensure that they work.

Answer:
When solving an equation with binomials, especially complex binomials, it can seem like there is no way everything will match. For example, try to solve 5y−2y2=−3y{\displaystyle 5y-2y^{2}=-3y}. One way to solve it, especially with exponents, is to factor first.   Practice Problem: 5y−2y2=−3y{\displaystyle 5y-2y^{2}=-3y}  Remember that binomials must only have two terms. If there are more than two terms you can learn to solve polynomials instead. This whole strategy relies on one of the most basic facts of math: anything multiplied by zero must equal zero. So if you equation equals zero, then one of your factored terms must equal zero! To get started, add and subtract so one side equals zero.   Practice Problem: 5y−2y2=−3y{\displaystyle 5y-2y^{2}=-3y}   Set to Zero: 5y−2y2+3y=−3y+3y{\displaystyle 5y-2y^{2}+3y=-3y+3y} 8y−2y2=0{\displaystyle 8y-2y^{2}=0} At this point, you can pretend the other side doesn't exist for a step. Just find the greatest common factor, divided it out, and then create your factored expression.   Practice Problem: 5y−2y2=−3y{\displaystyle 5y-2y^{2}=-3y}   Set to Zero: 8y−2y2=0{\displaystyle 8y-2y^{2}=0}   Factor: 2y(4−y)=0{\displaystyle 2y(4-y)=0} In the practice problem you are multiplying 2y by 4 - y, and it must equal zero. Since anything multiplied by zero equals zero, this means either 2y or 4 - y must be 0. Create two separate equations to figure out what y must be for either side to equal zero.   Practice Problem: 5y−2y2=−3y{\displaystyle 5y-2y^{2}=-3y}   Set to Zero: 8y−2y2+3y=0{\displaystyle 8y-2y^{2}+3y=0}   Factor: 2y(4−y)=0{\displaystyle 2y(4-y)=0}   Set both parts to 0:  2y=0{\displaystyle 2y=0} 4−y=0{\displaystyle 4-y=0} You might have one answer, or more than one. Remember, only one side has to equal zero, so you might get a few different values of y that solve the same equation. For the end of the practice problem:   2y=0{\displaystyle 2y=0}  2y2=02{\displaystyle {\frac {2y}{2}}={\frac {0}{2}}} y = 0    4−y=0{\displaystyle 4-y=0}  4−y+y=0+y{\displaystyle 4-y+y=0+y} y = 4 If you got the right values for y then you should be able to use them to solve the equation. It is simple as trying each value of y in place of the variable, as shown. Since the answer were y = 0 and y = 4:   5(0)−2(0)2=−3(0){\displaystyle 5(0)-2(0)^{2}=-3(0)}  0+0=0{\displaystyle 0+0=0}  0=0{\displaystyle 0=0} This answer is correct     5(4)−2(4)2=−3(4){\displaystyle 5(4)-2(4)^{2}=-3(4)}  20−32=−12{\displaystyle 20-32=-12}  −12=−12{\displaystyle -12=-12} This answer is also correct.