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Illustration of Quadratic Equations
Quiz by Roselia Jose
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​It is a polynomial equation of degree two thatcan be written in the form            ax2 + bx + c = 0 where a, b and c are Real  numbers and a ≠0.
Linear equation
Polynomial        Â
Quadratic expression
Quadratic equation
​Which of the following is a quadratic equation?
8x2 – 5 = 0
6(x + 6) = 0
x2 + 2x -3
x2 + x
It is a polynomial equation of degree two thatcan be written in the form            ax2 + bx + c = 0 where a, b and c are Real  numbers and a ≠0.
Which of the following is a quadratic equation?
What are the values of a, b and c in the quadratic equation 2x2 = 3x + 5 ?
 In the quadratic equation 3x2 –2x – 7 = 0, which is the linear term?
What method will you use to simplify the equation (2x + 3)(x – 5) = 0?
Which of the following is NOT a real number
What is the equation and values of a, b, and c when (x -Â 2)(x + 3) = 0 is simplified?
Which of the following is NOT a quadratic equation?
A quadratic equation is incomplete if either the coefficient b or c is _________ to zero.
What kind of equation does (x - 2)(x + 2) = 3x(x - 2)
ILLUSTRATION OF QUADRATIC EQUATIONBasic Question Types - Illustration of Quadratic EquationSHORT QUIZ ON ILLUSTRATION OF QUADRATIC EQUATIONGeography: the study of Earth’s physical and cultural features Landforms: the natural features of the land’s surface Climate: the average weather conditions in a certain area over a long period of time Environment: All the living and nonliving things that affect life in an area Region: An area with one or more features that make it different from other surrounding areas Map Key / Map Legend: box that explains the meaning of different symbols used on the map Map Scale: tool that measures the relationship between the distance of locations on the map and the distance of locations in real life Compass Rose: a circle that shows the key directions on a map Hemispheres: halves of the Earth Continent: one of seven large landmasses on Earth Oceans: large bodies of water that cover 71% of the Earth’s surface Latitude: imaginary horizontal lines that measure distance north and south of the Equator Equator: central line of latitude that is measured at 0° Longitude: imaginary vertical lines that measure distance east and west of the Prime Meridian Prime Meridian: the central line of longitude, which is measured at 0° and runs through Greenwich, United Kingdom Map: illustration of a specific area on Earth that is often portrayed on a flat surface Physical Map: a type of map that shows the natural landforms and terrain of a location Political Map: a type of map that identifies cities, states, and countries Globe: a spherical model that is the most accurate representation of EarthType of file formats in graphics illustrationTypes of textual aids such as table, graph, illustration, subtitle and their usLesson 2: USES OF SOIL PRETEST Color the pictures that show how we can use soil. SOMETHING TO READ Soil is very useful to us. We can use it in many ways. Let us find out the different uses of soil one by one. Uses of soil a. Sand is used in making our houses. It is also used in making hollow blocks. OBJECTIVES: - Enumerates things that we can with soil - Demonstrates ways for making play things out of soil SCIENCE 2 – MODULE 7 SEIBO COLLEGE 9 b. Soil is made up of minerals, nutrients, water and air that support growing plants. It also keeps the plant’s roots on the ground. c. Animals like earthworm and ants lives in the soil. They create tunnels in it to allow air and water to pass through it. d. Clay soil is used in making pots and vases. We can play with it. We can make different objects that we can use to play with. e. When we are at the shore of the beach, we can play with sand and build sand castles. SOMETHING TO DO ACTIVITY 1 Creating Things I Like Objective: In this activity, children will learn that they can create things out of clay. What you need: SCIENCE 2 – MODULE 7 SEIBO COLLEGE 10 2 bars of clay (any color) 1 pc. 1/8 illustration board or any hard board What to do: 1. Using the bars of clay, create things that you like then place them on the illustration board. 2. Show your work to your facilitator. Observation: 1. Is it easy for you to create things that you like out of clay? __________________________________________________ 2. What is the texture of the clay? ________________________ 3. Did you have fun dong this activity? _____________________ Conclusion: I therefore conclude that _CARBOHYDRATES Carbohydrates are organic compounds composed of carbon, hydrogen, and oxygen in a ratio of about one carbon atom to two hydrogen atoms to one oxygen atom. The number of carbon atoms in a carbohydrate varies. Some carbohydrates serve as a source of energy. Other carbohydrates are used as structural materials. Carbohydrates can exist as monosaccharides, disaccharides, or polysaccharides. Monosaccharides A monomer of a carbohydrate is called a monosaccharide (MAHN-oh-SAK-uh-RIED). A monosaccharide—or simple sugar— contains carbon, hydrogen, and oxygen in a ratio of 1:2:1. The gen- eral formula for a monosaccharide is written as (CH2O)n, where n is any whole number from 3 to 8. For example, a six-carbon mono- saccharide, (CH2O)6, would have the formula C6H12O6. The most common monosaccharides are glucose, fructose, and galactose, as shown in Figure 3-6. Glucose is a main source of energy for cells. Fructose is found in fruits and is the sweetest of the monosaccharides. Galactose is found in milk. Notice in Figure 3-6 that glucose, fructose, and galactose have the same molecular formula, C6H12O6, but differing structures. The different structures determine the slightly different properties of the three compounds. Compounds like these sugars, with a single chemical formula but different structural forms, are called isomers (IE-soh-muhrz). SECTION 2 OBJECTIVES ● Distinguish between monosaccharides, disaccharides, and polysaccharides. ● Explain the relationship between amino acids and protein structure. ● Describe the induced fit model of enzyme action. ● Compare the structure and function of each of the different types of lipids. ● Compare the nucleic acids DNA and RNA. VOCABULARY carbohydrate monosaccharide disaccharide polysaccharide protein amino acid peptide bond polypeptide enzyme substrate active site lipid fatty acid phospholipid wax steroid nucleic acid deoxyribonucleic acid (DNA) ribonucleic acid (RNA) nucleotide C HO H C H OH C OH H C CH2OH H C H OH O Glucose C OH C O H OH C OH H CH2OH C H CH2OH Fructose C H HO C OH H C OH H C CH2OH H C H OH O Galactose Glucose, fructose, and galactose have the same chemical formula, but their structural differences result in different properties among the three compounds. FIGURE 3-6 Copyright © by Holt, Rinehart and Winston. All rights reserved. 56 CHAPTER 3 Disaccharides and Polysaccharides In living things, two monosaccharides can combine in a condensa- tion reaction to form a double sugar, or disaccharide (die-SAK-e-RIED). For example in Figure 3-4, the monosaccharides fructose and glu- cose can combine to form the disaccharide sucrose. A polysaccharide is a complex molecule composed of three or more monosaccharides. Animals store glucose in the form of the polysaccharide glycogen. Glycogen consists of hundreds of glucose molecules strung together in a highly branched chain. Much of the glucose that comes from food is ultimately stored in your liver and muscles as glycogen and is ready to be used for quick energy. Plants store glucose molecules in the form of the polysaccha- ride starch. Starch molecules have two basic forms—highly branched chains that are similar to glycogen and long, coiled, unbranched chains. Plants also make a large polysaccharide called cellulose. Cellulose, which gives strength and rigidity to plant cells, makes up about 50 percent of wood. In a single cellu- lose molecule, thousands of glucose monomers are linked in long, straight chains. These chains tend to form hydrogen bonds with each other. The resulting structure is strong and can be broken down by hydrolysis only under certain conditions. PROTEINS Proteins are organic compounds composed mainly of carbon, hydrogen, oxygen, and nitrogen. Like most of the other biological macromolecules, proteins are formed from the linkage of monomers called amino acids. Hair and horns, as shown in Figure 3-7a, are made mostly of proteins, as are skin, muscles and many biological catalysts (enzymes). Amino Acids There are 20 different amino acids, and all share a basic structure. As Figure 3-7b shows, each amino acid contains a central carbon atom covalently bonded to four other atoms or functional groups. A single hydrogen atom, highlighted in blue in the illustration, bonds at one site. A carboxyl group, —COOH, highlighted in green, bonds at a second site. An amino group, —NH2, highlighted in yel- low, bonds at a third site. A side chain called the R group, high- lighted in red, bonds at the fourth site. The main difference among the different amino acids is in their R groups. The R group can be complex or it can be simple, such as the CH3 group shown in the amino acid alanine in Figure 3-7b. The differences among the amino acid R groups gives different proteins very different shapes. The different shapes allow pro- teins to carry out many different activities in living things. Amino acids are commonly shown in a simplified way such as balls, as shown in Figure 3-7c. (a) Many structures, such as hair and horns are made of proteins. (b) Proteins are made up of amino acids. Amino acids differ only in the type of R group (shown in red) they carry. Polar R groups can dissolve in water, but nonpolar R groups cannot. (c) Amino acids have complex structures, so, in this and other textbooks, they are often simplified into balls. FIGURE 3-7 (b) Alanine (an amino acid) (c) Simplified version of amino acid CH3 H N OH C C H O H (a) Copyright © by Holt, Rinehart and Winston. All rights reserved. BIOCHEMISTRY 57 H H N C C OH H O H CH3 H2O Glycine Alanine H N OH C C H O H H H N C C H O H CH3 N OH C C H O H (a) (b) (a) The peptide bond (shaded blue) that binds amino acids together to form a polypeptide results from a condensation reaction that produces water. (b) Poly- peptides are commonly shown as a string of balls in this textbook and elsewhere. Each ball represents an amino acid. FIGURE 3-8 Substrate Products Enzyme 1 2 3 In the induced fit model of enzyme action, the enzyme can attach only to a substrate (reactant) with a specific shape. The enzyme then changes and reduces the activation energy of the reaction so reactants can become products. The enzyme is unchanged and is available to be used again. 3 2 1 FIGURE 3-9 Dipeptides and Polypeptides Figure 3-8a shows how two amino acids bond to form a dipeptide (die-PEP-TIED). In this condensation reaction, the two amino acids form a covalent bond, called a peptide bond (shaded in blue in Figure 3-8a) and release a water molecule. Amino acids often form very long chains called polypeptides (PAHL-i-PEP-TIEDZ). Proteins are composed of one or more polypep- tides. Some proteins are very large molecules, containing hun- dreds of amino acids. Often, these long proteins are bent and folded upon themselves as a result of interactions—such as hydrogen bonding—between individual amino acids. Protein shape can also be influenced by conditions such as temperature and the type of solvent in which a protein is dissolved. For exam- ple, cooking an egg changes the shape of proteins in the egg white. The firm, opaque result is very different from the initial clear, runny material. Enzymes Enzymes—RNA or protein molecules that act as biological catalysts—are essential for the functioning of any cell. Many enzymes are proteins. Figure 3-9 shows an induced fit model of enzyme action. Enzyme reactions depend on a physical fit between the enzyme molecule and its specific substrate, the reactant being catalyzed. Notice that the enzyme has folds, or an active site, with a shape that allows the substrate to fit into the active site. An enzyme acts only on a specific substrate because only that substrate fits into its active site. The linkage of the enzyme and substrate causes a slight change in the enzyme’s shape. The change in the enzyme’s shape weakens some chemical bonds in the substrate, which is one way that enzymes reduce activation energy, the energy needed to start the reaction. After the reaction, the enzyme releases the products. Like any catalyst, the enzyme itself is unchanged, so it can be used many times. An enzyme may not work if its environment is changed. For example, change in temperature or pH can cause a change in the shape of the enzyme or the substrate. If such a change happens, the reaction that the enzyme would have catalyzed cannot occur.