Mathematics Chart LENGTH
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1 Mathematics Chart LENGTH Metric Customar kilometer = 000 meters mile = 0 ards meter = 00 centimeters mile = 0 feet centimeter = 0 millimeters ard = feet foot = inches CAPACITY AND VOLUME Metric Customar liter = 000 milliliters gallon = quarts gallon = ounces quart = pints pint = cups cup = ounces MASS AND WEIGHT Metric Customar kilogram = 000 grams ton = 000 pounds gram = 000 milligrams pound = ounces TIME ear = das ear = months ear = weeks week = das da = hours hour = 0 minutes minute = 0 seconds Metric and customar rulers can be found on the separate Mathematics Chart. Page Continued on the net page
2 Mathematics Chart Perimeter rectangle P = l + w or P = (l + w) Circumference circle C = πr or C = πd Area rectangle A = lw or A = bh bh triangle A = bh or A = trapezoid A = (b + b )h or A = (b + b )h circle A = πr Surface Area cube S = s clinder (lateral) S = πrh clinder (total) S = πrh +πr or S =πr(h + r) cone (lateral) S = πrl cone (total) S = πrl + πr or S = πr(l + r) sphere S = πr Volume prism or clinder V = Bh* pramid or cone V = Bh* sphere V = πr *B represents the area of the Base of a solid figure. Pi π π. or π Pthagorean Theorem a + b = c Distance Formula d = ( ) + ( ) Slope of a Line m = Midpoint Formula M = ( +, + ) Quadratic Formula = Slope-Intercept Form of an Equation b ± b ac a = m + b Point-Slope Form of an Equation = m( ) Standard Form of an Equation Simple Interest Formula A + B = C I = prt Page
3 The graph of a function is shown below. 0 If the graph is translated units down, which of the following best represents the resulting graph? A 0 techniques 0//0 0EM0ADCZ0.ART FMT 0 BATCH T C 0 techniques 0//0 0EM0ADCZ0.ART FMT 0 BATCH T B 0 D 0 Page
4 The drawing below shows both the top view of a solid structure built with identical cubes as well as the number of cubes in each column of the structure. Front Which -dimensional view best represents the same structure? F H G J Page
5 Which inequalit best describes the graph shown below? 0 A > + B < + C < + D > + Ronald wants to bu a shirt that is on sale for % off the regular price. The regular price of the shirt is p dollars. Which epression represents the sale price of the shirt? F p 0.p G p + 0.p H p p J 0.p Page
6 The net of a cube is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cube to the nearest tenth of a centimeter. Which is closest to the total surface area of the cube represented b this net? A cm B cm C cm D cm 0 If (,.) is a solution to the equation =, what is the value of? F 0. G 0. H. J. Page
7 Mrs. Lee bought a small rectangular bo that contains 0 tightl packaged erasers shaped like rectangular prisms, as shown below.. cm. cm. cm What is the approimate volume in cubic centimeters of this rectangular bo? F cm G cm H cm J cm The table below shows various values for and. Which equation best describes the relationship between and? A = + B = C = + D = + Page
8 0 AHP ENK as shown below. A mm E. mm mm P. mm H K N Which scale factor was used to transform AHP to ENK? F G H J 0 0 If a wheel spins at a rate of revolutions per minute, how man revolutions per hour does the wheel spin? Record our answer and fill in the bubbles on our answer document. Be sure to use the correct place value. Page
9 Look at the drawing shown below. in. in. K M P If KMP is a right triangle formed b the placement of squares, what is the area of the shaded square? A in. B in. C in. D in. Page
10 Which epression represents the area of a rectangle with sides measuring z units and z units? F z units G z units H 0 z units J 0 z units Mr. Carpenter built a wooden gate, as shown below. ft Heidi has a main-course choice of a hamburger, a hot dog, an egg roll, a taco, a fish sandwich, or a chicken sandwich. She has a side-order choice of french fries, corn chips, potato chips, or a salad. Heidi s beverage choice can be a soda, fruit punch, milk, or water. Which is the best method to determine how man different combinations Heidi could choose? F G H J Add the total number of items in the categories together Multipl the total number of main-course choices b the total number of side-order choices and add the product to the total number of beverage choices Multipl the sum of the total number of main-course choices and the total number of side-order choices b the total number of beverage choices Multipl the total number of items in each of the categories together ft Brace ft. ft Which is closest to the length in feet of the diagonal board that Mr. Carpenter used to brace the wooden gate? A B C D. ft. ft. ft. ft Page
11 Which point on the grid below best represents the coordinates (, )? M R K U 0 A B C D Point K Point M Point R Point U 0 LMN has vertices L (a, b), M (r, s), and N (u, v). What will be the new coordinates of point M if the triangle is translated units to the right and units down? F (r +, s ) G (r +, s ) H (r, s + ) J (r, s + ) To find c, the total cost of an order of DVDs from a certain website, the equation c =.n +. can be used, where n represents the number of DVDs ordered. If c is a function of n, which of the following best describes this relationship? A The value of n is constant in relation to c. B The value of n is dependent on c. C The value of c is constant in relation to n. D The value of c is dependent on n. Page
12 MNQ is similar to MLP. L N cm M cm Q cm P If ML = 0 centimeters, what is the length of MN? F G H J. cm. cm. cm cm A jar contains red marbles and 0 blue marbles, all of equal size. If Dominic were to randoml select marble without replacement and then select another marble from the jar, what would be the probabilit of selecting red marbles from the jar? A B C D Page 0
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