[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-481158-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-481158-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","writing-equations-from-ratios","Writing Equations from Ratios","","Worksheet practice for forming equations from ratios and unit conversions. Each item states a relationship between two units (e.g., dollars to quarters, liters to milliliters, feet to inches, pounds to ounces, gallons to quarts, and metric conversions). Students write an equation that expresses the total number of the second unit Z in terms of the first unit y. 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Write an equation to express the total number of quarters (Z) in (y) dollars.\u003Cbr>1) Every liter is 1,000 milliliters. Write an equation to express the total number of milliliters (Z) in (y) liters.\u003Cbr>2) Every foot is 12 inches. Write an equation to express the total number of inches (Z) in (y) feet.\u003Cbr>3) Every quarter is 5 nickels. Write an equation to express the total number of nickels (Z) in (y) quarters.\u003Cbr>4) For each pound there are 16 ounces. Write an equation to express the total number of ounces (Z) in (y) pounds.\u003Cbr>5) Every gallon is 4 quarts. Write an equation to express the total number of quarts (Z) in (y) gallons.\u003Cbr>6) Every quarter is 25 pennies. Write an equation to express the total number of pennies (Z) in (y) quarters.\u003Cbr>7) Every centimeter is 10 millimeters. Write an equation to express the total number of millimeters (Z) in (y) centimeters.\u003Cbr>8) Every yard is 3 feet. Write an equation to express the total number of feet (Z) in\u003Cbr>(y) yards.\u003Cbr>9) Every cup is 8 ounces. Write an equation to express the total number of ounces\u003Cbr>(Z) in (y) cups.\u003Cbr>10) Every dollar is 10 dimes. Write an equation to express the total number of dimes (Z) in (y) dollars.\u003Cbr>11) Every quart is 2 pints. Write an equation to express the total number of pints\u003Cbr>(Z) in (y) quarts.\u003Cbr>12) Every pint is 2 cups. Write an equation to express the total number of cups (Z) in (y) pints.\u003Cbr>13) Every dollar is 100 pennies. Write an equation to express the total number of pennies (Z) in (y) dollars.\u003Cbr>14) Every meter is 100 centimeters. Write an equation to express the total number of centimeters (Z) in (y) meters.\u003Cbr>15) For each kilogram there are 1,000 grams. Write an equation to express the total number of grams (Z) in (y) kilograms. |  |  |  |  |  |  | Answers\u003Cbr>Ex.  y × 4 = Z  1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.  \u003Cbr>13.  \u003Cbr>14.  \u003Cbr>15.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 8 | 1-10\u003Cbr>11-15 | 93 | 87 | 80 |  | 73 | 67 | 60 | 53 | 47 | 40 | 33 |\n|  |  |  |  | 27 | 20 | 13 |  | 7 | 0 |  |  |  |  |  |\n\nWriting Equations from Ratios  \nName: Answer Key  \n\n| Solve each problem. |  |  |  |  |  |  | Answers |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| Ex)\u003Cbr>1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8)\u003Cbr>9)\u003Cbr>10)\u003Cbr>11)\u003Cbr>12)\u003Cbr>13) | Every dollar is 4 quarters. Write an equation to express the total number of quarters (Z) in (y) dollars.\u003Cbr>Every liter is 1,000 milliliters. Write an equation to express the total number of milliliters (Z) in (y) liters.\u003Cbr>Every foot is 12 inches. Write an equation to express the total number of inches (Z) in (y) feet.\u003Cbr>Every quarter is 5 nickels. Write an equation to express the total number of nickels (Z) in (y) quarters.\u003Cbr>For each pound there are 16 ounces. Write an equation to express the total number of ounces (Z) in (y) pounds.\u003Cbr>Every gallon is 4 quarts. Write an equation to express the total number of quarts (Z) in (y) gallons.\u003Cbr>Every quarter is 25 pennies. Write an equation to express the total number of pennies (Z) in (y) quarters.\u003Cbr>Every centimeter is 10 millimeters. Write an equation to express the total number of millimeters (Z) in (y) centimeters.\u003Cbr>Every yard is 3 feet. Write an equation to express the total number of feet (Z) in\u003Cbr>(y) yards.\u003Cbr>Every cup is 8 ounces. Write an equation to express the total number of ounces (Z) in (y) cups.\u003Cbr>Every dollar is 10 dimes. Write an equation to express the total number of dimes (Z) in (y) dollars.\u003Cbr>Every quart is 2 pints. Write an equation to express the total number of pints\u003Cbr>(Z) in (y) quarts.\u003Cbr>Every pint is 2 cups. Write an equation to express the t","cbCaivvasKhraPht","https://ap.wps.com/l/cbCaivvasKhraPht","pdf",45021,"English","# Solve each problem\n## Unit conversion ratios (y to Z)","[{\"question\":\"What do the variables y and Z represent in each problem?\",\"answer\":\"y represents the given amount in the first unit, and Z represents the total number in the second unit after applying the stated ratio.\"},{\"question\":\"How do you write an equation from the ratio?\",\"answer\":\"Multiply y by the conversion factor from the first unit to the second unit, then set the result equal to Z (for example, y × 4 = Z).\"},{\"question\":\"Which types of conversions are included?\",\"answer\":\"The worksheet includes customary conversions (dollars/coins, feet/inches, quarts/gallons, pounds/ounces) and metric conversions (liters/milliliters, centimeters/millimeters, meters/centimeters, kilograms/grams).\"}]","Writing Equations from Ratios | PDF",1790796251]