rearrange it so $x$ is alone on one side and the other side does not contain $x$.","points":1},{"id":"e74b7696-4b8f-4197-8923-03b77eb34a37","cardType":"basic","front":"What is the inverse operation of squaring a variable?","back":"Taking the square root.","points":1},{"id":"0890569b-4f09-4316-83f1-51778bb6c1bd","cardType":"basic","front":"What is the inverse operation of square-rooting a variable?","back":"Squaring it.","points":1},{"id":"05c04f86-2c1c-4867-b6c3-db73f322b5a4","cardType":"cloze","front":"If $x^2 = 25$ in a pure algebra problem, then $\\text{[...]}$.","back":"If $x^2 = 25$ in a pure algebra problem, then $\\boxed{x = \\pm 5}$.","points":null},{"id":"43a1075d-a961-4219-8014-5436200a0b18","cardType":"basic","front":"When is it acceptable to ignore the negative root when rearranging a formula?","back":"When the variable represents a real-life physical quantity that cannot be negative (e.g., length, time).","points":1},{"id":"375b3a04-5562-4793-aad2-eb7597dae807","cardType":"basic","front":"If the target variable is in the denominator of a fraction, what is the first step?","back":"Multiply both sides by that denominator to clear the fraction.","points":1},{"id":"5a1e6d81-2520-4a5d-9209-bfafa9323e7d","cardType":"basic","front":"How do you remove the fraction from the term $\\frac{1}{2}at^2$ when rearranging?","back":"Multiply both sides of the equation by 2.","points":1},{"id":"bbf488f2-f4b2-4d16-a38a-dd39cee566ac","cardType":"cloze","front":"To isolate a letter that appears more than once, you must [ ] the target terms, factorise the letter, and finally divide.","back":"To isolate a letter that appears more than once, you must collect the target terms, factorise the letter, and finally divide.","points":null},{"id":"bdf3a21a-072c-48c0-87cf-b8121a1d91c3","cardType":"cloze","front":"To isolate a letter that appears more than once, you must collect the target terms, [ ] the letter, and finally divide.","back":"To isolate a letter that appears more than once, you must collect the target terms, factorise the letter, and finally divide.","points":null},{"id":"3c7b7e3c-0921-49c5-b048-45261d79ecd6","cardType":"cloze","front":"To isolate a letter that appears more than once, you must collect the target terms, factorise the letter, and finally [ ].","back":"To isolate a letter that appears more than once, you must collect the target terms, factorise the letter, and finally divide.","points":null},{"id":"9cce7571-cb47-4588-9406-de48f47b101c","cardType":"basic","front":"Which algebraic process converts $ax + bx$ into $x(a + b)$?","back":"Factorising (taking out a common factor).","points":1},{"id":"7afef3ef-5d30-4321-99b3-cd3f535341a8","cardType":"cloze","front":"A formula rearranged correctly must have the subject appear [ ] and only on one side of the equation.","back":"A formula rearranged correctly must have the subject appear once and only on one side of the equation.","points":null},{"id":"f7f56ace-20e9-47b3-ab3f-3e85324c9332","cardType":"cloze","front":"A formula rearranged correctly must have the subject appear once and only on [ ] of the equation.","back":"A formula rearranged correctly must have the subject appear once and only on one side of the equation.","points":null},{"id":"4fad1d77-2975-49fe-8411-2dbf825c82be","cardType":"basic","front":"What are the two final steps to find $y$ once

Rearranging Harder Formulae Flashcards

Rearranging Harder Formulae Flashcards

Rearranging Harder Formulae Flashcards

Rearranging Harder Formulae Flashcards