ide of the equals sign.","points":1},{"id":"46b2f10c-6eac-4fc9-b3d5-8aab0f338ff2","cardType":"basic","front":"What is the balance rule for rearranging equations?","back":"Whatever is done to one side of the equation must be done to the other side.","points":1},{"id":"d3f52e45-4d59-489d-8fa2-953d64e736f2","cardType":"cloze","front":"In algebraic rearranging, [ ] is undone by subtracting and squaring is undone by square rooting.","back":"In algebraic rearranging, adding is undone by subtracting and squaring is undone by square rooting.","points":null},{"id":"00712559-130d-4637-a615-da95f12a86fc","cardType":"cloze","front":"In algebraic rearranging, adding is undone by subtracting and [ ] is undone by square rooting.","back":"In algebraic rearranging, adding is undone by subtracting and squaring is undone by square rooting.","points":null},{"id":"c26ee2fe-095c-4b94-89e5-d3ca6797e989","cardType":"basic","front":"If the subject is affected by multiple operations, in what order should they be undone?","back":"From the outside in.","points":1},{"id":"73fd5015-2c06-4908-b17f-cf0d54361c74","cardType":"cloze","front":"When making $p$ the subject of $q^2 = p^2 + 5rs$, you must first isolate $p^2$ to get $\\text{[...]}$.","back":"When making $p$ the subject of $q^2 = p^2 + 5rs$, you must first isolate $p^2$ to get $\\boxed{q^2 - 5rs = p^2}$.","points":null},{"id":"8abe30c1-1106-4c9f-ace4-a1ee8ba31ef7","cardType":"basic","front":"When is it necessary to use $\\pm$ when square rooting a formula to find the subject?","back":"In pure algebra (where the value could be negative).","points":1},{"id":"f1553266-a030-4ee8-94d5-e0a85ba35463","cardType":"basic","front":"Identify the coefficient of $k$ in the term $\\frac{1}{2}kt^2$.","back":"$$\\frac{1}{2}t^2$","points":1},{"id":"1584007b-6273-4c13-b80b-5f2df02c524c","cardType":"basic","front":"What is the first step to rearrange $D = nt + \\frac{1}{2}kt^2$ to make $k$ the subject?","back":"Subtract $nt$ from both sides to isolate the term with $k$.","points":1},{"id":"26ea065d-48a3-4337-a051-c43ea11e1325","cardType":"cloze","front":"To factorise an expression like $4y + cy - dy$, you take out the common factor to get $\\text{[...]}$.","back":"To factorise an expression like $4y + cy - dy$, you take out the common factor to get $\\boxed{y(4 + c - d)}$.","points":null},{"id":"e77caaa6-737b-4dc1-ad83-242b65cbf552","cardType":"basic","front":"What is the necessary step if the subject appears more than once in a formula?","back":"

Collect all subject terms on one side
Factorise to isolate the subject

","points":2},{"id":"3e3e2adf-9bff-4617-8d8a-6fe28fba78a1","cardType":"basic","front":"What does \"clearing the fraction\" mean in algebraic rearranging?","back":"Multiplying both sides by the denominator.","points":1},{"id":"1446226e-3a73-4f36-a861-6b841dbc276a","cardType":"basic","front":"Outline the steps to make $y$ the subject of $a = \\frac{5 + 3cy}{3y - 2}$.","back":"

Multiply by $(3y - 2)$
Expand brackets
Collect $y$ terms on one side
Factorise and divide

","points":3},{"id":"c44d26fa-6951-49e5-9319-a36f7a90dd77","cardType":"cloze","front":"The reciprocal of $q$ is $\\text{[...]}$.","back":"The reciprocal of $q$ is $\\boxed{\\frac{1}{q}}$.","points":null},{"id":"70af4506-d4c2-483f-9feb-e4ca3b6221bd","cardType":"basic","front":"How do you efficiently clear all fractions in a reciprocal formula like $\\frac{1}{p} = \\frac{1}{q} + \\frac{1}{r}$?","back":"Multiply every term by $pqr$.","points":1},{"id":"a37268d1-fc4e-4637-8502-b497cdfe467b","cardType":"basic","front":"Why must brackets be expanded earl

Rearranging Harder Formulae Flashcards

Rearranging Harder Formulae Flashcards

Rearranging Harder Formulae Flashcards

Rearranging Harder Formulae Flashcards