lying a variable, such as 3 in $3x$.","back":"A coefficient is the number multiplying a variable, such as 3 in $3x$.","points":null},{"id":"2f620391-5131-446a-9bf8-3d3f62b828ad","cardType":"cloze","front":"To [ ] means to put an expression back into brackets, while to expand means to remove them.","back":"To factorise means to put an expression back into brackets, while to expand means to remove them.","points":null},{"id":"9403a393-4d22-474f-b9c6-f6d2dd77e389","cardType":"cloze","front":"To factorise means to put an expression back into brackets, while to [ ] means to remove them.","back":"To factorise means to put an expression back into brackets, while to expand means to remove them.","points":null},{"id":"a3cbc004-046d-4561-9670-40437de343ab","cardType":"basic","front":"Simplify the expression $x^2 + 7x - 3x - 21$ by collecting like terms.","back":"$$x^2 + 4x - 21$","points":2},{"id":"589cdcf7-4ea4-41a6-b358-e02ee2c60edf","cardType":"basic","front":"When expanding two brackets, how many multiplications must you perform to avoid missing terms?","back":"4","points":1},{"id":"ee3c4351-c80e-4fb3-ae10-a0d50b5d0f8e","cardType":"cloze","front":"A [ ] expression has a squared variable as its highest power, such as $x^2 + 4x - 12$.","back":"A quadratic expression has a squared variable as its highest power, such as $x^2 + 4x - 12$.","points":null},{"id":"a927f6ca-22c9-47c4-9780-4f767e9469a4","cardType":"basic","front":"Expand and simplify $(x + 5)(x - 4)$.","back":"$$x^2 + x - 20$","points":2},{"id":"9e3490ad-8eea-4309-9ce5-fc3addab566e","cardType":"basic","front":"What is the result of multiplying $3x$ by $2x$?","back":"$$6x^2$","points":1},{"id":"478fb702-938c-4ea7-a115-e470e46bd7bf","cardType":"basic","front":"Expand and simplify $(4x - 1)(2x + 3)$.","back":"$$8x^2 + 10x - 3$","points":2},{"id":"2b939cf9-92e1-4616-9aec-2080103a6923","cardType":"cloze","front":"When expanding brackets, a negative multiplied by a negative results in a [ ] value.","back":"When expanding brackets, a negative multiplied by a negative results in a positive value.","points":null},{"id":"145ff72a-4e77-4bf7-8a6b-2157ccf87808","cardType":"basic","front":"What is the first step to expanding a squared bracket like $(b - 6)^2$?","back":"Rewrite it as two brackets: $(b - 6)(b - 6)$.","points":1},{"id":"170a060f-6357-47e8-95c6-fe0d82746fc4","cardType":"basic","front":"Expand and simplify $(b - 6)^2$.","back":"$$b^2 - 12b + 36$","points":2},{"id":"ab7af2b0-59bf-48a9-8b97-cdcde4033950","cardType":"basic","front":"When factorising $x^2 + bx + c$, what two properties must the chosen number pair satisfy?","back":"

Multiply to give $c$ (the product)
Add to give $b$ (the sum)

","points":2},{"id":"cdedf19a-39ca-4414-81e6-da37bf1c0f02","cardType":"basic","front":"Factorise $x^2 + 9x + 20$.","back":"$$(x + 4)(x + 5)$","points":2},{"id":"2a50cf77-2c45-4f08-b187-d995b56f6ef7","cardType":"basic","front":"If a quadratic has a positive constant and a negative middle term, what are the signs in the brackets?","back":"Both are negative.","points":1},{"id":"d1a14b09-9722-4f56-9339-ff20de349611","cardType":"basic","front":"What are the bracket signs if the constant term of a quadratic is negative?","back":"One positive and one negative.","points":1},{"id":"bce70c0e-8745-488c-bc6d-32476beb56cf","cardType":"basic","front":"Factorise $n^2 - 4n - 21$.","b

Expanding and Factorising Quadratics Flashcards

Expanding and Factorising Quadratics Flashcards

Expanding and Factorising Quadratics Flashcards

Expanding and Factorising Quadratics Flashcards