bbd91fc1-d3b4-4d96-9724-030995d59871","cardType":"basic","front":"Simplify $7x + 5 + 4x - 2 - 3x$ by collecting like terms.","back":"$$8x + 3$","points":2},{"id":"e48977fe-02db-4b20-a426-95c2d49c916c","cardType":"cloze","front":"The distributive law for expanding brackets is $k(a + b) = $ $\\text{[...]}$.","back":"The distributive law for expanding brackets is $k(a + b) = $ $\\boxed{ka + kb}$.","points":null},{"id":"c06bbbd6-5871-4308-8227-fb35eacd3329","cardType":"basic","front":"What is the result of expanding $8(4s - 3)$?","back":"$$32s - 24$","points":2},{"id":"44dfb85a-dffa-4c7b-983d-3622db0210a4","cardType":"basic","front":"Expand $5x(3x - 2)$.","back":"$$15x^2 - 10x$","points":2},{"id":"e16ac0bc-6834-455b-bcc9-3256eedbae1e","cardType":"basic","front":"What is a common mistake when expanding a bracket like $8(4s - 3)$?","back":"Only multiplying the first term (e.g. writing $32s - 3$).","points":1},{"id":"80fd29fd-6ef5-4876-b9e7-adc0d914b52d","cardType":"basic","front":"Expand and simplify $6(g + 4) + 2(g - 7)$.","back":"$$8g + 10$","points":3},{"id":"60c6d171-bb29-4871-af60-f51b4db46a80","cardType":"basic","front":"How does a minus sign before a bracket (e.g. $-2(5y + 1)$) affect the expansion?","back":"It changes the signs of every term inside the bracket when multiplied.","points":2},{"id":"c97c317a-8b32-40b4-bec2-cd16990c58cf","cardType":"basic","front":"Expand and simplify $4(3y - 5) - 2(5y + 1)$.","back":"$$2y - 22$","points":3},{"id":"7f7da1dc-3672-4cac-8134-006a5ec1fcad","cardType":"cloze","front":"Factorising is the [ ] of expanding.","back":"Factorising is the opposite of expanding.","points":null},{"id":"5e1bb099-fa9d-4443-93d7-02f7d125dd2e","cardType":"basic","front":"What are the two requirements to factorise fully?","back":"

Take out the highest common factor (HCF) of the numbers
Take out the HCF of the variables

","points":2},{"id":"af31cf12-3e75-48f6-bbbb-3dde89986019","cardType":"basic","front":"Factorise $20y + 35$.","back":"$$5(4y + 7)$","points":2},{"id":"6ea25999-6924-42a0-ae62-bbf28a63059c","cardType":"basic","front":"What is the highest common factor of $12m^2n$ and $18mn^2$?","back":"$$6mn$","points":2},{"id":"25175dce-05e7-4085-9d14-a17e8aaf9ab9","cardType":"basic","front":"Factorise fully $12m^2n + 18mn^2$.","back":"$$6mn(2m + 3n)$","points":2},{"id":"667424e0-e5e3-4bba-926f-2991827623eb","cardType":"basic","front":"How can you check if your factorisation is correct?","back":"Expand the brackets; it should return to the original expression.","points":1},{"id":"b190456e-d164-40cd-9f81-9255145ee98d","cardType":"basic","front":"What is the most efficient first step to solve $5(b + 4) = 45$?","back":"Divide both sides by 5.","points":1},{"id":"97f834ee-37e9-4f0b-a9ca-e1552643afad","cardType":"basic","front":"Solve $5(b + 4) = 45$.","back":"$$b = 5$","points":2},{"id":"10b7e02c-70db-4bfc-ad1c-b84ea8551e8a","cardType":"basic","front":"Solve $4(c - 3) = 18$.","back":"$$c = 7.5$","points":2},{"id":"a8b229e3-5680-4882-970f-7cad726e1c67","cardType":"cloze","front":"In algebra, a [ ] is a letter that represents a number, while a term is a part of an expression separated by plus or minus signs.","back":"In algebra, a variable is a letter that represents a number, while a term is a part of an expression separated by plus or minus signs.","points":null},{"id":"0b94316d-a9dd-4c04-bfd4-deb86d33baa9","cardType":"cloze","front":"In algebra, a variable is a letter that represents a number, while a [ ] is a part of an expression separated by plus or minus signs.","back":"In algebra, a variable is

Expanding and Factorising Flashcards

Expanding and Factorising Flashcards

Expanding and Factorising Flashcards

Expanding and Factorising Flashcards