boundary values do to the number line?","back":"They split it into regions.","points":1},{"id":"9a10e995-a4ff-471f-ada2-101b89d78191","cardType":"basic","front":"Find the boundary values for $x^2+7x+12\\gt 0$.","back":"$x=-4$ and $x=-3$.","points":2},{"id":"a084c408-e19f-4f19-b97a-d11924d571f0","cardType":"cloze","front":"If the coefficient of $x^2$ is positive, the parabola opens [ ].","back":"If the coefficient of $x^2$ is positive, the parabola opens upwards.","points":null},{"id":"43eb8ef6-829e-4c46-aff6-628bc28cbf29","cardType":"basic","front":"For an upward-opening quadratic, where is it positive relative to its roots?","back":"Outside the roots.","points":1},{"id":"9c3b6faf-f248-4337-98c7-25c58a74f673","cardType":"basic","front":"For an upward-opening quadratic, where is it negative relative to its roots?","back":"Between the roots.","points":1},{"id":"70658efe-4589-4db8-a98d-01f28ef9ec84","cardType":"cloze","front":"$$\\lt$ and $\\gt$ are [ ] inequalities, so boundary values are not included.","back":"$$\\lt$ and $\\gt$ are strict inequalities, so boundary values are not included.","points":null},{"id":"8facb816-71e6-497a-aa44-29e850858bb5","cardType":"cloze","front":"$$\\le$ and $\\ge$ are [ ] inequalities, so boundary values are included.","back":"$$\\le$ and $\\ge$ are inclusive inequalities, so boundary values are included.","points":null},{"id":"71216d4e-d094-4225-8bfe-720cd7491990","cardType":"basic","front":"On a number line, what endpoint is used for $\\lt$ or $\\gt$?","back":"An open circle.","points":1},{"id":"2863dfe9-04a0-48e1-8192-95876b567249","cardType":"basic","front":"On a number line, what endpoint is used for $\\le$ or $\\ge$?","back":"A closed circle.","points":1},{"id":"e65033ce-0105-45d1-b928-2d9fe922d249","cardType":"basic","front":"For a solution outside two roots, should the ranges be joined by and or or?","back":"or.","points":1},{"id":"decc1650-9bf6-4898-9d5e-f7158b1a4ef4","cardType":"basic","front":"Solve $x^2+5x+6\\gt 0$.","back":"$x\\lt -3$ or $x\\gt -2$.","points":2},{"id":"d3facdac-cddb-49c6-bf48-ce38021c91a8","cardType":"basic","front":"Solve $x^2-8x+15\\le 0$.","back":"$3\\le x\\le 5$.","points":2},{"id":"5cf1f1f6-fd75-4f38-bb44-855b935199dc","cardType":"basic","front":"Solve $x^2\\le 64$.","back":"$-8\\le x\\le 8$.","points":2},{"id":"04ad5f85-1a8c-4bc0-b365-1db510451c7a","cardType":"basic","front":"Rearrange $5x+14\\gt x^2$ so one side is zero and the $x^2$ coefficient is positive.","back":"$x^2-5x-14\\lt 0$.","points":2},{"id":"5cd1cf31-0173-4161-8b11-57687a5ed862","cardType":"basic","front":"Solve $5x+14\\gt x^2$.","back":"$-2\\lt x\\lt 7$.","points":2},{"id":"b286b837-c81f-48e7-86e4-5a2ca5fe06b5","cardType":"basic","front":"What happens to an inequality sign when you multiply or divide by a negative number?","back":"It reverses.","points":1},{"id":"b454fd27-a24f-4626-a68a-a327f45eec39","cardType":"cloze","front":"A non-monic quadratic has a coefficient of $x^2$ that is [ ].","back":"A non-monic quadratic has a coefficient of $x^2$ that is not one.","points":null},{"id":"c393586d-8aec-4f2f-bc63-ed056c1056e7","cardType":"basic","front":"Solve $6x^2+7x-3\\lt 0$.","back":"$-\\frac{3}{2}\\lt x\\lt \\frac{1}{3}$.","points":3},{"id":"11dfbe20-e81c-4288-80c4-125d694beb68","cardType":"cloze","front":"If a quadratic does not factorise nicely, use the [ ] to find boundary values.","back":"If a quadratic does not factorise nicely, use the quadratic formula to find boundary values.","points":null},{"id":"c5746e

Quadratic Inequalities Flashcards

Quadratic Inequalities Flashcards

Quadratic Inequalities Flashcards

Quadratic Inequalities Flashcards