adratic.","points":1},{"id":"11a6ef03-e17a-48c2-87c3-7cd4fa633f83","cardType":"basic","front":"Where are the roots of a quadratic equation found on its graph?","back":"Where the parabola crosses the x-axis.","points":1},{"id":"219bcc18-03c5-492d-a42e-2609744e99e4","cardType":"cloze","front":"Before identifying the coefficients $a$, $b$, and $c$, the equation must be rearranged so that one side equals [ ].","back":"Before identifying the coefficients $a$, $b$, and $c$, the equation must be rearranged so that one side equals 0.","points":null},{"id":"ee6b6519-ee62-4487-a0e7-722c012c5ae2","cardType":"basic","front":"Identify the coefficients $a$, $b$, and $c$ for the equation $4x^2 = 7x + 2$.","back":"

$a = 4$
$b = -7$
$c = -2$

","points":2},{"id":"3907f621-ccb1-452a-9132-23964f7fc5c8","cardType":"basic","front":"State the quadratic formula used to solve $ax^2 + bx + c = 0$.","back":"$$x = \\frac{-b \\pm \\sqrt{b^2 - 4ac}}{2a}$","points":1},{"id":"375197cb-b0b9-468f-b45e-121dd64e9afd","cardType":"cloze","front":"In the quadratic formula, the symbol $\\pm$ indicates that there are usually [ ] distinct solutions.","back":"In the quadratic formula, the symbol $\\pm$ indicates that there are usually two distinct solutions.","points":null},{"id":"0376ac72-7d02-4f2b-aaab-3d354a4ff007","cardType":"basic","front":"What is the discriminant?","back":"The expression $b^2 - 4ac$ found under the square root in the quadratic formula.","points":1},{"id":"284340f6-700c-4abe-9db4-b4f10fc399a2","cardType":"cloze","front":"If the discriminant $b^2 - 4ac$ is [ ], there are two real roots.","back":"If the discriminant $b^2 - 4ac$ is positive, there are two real roots.","points":null},{"id":"a770532a-e19b-49c5-a8ad-51a771a8bbf6","cardType":"cloze","front":"If the discriminant $b^2 - 4ac$ is [ ], there is one repeated root.","back":"If the discriminant $b^2 - 4ac$ is zero, there is one repeated root.","points":null},{"id":"eb1a7b0c-b0c3-41cd-87e0-3439b6be079f","cardType":"cloze","front":"If the discriminant $b^2 - 4ac$ is [ ], there are no real roots.","back":"If the discriminant $b^2 - 4ac$ is negative, there are no real roots.","points":null},{"id":"7fa1b695-b334-432e-aafb-59b56405be05","cardType":"basic","front":"Why should you use brackets for the numerator when typing the quadratic formula into a calculator?","back":"To ensure the entire numerator is divided by $2a$, rather than just the square root term.","points":1},{"id":"dc3c6e62-309a-4254-b2d7-64c563d8fd2d","cardType":"basic","front":"Contrast rounding to decimal places vs significant figures.","back":"

Decimal places: count digits after the decimal point.
Significant figures: count starting from the first non-zero digit.

","points":2},{"id":"d4f07edb-6130-4491-aac3-688351cac520","cardType":"basic","front":"What is a surd?","back":"An irrational root left in exact form, such as $\\sqrt{2}$.","points":1},{"id":"9a81b55c-33aa-4da1-928f-3c2bf8b4ac31","cardType":"basic","front":"Simplify the surd $\\sqrt{72}$ by extracting the largest square factor.","back":"$$\\sqrt{36 \\times 2} = 6\\sqrt{2}$","points":1},{"id":"00fbb1c8-6025-4739-a5f5-b336737a4ea6","cardType":"basic","front":"Simplify the expr

Quadratic Formula Flashcards

Quadratic Formula Flashcards

Quadratic Formula Flashcards

Quadratic Formula Flashcards