lt in two solutions?","back":"Because a straight line can intersect a quadratic curve (like a circle) at two distinct points.","points":2},{"id":"3fa5595d-6833-4d4b-825a-077bb8c3ebde","cardType":"basic","front":"What is the first step in solving a quadratic simultaneous equation algebraically?","back":"Rearrange the linear equation to make one variable the subject.","points":1},{"id":"687f9306-d7ea-421d-9378-a2f6ac85615f","cardType":"cloze","front":"Substitution turns two equations into one equation with [ ].","back":"Substitution turns two equations into one equation with one unknown.","points":null},{"id":"342b3fe0-6fe8-47f1-824b-620652e7c722","cardType":"basic","front":"How are the matching $y$-values found once the $x$-values are solved?","back":"Substitute each $x$-value into the rearranged linear equation.","points":2},{"id":"453ab1b8-1ee5-421e-9b92-5d9413d12322","cardType":"basic","front":"In what format should final solutions to simultaneous equations be given?","back":"As coordinate pairs $(x, y)$.","points":1},{"id":"b05d70dd-90ec-4216-8615-896dd04274b9","cardType":"basic","front":"Explain the common mistake involving square roots and the equation $x^2 + y^2 = 10$.","back":"Incorrectly assuming $x + y = \\sqrt{10}$; square roots do not distribute across addition.","points":2},{"id":"5fadbf66-56e8-432b-9693-43f31f0b4da8","cardType":"basic","front":"What does the quadratic equation $x^2 + y^2 = r^2$ represent graphically?","back":"A circle centred at the origin $(0,0)$.","points":1},{"id":"404453db-862b-48ac-9488-87654cee244e","cardType":"basic","front":"If a question requires answers to 3 significant figures, what does this imply about the quadratic?","back":"The quadratic will not factorise, and you must use the quadratic formula.","points":1},{"id":"85f7dd5b-6322-416e-a231-3c1eb4d5418c","cardType":"cloze","front":"In the number $-0.120$, the final zero is [ ].","back":"In the number $-0.120$, the final zero is significant.","points":null},{"id":"7ee27486-e38b-42fe-92de-f2ee937dda46","cardType":"basic","front":"In the expansion of $(5 - 4x)^2$, what are the resulting three terms?","back":"$$25 - 40x + 16x^2$","points":2},{"id":"80d29ab3-05f3-4108-9521-f1f7cbb5e36c","cardType":"cloze","front":"In the expression $2x^2 - (1 - 6x + 9x^2)$, the negative sign must be applied to [ ] inside the bracket.","back":"In the expression $2x^2 - (1 - 6x + 9x^2)$, the negative sign must be applied to every term inside the bracket.","points":null},{"id":"a80a18e1-50d9-4905-99fc-290978322d6b","cardType":"cloze","front":"A quadratic equation must be equal to [ ] before using the quadratic formula or factorising.","back":"A quadratic equation must be equal to 0 before using the quadratic formula or factorising.","points":null},{"id":"83eaa51c-cdbd-490a-affc-dbd35d089750","cardType":"cloze","front":"If the value under the square root in the quadratic formula is negative, the line and curve [ ].","back":"If the value under the square root in the quadratic formula is negative, the line and curve do not intersect.","points":null},{"id":"7323b193-fb3a-4d70-8f48-a01f5c3a38af","cardType":"basic","front":"What is indicated graphically if the quadratic equation results in a repeated root?","back":"The line is a tangent to the curve (they touch at exactly one point).","points":2},{"id":"50e6cdca-ef67-4f0f-9d92-7a08de49149b","cardType":"cloze","front":"

Quadratic Simultaneous Equations Flashcards

Quadratic Simultaneous Equations Flashcards

Quadratic Simultaneous Equations Flashcards

Quadratic Simultaneous Equations Flashcards