hcards","topicId":"663fb734-064b-4b6b-81eb-6a6143372f6f","topicSlug":"simultaneous-equations","cards":[{"id":"c6b2c328-8926-4872-9a44-0e700585dc30","cardType":"basic","front":"What condition must an ordered pair meet to solve simultaneous equations?","back":"It must make every equation true when substituted.","points":1,"mcqOptions":null},{"id":"63f0672a-40f6-43c8-91ec-63c81cdbd50f","cardType":"basic","front":"How is a solution in variables $x$ and $y$ normally written?","back":"As an ordered pair $(x,y)$.","points":1,"mcqOptions":null},{"id":"a192bea0-6012-460c-9715-44161af4fd61","cardType":"cloze","front":"For two linear equations, the simultaneous solution is their [ ].","back":"For two linear equations, the simultaneous solution is their point of intersection.","points":null,"mcqOptions":null},{"id":"94564300-a7f7-4b6c-b8f3-277b072895a1","cardType":"basic","front":"Which operation eliminates equal coefficients with the same sign?","back":"Subtract the equations.","points":1,"mcqOptions":null},{"id":"ad4f5c4f-0e1d-4fcf-b37a-b068261e1c55","cardType":"basic","front":"Which operation eliminates equal coefficients with opposite signs?","back":"Add the equations.","points":1,"mcqOptions":null},{"id":"3286f320-fe4e-45ea-ba01-45940f392c55","cardType":"cloze","front":"Elimination combines equations so that one [ ].","back":"Elimination combines equations so that one variable cancels.","points":null,"mcqOptions":null},{"id":"87b0b9ad-f26e-4d5f-ad6c-51c3d340fe43","cardType":"basic","front":"What must happen to every term when subtracting an entire equation?","back":"Every term must change sign.","points":1,"mcqOptions":null},{"id":"69ba75b7-ebb6-4195-8d32-b325b4b0d3b4","cardType":"basic","front":"What should you do before elimination if the required coefficients do not match?","back":"Multiply one or both equations to create matching coefficients.","points":2,"mcqOptions":null},{"id":"bf4b4a3a-a43f-4374-9776-d60677fa4f61","cardType":"basic","front":"How can you choose an efficient variable to eliminate?","back":"Choose coefficients with the easiest lowest common multiple.","points":2,"mcqOptions":null},{"id":"4ec8bc80-81c0-4a93-9391-5ca8ea5c4a9e","cardType":"cloze","front":"Substitution replaces a variable with an [ ].","back":"Substitution replaces a variable with an equivalent expression or value.","points":null,"mcqOptions":null},{"id":"adbbc5a7-b2dc-4b1e-9bf1-3b3c4bbab83d","cardType":"basic","front":"When is substitution usually particularly convenient?","back":"When one equation already has $x$ or $y$ as the subject.","points":1,"mcqOptions":null},{"id":"092679dd-283c-4e65-8082-6e239db25722","cardType":"basic","front":"If $y=2x-3$, what must replace $-4y$?","back":"$-4(2x-3)$","points":1,"mcqOptions":null},{"id":"9dd86a31-bab2-48b5-9869-1ca61e5ca0c5","cardType":"basic","front":"Solve $2x+3y=19$ and $2x-y=7$.","back":"$(x,y)=(5,3)$","points":3,"mcqOptions":null},{"id":"f2341bb2-6185-4511-92c7-cf2bc7ce15ea","cardType":"basic","front":"Solve $y=2x+1$ and $3x+y=16$.","back":"$(x,y)=(3,7)$","points":3,"mcqOptions":null},{"id":"f4c7fe84-9257-4691-af84-e4fe89e8ebb5","cardType":"basic","front":"After multiplying $3x+2y=16$ by 3 and $2x-3y=-5$ by 2, what equation results when they are added?","back":"$13x=38$","points":2,"mcqOptions":null},{"id":"0a9f01ac-60cb-458d-b536-e34e29813919","cardType":"basic","front":"Why must both quadratic roots be used in a linear-quadratic system?","back":"Each root may produce a different intersection point.","points":2,"mcqOptions":null},{"id":"a5c34c57-4b94-

1.5.4 Simultaneous equations Flashcards

1.5.4 Simultaneous equations Flashcards