Quadratic equations Questions and Answers
Algebra
Quadratic equationsA chair and end table together cost 660 The chair costs twice as much as the table How much is the chair
Algebra
Quadratic equationsData File Available Download Scatter xlsx The following 20 observations are for two quantitative variables x and y Observation 40 0 20 1 40 2 3 4 5 6 7 8 9 10 40 30 20 22 10 33 49 2 13 0 y 29 16 13 22 23 8 21 28 10 10 27 35 14 5 3 3 20 Observation 30 11 40 12 13 14 15 16 17 18 19 20 a Develop a scatter diagram for the relationship between x and y y 60 40 20 0 20 X 40 37 48 34 9 33 20 3 y 29 7 18 31 16 15 18 14 12 17 20 11 22 40 30 20 10 0 10 20 30 40 60 40 20 0 20 40 b What is the relationship if any between x and y There is no relationship between x and y o There is a positive relationship between x and y because y decreases as x increases There is a negative relationship between x and y because y decreases as x increases There is a positive relationship between x and y because y increases as x increases Tation alationship between y and y because y increases as x increases Than 40 30 20 10 0 10 20 30 40 40 20 20 40 40 30 20 10 0
Algebra
Quadratic equationsThe graph illustrates the distribution of test scores taken by College Algebra students The maximum possible score on the test was 140 while the mean score was 77 and the standard deviation was 15 34 13 5 2 35 0 15 32 47 77 62 Distribution of Test Scores 92 107 122 What is the approximate percentage of students who scored between 77 and 92 on the test What is the approximate percentage of students who scored between 77 and 122 on the test What is the approximate percentage of students who scored higher than 107 on the test What is the approximate percentage students who scored between 62 and 92 on the test loc
Algebra
Quadratic equationsThe scores on a standardized test are normally distributed with a mean of 90 and standard deviation of 25 What test score is 1 3 standard deviations below the mean
Algebra
Quadratic equationsWhat are the solutions to the inequality x 3 x 5 0 x 5 x 3 x1 3 x 5 x 5 x 3 O
Algebra
Quadratic equationsWhich equation is y 6x 12x 10 rewritten in vertex form Hint graph both to see which one matches the graph y 6 x 1 4 y 6 x 1 16 y 6 x 1 10
Algebra
Quadratic equationsWhich inequality in vertex form presents the region less than or equal to the quadratic function y 1 z 1 3 Oy 2 1 3 Oy 2 1 3
Algebra
Quadratic equationsWhich value must be added to the expression x 16x to make it a perfect square trinomial Completing the Square what is the new c term 256 64
Algebra
Quadratic equationsWhich phrase best describes the translation from the graph y 6x2 to the graph of y 6 x 1 6 unit right 1 unit left
Algebra
Quadratic equationsA projectile is launched straight up from the ground with an initial velocity of 120 ft s If acceleration due to gravity is 16 ft s after about how many seconds will the object reach a height of 200 ft Graph the equation and find the x value where y is 200 h t 1612 120t
Algebra
Quadratic equationsQuestion Determine the domain on which the following function is decreasing 1 10 98 10 S 6 4 8 9 10
Algebra
Quadratic equationsWhich equation shows the quadratic formula used correctly to solve 7x2 9 x for x 1 1 4 7 9 2 7 X 1 1 4 7 9 2 7 1 1 4 7 9 2 7
Algebra
Quadratic equationsSolving Quadratics Solve each equation by factoring 11 24r 140 0 A 16 C 10 6 5 3 x 11x 13 13 A 18 16 C 11 0 5 n 14n A 14 0 C 1 8 B 10 14 D 4 1 7 m 121 0 A 3 2 C 13 0 B 15 5 D 20 0 B 10 0 D 1 7 B 17 7 D 11 11 9 m 6m 2m 128 A 3 0 C 3 5 B 16 8 D 16 7 4 22 x 9x 10 0 A 14 1 C 10 1 6 8 10 4 b 16b 17 2 A 7 5 C 15 6 6 p 29 p 180 A 9 0 C 16 15 10 4n 4n B 1 4 D 10 11 A 7 12 C 8 12 8 9x 2x 95 16x 10x A 14 4 C 9 18 B 8 15 D 1 15 B 9 20 D 9 6 B 19 0 D 19 5 102 6 3n B 12 4 D 1 11
Algebra
Quadratic equations7 15 102 15 100 15 2 1500 30 1530 Yukar da verilen 15 102 i leminde bo b rak lan yere a a dakilerden hangisi ya z lmal d r A 15 100 2 C 15 100 2 B 15 30 2 D 15 30 2
Algebra
Quadratic equations27 Show that the equation 15x c 0 has at most one root in the inter 2 2 28 Show that the equation x 4x c 0 has at most two real roots
Algebra
Quadratic equationsThe function y f x is graphed below What is the average rate of change of the function f x on the interval 6 x 2 20 16 12 00 12 9 20 6 8 10
Algebra
Quadratic equations3 Fill in the table shown for y value x V 1 2 Substitute the given value into the equation to find the missing 3 4 5 6 0 5
Algebra
Quadratic equationsIn an inverse variation x 6 y a What is the equation that represents the inverse variation b What is the value of y when x 15 b a
Algebra
Quadratic equationsWork Required Consider the following system of equations 2 g 3z 3 2z z 0 2y 7z 6 Solve the system and provide a geometric description of the solution set in R There is no solution A point Aline Aplane
Algebra
Quadratic equationsThe movement of the progress bar may be uneven because questions can be worth more or less including zero e Which function is represented by the graph below Of x 0 5x Of x e 0 5x Of x log 0 5x Of x ln 0 5x
Algebra
Quadratic equations3 Use the properties of equality to solve the equation 3x 2 x 11x 9 State which property justifies your first step and why you chose it Check your solution
Algebra
Quadratic equations1 Guess a number for x that would make the equation true Check your solution 5x 2 8 2 Use the properties of equality to solve the equation 7x 4 x 12 State which property justifies your first step and why you chose it Check your solution
Algebra
Quadratic equations3 Complete the following chart usilly these may not exactly match your periodic table 2 marks Mass Number 63 55 9moto qui pt to 29 Atomic Number Protons Symbol C4 m 29 Neutrons Electrons 29101327 Charge 2 2 X
Algebra
Quadratic equationsUsing the graph below complete the transformations h x x 1 2 1 The graph is 2 The vertex is horizontally shifted 3 The vertex is vertically shifted than the parent function 4 The vertex is located at units to the units
Algebra
Quadratic equationsShow What You which graph is red by the function 2 3 2 2y 2 6 V SH 12 31 12 2 14
Algebra
Quadratic equations9 2n 10n 132 0 11 a 10a 21 0 13 6m 42 4m 15 x 15 5x formula 10 3x 5 0 12 4v 2v 2 14 6v 22 16 6r 30 3r
Algebra
Quadratic equationsFactor each completely 1 8 x 5x 16x 10 1x 8x 5x 8x 5x 1x 2 x Sx 3 x 15x x 3 51 36342167 56 38 7 21a 49a 9a 21 9 7 8r 28r 32 12 30v 12v 25v 10 60 su 20 S Su 2 60 SXsu 2 4 28x 12x 47x 3 4x 7x 3 1 7x 3 4x 7x 3 6 fox 35x 48x 42 8 2k BY 2 8 16K 7k 56 10 49x 35x 21x 15
Algebra
Quadratic equations3 6 Using Quadratic Formula and Discriminant Homework AIC Find the discriminant of each quadratic equation then state the number and types of solutie 1 4x 8x 4 0 2 7x 5x 10 0 3 6x 7x 5 0 5 5n 6 8n 7 2x X 4 3m 6m 3 0 6 9p 1 6p PERK 8 4r 8r 6
Algebra
Quadratic equationsNAME Factor each completely 21 5r x 6 23 3x 5x 12 25 66 29b 9 27 3b 8b 4 29 10x 23x 6 22 7x 19x 6 2x 21x12x 6 7x 1x 3 2x 2 24 10x 9x 9 G 10 67 157 2x 5x 3 Ext 26 9k 62k 7 dk 126 4klk 14 L 28 2x 7x 9 2x2 0 x 2x 30 4n 11n Cynz g 4 NCC
Algebra
Quadratic equationsReview Factoring 1 Notes Homework SSE Factor the common factor out of each expression 1 7p 3p 6p 9p 3 18 18x 81x 18x 5 21x 14x Factor each completely 7 k 12k 35 9 x 7x 6 11 5x 35x 30 2 40x 50 45x 15x 5 8x 10 39 4 15m 10m SM 3M 2 6 9n 81n 9n 45n 41 4 1 9n 1 sps 8 n 3n 28 10 x 15x 50 15 x x 10 12 2x 20x 18 2 x x 4 2 x 4 x 1
Algebra
Quadratic equationsName Algebra 1 Review Factoring GCF a 1 GCF then a 1 Factor the common factor out of each expression 1 90x 63x 3 7k 21k 5 2v 14v Factor each completely 7 n 11n 30 9 v 10v 9 2 81x6 90x4 36x 63x 4 100v5 40v 80v 90v 6 24n5 30n 24n 6n 8 x x 72 10 r 90
Algebra
Quadratic equationsDetermine the open intervals on which the function is increasing decreasing or constant Enter your answers using interv notation If an answer does not exist enter DNE f x x 2x Encreasing decreasing constant 2 1 y 6 6 2 1 2 3 4 X
Algebra
Quadratic equationsDivide x 8xy 20 x 8xy 15y Simplify your answer as much as possible 0 2 x 2y 4x 20y 5 X
Algebra
Quadratic equations92 Cost of Driving The cost of driving a car includes both fixed costs and mileage costs Assume that insurance and car payments cost 350 per month and gasoline oil and routine maintenance cost 0 29 per mile a Find a linear function f that gives the annual cost of driving this car x miles b What does the y intercept on the graph of f represent
Algebra
Quadratic equationsQuestion Click and drag like terms onto each other to simplify fully 6y 2x 2x 7y 6x 2y 7 7 6y 4x 7y 6x 2y
Algebra
Quadratic equations1 The parent function for each function below is y x Graph each function below on a separate piece of paper take a picture and upload Do not use a graphing utility use transformations a y x 2 b y x 1 c y 3 x 1 4
Algebra
Quadratic equationsIn many classes a passing test grade is 70 Using the formula A 10 R what raw score R would a student need to get a passing grade after her score is adjusted The student would need a raw score of Check The voltage V of an audio system s speaker can be represented by V 4 P where P is the power in watts of the speaker An engineer wants to design a speaker with 400 watts of power What will the voltage be The voltage would be volts