Algebra Questions
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
Algebra
Complex numbersWhich inequality in vertex form represents the graphed region 16 32 32 28 24 20 16 12 8 4 0 4 8 Y 12 24 2 4 6 8 10 12 14 16 18 20 22 24 v x 16 32 y 2 x 16 32 XI

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
Complex numbersMelissa and Tomas are playing a game with complex numbers If Melissa has a score of 5 4i and Tomas has a score of 3 2i what is their total sco 8 61 8 61 8 21

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
Sequences & Series6 B x 50 29 2x 62 Yukar da verilenlere g re A x is leminin sonucu ka t r A 92 B 112 C 118 D 126

Algebra
Sequences & Series219 th 9 J If eacb D tm note 4700mm f 4 7m Find the values of Gibi Cidie tigh Spucking in 200mm 166 E

Algebra
Permutations and Combinationsto each following statements Explain A Street adresses are a a zip code B 10g x 3 105x 1093 C false The function function function of 9 cx 2 is an odd d the graph of the function f x 8x bx where b c and d are real humbers may have 9x Intercepts cx d an e The function h x 2x 3 has oblique Slant asymptote SX 4 fe The circle x 9 4 25 has 5 cente at the point 0 4 and a radius of 5

Algebra
Complex numbersSolve each equation for 0 x 360 3 a sin x 2 d tanx 3 g cosx 1 2sinx Sequences and Series b V2cosx 1 0 e V2cosx 1 sin x 1 0 h cos x 1 sin x c 2sinx 1 0 f 2 cos x 3 cosx 1 i 15sin x sinx 2


Algebra
Complex numbersDetermine whether the given equations are linear or nonlinear 19x 1 0 x 19 0 19 x 0


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
Sequences & Series4 The number of downloaded games that can be stored on a video game system varies inversely with the average size of a video game The number of video games n that will fit on a certain video game system is modeled by n where s is the average game size in GB 320 7 a Complete the table then graph the function Game size GB s 1 0 2 5 Number of Games n 3 0 4 0 b How many games can be stored if the average game size is 0 5 GB 5 4 600 400 300 200 400 3 2 1 100 200 300 400 500


Algebra
Sequences & Series16 Solve the following quadratic equation for all values of in simplest form 5 x 4 10 10 Lip 21 What are the roots of the equation 12x x 1 0 A 1 47 24 C and WIT B D and 1 1 47 24

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
Matrices & DeterminantsWork required Use the inverse to solve the linear system z 2y z 2 2 2y z 4 z 2y z 2 H Z


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
Sequences & SeriesWork required Solve the homogeneous system of linear equations using Gauss Jordan Elimination or Gaussian Elimination Parametrize solutions if appropriate using y t t E R Provide the solution for each variable in the blanks provided 2 2 32 0 27 2y 3y 0




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
Matrices & DeterminantsWork required If possible write the column matrix b as a linear combination of the columns of A if column 1 is A column 2 is A2 and column 3 is As Parametrize your solution with 23 t t ER and then find the particular solution when t 1 Write your answer in these terms entering the coefficients in the blanks below If not possible type NS in each blank for the coefficients 1 2 4 A 1 0 2 b 2 0 1 3 Solution b A



Algebra
Matrices & DeterminantsWork required Determine whether x is a solution to the linear system Use a matrix equation and not row operations 1 2 1 A 1 1 2 x X 2 1 2 Select Select is is not 1 b 2 6 a solution to the system

Algebra
Permutations and CombinationsWork required Determine the polynomial function whose graph passes through the following points 2 5 3 2 4 5 If you do not need a term in your answer enter zero as the coefficient in the blank provided p z 2 4 x X

Algebra
Matrices & DeterminantsIf we have a linear system of two equations in three variables will this system necessarily have infinitalu Explain your answer Edit Formal

Algebra
Matrices & DeterminantsWork required Salve the homogeneous system of linear equations using Gauss Jordan Elimination or Gaussian Elimination Parametrize solutions if appropriate using zy t t E R Provide the solution for each variable in the blanks provided 2 2y 3z 0 23

Algebra
Sequences & SeriesThe inverse of the inverse of a nonsingular matrix A is equal to A itself 0 True Fallve


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
Complex numbersExercises Write each degree measure in radians as a multiple of r and each radian measure in degrees 1 250 2 6 4 870 7 4m 10 H 16 2006 Degrees Radians 5 18 13T 30 11 2 56 Identify all angles that are coterminal with the given angle 13 5 14 135 MOON YOAS 15 ST 3 145 6 820 9 1 39 12 7T Hall Precalculus

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