Algebra Questions

Which 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

Which 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

Which 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

Which 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

Which expression is equivalent to 73 1

Which phrase best describes the translation from the graph y 6x2 to the graph of y 6 x 1 6 unit right 1 unit left

A 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

Melissa 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

Question Determine the domain on which the following function is decreasing 1 10 98 10 S 6 4 8 9 10

Which 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

What is the square root of 16 8i Ai

Solving 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

7 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

6 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

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

to 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

Solve 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

6 0 cosx 1 2sin2x

Determine whether the given equations are linear or nonlinear 19x 1 0 x 19 0 19 x 0

b How many games can be stored if the average game size is 0 5 GB

27 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

2 Asymptotes for f x 1 x

4 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

procal Function Notes Reciprocal Function f x Ex 1 Graph f x 2 1 0 1 Y 2

16 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

The 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

Work required Use the inverse to solve the linear system z 2y z 2 2 2y z 4 z 2y z 2 H Z

2 Graph f x 3x X Y Name the asymptotes Domain Range

3 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

Work 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

1 25 5 2 12 75 3 8 50 5 5 10 6 4 25 1

6 6 3 5 5 5 4 4 7 3 3 9 2 2 11 1 1 13

1 Graph x X y Name the asymptote Domain Range

In 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

Work 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

Work 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

x y 2 6 2 6 4 12

A Ais O singular O invertible 26 O the identity matrix

Work 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

Work 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

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

Work 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

The inverse of the inverse of a nonsingular matrix A is equal to A itself 0 True Fallve

The following is a linear equation sin 2 x 3y 6 O True O False

The 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

3 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

1 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

Exercises 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

3 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

Using 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