High School Algebra Questions
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High School Algebra
Quadratic equationsWhich characteristic is correct for the function f x 2x 3x O both even and odd O even O neither even nor odd O odd
High School Algebra
Permutations and CombinationsWhat is f g a f x x 36 9 x x 2x 10 Enter your answer in standard form in the box f g x
High School Algebra
Sequences & SeriesThe graph shows the commission eamed for each week of employment Which statements are true Select each correct answer D The commission earned increased in the beginning of employment and after week 11 D About 110 in commission were initially earned A commission of 320 for a week was earned three times over the first 10 weeks The end behavior is the same on both sides of the graph The amount of the commission earned decreases between the fifth and eleventh week of employment Commission earned 400 380 360 340 320 300 280 260 240 220 200 180 160 140 120 100 80 60 40 20 0 13 5 6 7 8 9 10 11 12 13 14 15 16
High School Algebra
Complex numbersWhich description compares the domains of Function A and Function B correctly Function A f x x Function B 10 8 10 B g x 9 2 2 8 10 40 10 B The domain of both functions is the set of real numbers less than or equal to 0 The domain of Function A is the set of real numbers greater than 0 The domain of Function B is the set of real numbers greater than or equal to 0 The domain of Function A is the set of real numbers greater than 0 The domain of Function B is the set of real numbers less than or equal to 0 The domain of both functions is the set of real numbers greater than or equal to 0
High School Algebra
Quadratic equationsWhich graph represents the function f x x x 6 7 6 5 4 1 2 3 4 5 6 7 7 6 5 4 3 2 1 2 3 4 5 6 7 7 6 5 8 3 2 8 7 1234567 7 6 5 4 3 234567
High School Algebra
Quadratic equationsWhich graph represents g x x 3 2 5 4 3 2 9 x 0 8 9 10 10 8 6 4 2 g x 32 N 5 6 0 0 7 6 5 4 3 2 g x 9 x 2 3 8910
High School Algebra
Complex numbersWhat is the average rate of change from 0 to 2 of the function represented by the graph 3 y 2 1 Enter your answer in the box 2 3
High School Algebra
Complex numbers4 Probability Given the following frequency table answer the following questions Left hand 71 Male Female 7 Total 18 Right hand 3 Total 14 19 26 22 40 a How many variables does the table have b Are the variables categorical or quantitative c What percent of all students are females d What percent of students are males with right hand
High School Algebra
Quadratic equationsPrint Assessment function h given by h x f x using BLUE marker given by g x f x using RED marker YA 8 10 8 00 6 4 y f x 93 2 NU 0 0 4 2 4 1 1 6 4 2 00 NU 2 4 6 8 op 10
High School Algebra
Complex numbersThe table shows the values of a function f z What is the average rate of change of f a from 1 to 1 H f x 3 3 2 1 1 3 0 11 1 27 2 59
High School Algebra
Complex numbersLet f z z 4 What is the average rate of change of f x from 8 to 14 Round your answer to the nearest hundredth 5 16 O 0 19 0 0 19 05 16
High School Algebra
Quadratic equationsSubtract the rational expressions X 10 x 2 x x 6 A x 5 x 3 B x 2x 10 x 2 x 3 C x 3x 10 x 2 x 3 D x 10 x 2
High School Algebra
Permutations and CombinationsThe public university he wants to attend to estimate the cost of attending TUITION FEES 8 000 a What should Darnell estimate the total cost of one year to be ROOM POARD 9 100 DOOKS SUPPLIES TRANSPORTATION ETC 950 650 b Darnell s family can contribute 60 of the total annual expenses before financial aid and Damn estimates that he will qualify for 6 000 in scholarships and grants for his first year How much does that leave for Darnell to cover for his first year of college c If Darnell has 18 months to save how much should he save each month
High School Algebra
Quadratic equationsUsing f x log x what is the x intercept of g x log x 4 Explain your reasoning
High School Algebra
Quadratic equations4 y x 3 3 y x 2 2 543 2 1 A 5 B Infinite number of solutions C 4 D 4
High School Algebra
Complex numbers2 y 21 2 A B d 714 246 1 Made with retinitramural graph represents the function A B C D 4 What is the y intercept Type a response
High School Algebra
Quadratic equationsBirim emberde Trigonometrik Oranlar 6 X m Yukar daki O merkezli birim emberde cos 34 du una g re n ka t r 1 1 edmeid its B C D 7 bri E 3 cunia Claim
High School Algebra
Quadratic equations48 6x Be sure to show your thinking 2 Solve 3 Solve 15x 60 240 3x 8 11
High School Algebra
Matrices & Determinantsa A florist is making 5 identical bridesmaid bouquets for a wedding She has 610 to spend including tax and wants 24 flowers for each bouquet Roses cost 0 each tulips cost 4 each and lilies cost 3 each She wants to have twice as many roses as the other 2 flowers combined in each bouquet Write the three equations representing the above scenario using r t and I to represent roses tulips and lilies Do not write any dollar signs or put any spaces If using all three variables answer should be written in order of r then t then I Part A The equation representing the TOTAL cost of ALL flowers would be Part B The equation representing the information given in the FOURTH sentence She wants to have twice as many roses as the other 2 flowers combined in each bouquet Part C The third equation representing the TOTAL flowers is b Part D Write the matrix equation that represents this scenario
High School Algebra
Matrices & DeterminantsWrite the equation of the determinant of the following matrix
High School Algebra
Matrices & Determinants11 Simplify the following 3 7 4 17 6 14 i 1 A 14 24 1 12 18 10 0 192 0 B Cannot Solve C 14 1 18 5 14 5 D 18 17
High School Algebra
Matrices & Determinants12 Find the inverse of the matrix 2 0 2 0 10 3 0 1 0 25 0 0 5 0 1 0 A 0 75 0 0 5 0 25 0 0 5 B 0 1 0 0 75 0 0 5 c The inverse does not exist 125 0 0 25 D 0 1 0 0 375 0 0 25
High School Algebra
Matrices & Determinants14 Solve the following matrices to find the missing number and write your result in the empty box provided below
High School Algebra
Matrices & DeterminantsSolve the following system of equations algebraically for all values of a and 3y 52 45 62 3y 22 10 9a 3y 82 72
High School Algebra
Matrices & Determinants8 If Q is a 3 x 3 matrix with inverse Q 1 then QQ 1 1 1 111 1 1 100 0 1 0 001 001 0 10 1 00 0 0 0
High School Algebra
Matrices & Determinants5 Determine which matrix does not have an inverse 3 0 1 3 95 28 1 B 1 95 C 28 0 10 0 28 3
High School Algebra
Matrices & DeterminantsSelect the difference matrix below 6 3 6 2 4 1 5 1 1 4 6 3 2 14 A 2 3 B D 4 4 5 10 0 2 1 8 12 212 1 4 507 5 10 0 6 8
High School Algebra
Quadratic equationsGiven the function f x x 7x 10 x 9x 20 Describe where the function has a vertical asymptote and how you found your answer Remember that an asymptote is represented by an equation of a line and not just a single value Part B Given the function f x x 7x 10 x 9x 20 Describe where the function has a hole and how you found your
High School Algebra
Complex numbersDesiree s Desserts wants to serve a dessert at 0 C A food inspector takes the temperature for two versions of the dessert The first sample is 4 C and the second sample is 2 C Which statement about the two samples is correct O The temperature of the second sample is 2 degrees farther from O than the temperature of the first sample The temperatures of the samples are the same distance from O but in opposite directions O The temperature of the first sample is less than the temperature of the second sample The temperature of the second sample is less than the temperature of the first sample
High School Algebra
Matrices & DeterminantsSiobhan Jack and Riley are exploring a coral reef They swim down to different positions relative to the water s surface as shown in the table Which person swam the farthest HINT Draw a number line to help you What is the water s surface on the number line Position Relative to Person Water Surface ft Siobhan 8 Jack 5 4 Riley 11 O Siobhan O Jack
High School Algebra
Complex numbersUse the number line below to answer the question that follows 9 Which of the following has the GREATEST value 0 9 0 4 01 41 01 91 0
High School Algebra
Complex numbersHow does the graph of g x 2 4 compare to the parent function f x O g x is shifted 2 units to the left and 4 units up from f x O g x is shifted 2 units to the right and 4 units up from f x O g x is shifted 2 units to the right and 4 units down from f x O g x is shifted 2 units to the left and 4 units down from f x
High School Algebra
Quadratic equationsName the Vertical and Horizontal Asymptotes f x 2 O f x has a vertical asymptote at x 5 and no horizontal asymptote O f x has a vertical asymptote at x 2 and a horizontal asymptote at y 5 Of x has a vertical asymptote at x 5 and a horizontal asymptote at y 2 Of x has a vertical asymptote at x 5 and a horizontal asymptote at y 2
High School Algebra
Quadratic equationsLook at the graph 10 5 X 10 5 0 5 10 5 10 What is the equation of the horizontal asymptote
High School Algebra
Complex numbersWhat is the horizontal asymptote f x Oy 2 There is no horizontal asymptote y 0 Oy 2
High School Algebra
Quadratic equationsThe total cost of a vacation to a rain forest includes a fee of 560 for the tour guide plus 630 per person 560 630x The function y models the average cost per person in dollars when x people go on the vacation x What is the horizontal asymptote of the function choose your answer choose your answer 560 4 25 points 630 A horse owner has 50 lbs of hay that is 6 protein 1 0 06 50 0 12x The function models the 0 at is 12 protein by weight
High School Algebra
Sequences & SeriesThe table shows how the time it takes a train to travel between two cities depends on its average speed Average Speed x mph 32 Time y hr 5 40 4 50 64 32 2 5 This rational function choose your answer hour choose your answer y 160 x 2 25 points y 6 4 x What does the numbe y x 160 y x 6 4 A models the time y in hours that it takes the train to travel between the two cities at an average speed of x miles p action that models the situation choose your answer
High School Algebra
Complex numbers2 g x 2x 4 1 f x x 1 15 h x 5 x 2 2 f x 2 2x 16 f x x 5 2 h x x 1 4
High School Algebra
Quadratic equationsFind the inverse of each function 9 f n n 5 10 f x 5x 3 11 f n 4 2 n 2 12 f x x 3 2
High School Algebra
Permutations and Combinations2 f x x 3 g x 2x 5 Find f 3 g 3 4 f t 2t 1 g t 1 2 Find 3 10 2g 10 6 f x x 1 g x x 2 Find 2f 3 5g 3 8 g x x 3 Find g g 0
High School Algebra
Quadratic equationsFind g 6 h 6 5 f n 4n 4 g n 3n 2 Find f g 8 7 g x 3x 2 f x 2x 2 Find g 1 3 1
High School Algebra
Sequences & Series2 Two children are playing with a ball The girl throws the ball to the boy The ball travels in the air curves 3m to the right and falls 5m away from the girl as shown below If the plane that contains the trajectory of the ball is perpendicular to the ground find its equation 5m
High School Algebra
Quadratic equationsIn which quadrant do each of the following angle lie is in Quadrant 5 is in Quadranti
High School Algebra
Complex numbersGiven the initial and terminal sides find the following 20 A positive angle measure between 0 and 360 A negative angle measure between 360 and 0 The first positive angle measure greater than 360