High School Algebra Questions

Which characteristic is correct for the function f x 2x 3x O both even and odd O even O neither even nor odd O odd

What 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

The 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

Which 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

Which 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

Which 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

What 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

4 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

Print 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

The 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

Let 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

Subtract 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

The 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

Using f x log x what is the x intercept of g x log x 4 Explain your reasoning

17 y 4 2 2 12 A B C 8 y 3 2 2 A B C D D 10

4 y x 3 3 y x 2 2 543 2 1 A 5 B Infinite number of solutions C 4 D 4

y 2x 2 1 y x 1 54 2 3 4 x A 3 2 C 2 3 B 2 2 D 2 2

2 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

9 5 y 2 3 2 A 10 10 B C te 15 te 6 y 5 2 2 A C D D B

the inverse shown below over the line y x B 6 y by 5

Birim 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

48 6x Be sure to show your thinking 2 Solve 3 Solve 15x 60 240 3x 8 11

a 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

Write the equation of the determinant of the following matrix

11 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

12 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

14 Solve the following matrices to find the missing number and write your result in the empty box provided below

Solve the following system of equations algebraically for all values of a and 3y 52 45 62 3y 22 10 9a 3y 82 72

8 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

5 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

Select 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

Given 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

Which number has the greatest ABSOLUTE value 2 1 4 5 02 0 1 S

Desiree 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

Siobhan 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

Use 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

How 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

graph represents f x 2 10 10 0 10 5 0 10

Name 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

Look at the graph 10 5 X 10 5 0 5 10 5 10 What is the equation of the horizontal asymptote

What is the horizontal asymptote f x Oy 2 There is no horizontal asymptote y 0 Oy 2

The 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

The 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

2 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

Find 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

2 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

Find 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

2 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

In which quadrant do each of the following angle lie is in Quadrant 5 is in Quadranti

Given 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