Algebra Questions

The amount of protein supplied by five different food products A B C D and E costs are 2 00 2 20 2 50 4 00 5 00 respectively for 10 grams of product Which of the five food products supplies the most protein per dollar O A OB

A zoologist is studying the reproduction rates of two different breeds of chinchillas in country Y He discovered that the Eastern chinchillas in his study produced 30 percent more offspring than the Western chinchillas did Based on the zoologist s observation if the Eastern chinchillas in his study produced 143 offspring how many offspring did the Western chinchillas produce 100 103 110 186

The specific heat capacity of substance K in calories per gram cal g is approximately 30 less than that of methyl alcohol The specific heat capacity of methyl alcohol is 0 60 cal g Which of the following is closest to the specific heat capacity in cal g of substance K

Boyd grows only tomatoes and raspberries in his garden Last year he grew 140 pounds of tomatoes and 60 pounds of raspberries This year the production by weight of tomatoes decline by 20 percent and the production by weight of raspberries declined by 50 By what percentage did the total yield by weight of Boyd s garden decline O29 percent 30 percent O 35 percent 70 percent

In the year 2008 a baseball player had 80 RBIS In the year 2009 he had 140 RBIS In the year 2010 he had 120 RBIS What was the percent increase in his number of RBIs from 2008 to 2010

A certain high school has 250 students in the sophomore class Each sophomore selects an elective class 40 students take art 100 take music 60 take gym and the rest take computers Which class is chosen by 40 of the students Music Gym Computers

A high school basketball team won exactly 65 percent of the games it played during last season Which of the following could be the total number of games the team played last season no calculator O 22 O 20 18 14

Which of the following numbers are equivalent 1 05 II 15 TA 0000

k Marty owns an electronics store One week he decides to have a sale in which he decreases the price of a TV from 500 to 425 What was the percent decrease in the price rounded to the nearest whole percentage point if needed O 7 O 15 18 75

Three friends go to dinner At the end of the meal they decide to leave a 15 tip for their waitress If the bill is 21 00 the total cost of the meal will be which of the following 3 00 15 00 24 15 3 15

You can retry this question below 5 4 3 5 3 2 29 S 6 1 2 3 The function graphed above is Increasing on the interval s 1 1 5 13 Decreasing on the interval s 0 1 U 15 80

8 What are the factors of the polynomial function Use the rational root theorem to determine the factors f x x x2 10x 8 The possible rational roots are 2 11 12 14 18 o x 1 o x 1 0 x 2 o x 2 0 x 4 o x 4 o x 5

3 Which graph represents f x 2x8 Explain how you know based on the sign of the leading coefficient and degree of function

Following surgery a patient has been receiving a pain relief medication intravenously The concentration C in milligrams per liter of the medication in the patient s bloodstream t hours after this process started is given by C t 50t 10 5 a The patient will not receive pain relief unless the concentration of the medication is 15 or more milligrams per liter Use this function to determine the time interval for which the concentration of the medication C will be greater than or equal to 15 milligrams per liter The time interval for which the patient will receive pain relief is Express your answer in interval notation and round any decimals to the nearest tenth of an hour hours b If the intravenous medication continues to be given to the patient that is as time goes on and t approaches oo the concentration will approach milligrams per liter Question Help

500t The population of Sasquatch in Salt Lake County was modeled by the function P t t 50 t 0 represents the year 1803 When were there fewer than 75 Sasquatch in Salt Lake County 4 Present your answer to the nearest whole year in interval notation There were fewer than 75 Sasquatch in Salt Lake City between the years Quortion Helps where

3 Which graph represents f x 2x Explain coefficient and degree of function

D 1 2 5 x y23 B M 6 3 D 4 6 61542 7x 3y2 24

are LL C ualities mach system of inequalities 2 A B zoom in

3 of inequalities 2 2 y2 1 1 A B 4 D B 5

53 3 12 12 1 4 2

3 x 3y 9 x 3y 3 A B C D 4 4 2r FS 3 4x y 3 A B D

7 D 1 ys x 3 P 3 A 1 B 2 M 8 3 8 y 2 13 X 6X 6 A B D 4

7 12 24 16 WITH 10 10 2x 2 y2 x 3

1 arch Algebra Prep 222 Ke Seftware LLC Graph linear Inequalities Sketch the solution to each system of inequalities 1 y2 x 3 y23x 1 A 2 D 21 B

9 1 5x 2y 10y Xx 46 A 3 7 C 1 7 B 3 7 D 3 7 10 10 24 9x 2y 0 5y 29 7x A 2 3 G 2 9 B 9 2 D 2 9

1 Try It Unit 1 Lesson 2 Directions Fill in the table The first one is done for you as an example Example 2 3 yi 10 10 20 30 y X 4 3 2 1 4 Answer based on the continuous function that is given in this table f y 1 0 1 2 Value of the zero s 3 0 2 Value of the y intercept s 0 Identify the interval s where the function is negative 3 x 0 2 x 00 Identify the interva where the function positive x 0 x

For the function f x x 1 construct and simplify the difference quotient 5 Simplify your answer Use integers or fractions for any numbers in the expression f x h f x h Answer

For the given functions find fog x and gof x and the domain of each f x x 5x 3x 10 g x x 1 a Find fog x b What is the domain of fog x Use interval notation c Find gof x d What is the domain of gof x Use interval notation

The point 16 3 is on the graph of y f x Find the corresponding point on the graph of y g x where g x f x Simplify your answer Type an ordered pair x y

For problems 13 and 14 use the following information f x 4x 1 g x x 2 Find fog 7 Answer Find gof 7

Directions Fill in the table The first one is done for you as an example 1 Example y 10 10 201 30 40 W M y 84 67 ut al 6 8 Value of the zero s 3 0 2 Value of the y intercept s 0 Identify the interval s where the function is negative 3 x 0 2 x Identify the interval s where the function is positive x 3 0 x 2

7 2y 3x 9 4a b 3ab 3 11 x 8 4v vu 2 10 x y x y 2 12 2x

6 4 5x 16 8 1 5a 2 29

Given that h x x 5 and g x x 4 find g h 4

7 2r 1 11 9 2n 6 6

1 2m 2m 3 4 2 2 m 2m 4 4n 2n 2x v3 2x7 6 2x

4r 3k 16 4

Solving Absolute Value Equations Solve each equation 1 3x 9 3 b 5 1 2 3r 9 Date 4 6m 30

The amount of a sample remaining after t days is given by the equation P t A 3 where A is the initial amount of the sample and h is the half life in days of the substance A scientist has a 10 mg sample of a radioactive isotope The isotope has a half life of 8 days After 16 days how much of the radioactive isotope remains 2 0 mg 7 1 mg 5 7 mg 2 5 mg

5 7 15 9 5 x y 2 2 0 44 8x 36y A 7 10 9 4 0 7 8x 4y 4 9 12y 3x A 8 1 C 1 1 9 1 5x 2y 10y 8x 46 A 3 7 C 1 7 B No solution D 7 10 B 1 1 D 1 1 B 3 7 D 3 7 6 8 10 6 20 9y 5x 6x 24 18y 0 A 0 6 C 4 0 8 9y 7x 18 6x 9 7y A 9 9 C 9 9 B 0 8 D 0 8 A 2 3 C 2 9 B No solution D 9 9 10 24 9x 2y 0 5y 29 7x B 9 2 D 2 9

Solve the inequality 2r 9 7 or 7z 5 30 In the blanks below fill in the inequality symbol and number to your solution

Given the absolute value inequality which of the following are part of the solution Select all that apply 10p 4 34 A B D 1 C 7 1 3 LL 10 1 E 3 5 1 2

Zhan has a credit card charge of 250 on a card that charges 19 annual interest compounded daily If he makes no other charges or payments on the account what would be the balance of his account in 1 year Round to the nearest whole dollar Use A p 1 957 323 832 302

Mario bought a new car for 25 000 The value of the car is decreasing at a rate of 12 5 every year After 3 years the value of the car will be about how much Round to the nearest whole dollar Use A p 1 r 16 748 16 750 35 596

can automatically know if the graph of an absolute value inequality is an And or Or just by looking at the inequality symb O Faise

Solve the absolute value inequality 4x 5 11 X and x V

In 2014 the population of Kenya was estimated to be 45 121 040 with a growth rate of 3 each year Which of the following models the estimated population in t years OP t 45121040 1 03 OP t 45121040 0 97 P t 45121040 0 03 OP t 45121040 1 3

Which graph shows the solution set to the compound inequality 2 8 4x and 3x 5 A B C 6 4 20 2 4 6 6 4 202 6 4 6 46 2 4 20

Find the composition f g x in simplest form and describe its domain f x X x 2 and g x 1 2x

4 I found forty coins when I cleaned out the couch There were quarters and dimes I had enough money to buy a Chick Fil A meal and a brownie for 5 80 What is the number of quarters I found The variable The variable quation 1 Tork Ang represents the represents the Equation 2