 Algebra
5 n 4n 4 n n 2 A B C D 5n 1 5n 8 5 n 1 n 2 1 2 85 2 2 1 n 1 5n 8 5n 1 5 6 6 12k 24 12k 32 A B C D 3 K 2 3k 8 Sk 4 7k 9 k 10 k 5 k 5 k 10 8 3 0 2 1 7 5 10 7 Algebra
1 Simplify each and state the excluded values v 6v 16 v v 2 1 9 A 9 4 V 4 6 1 B C D v 1 v 1 v 8 1 2 8 2 2 2 24a 8a 40a 48a A B C D 2a 7 3a 5 5a 6 3a 1 a 5 a 10 3a 1 Sa 6 0 11 10 5 0 Algebra
Let log A 2 log B 8 and log C 5 Evaluate the following logarithms using logarithmic properties 1 log 2 log 3 log A5 B C 3 B A BAC Question Help Port A Algebra
5 n 4n 4 n n 2 A B C D 7 A B C 5n 1 5n 8 n 1 D n 2 n 2 7x 35 x x 20 x 2 n 1 5n 8 1 5n 1 5 x 7 7 8 5 2 x 4 x 1 2 1 7 1 4 5 0 9 10x x 7 x 2 2 1 6 8 6 12k 24 12k 32 A B 8 C D A B C 3 k 2 3k 8 D 5k 4 7k 9 k 10 10p 10 p 4p 5 k 5 k 5 k 10 P 5 4p 4p P 5 10 0 P 5 P 5 10 8 3 7 5 7 10 7 0 3 5 3 5 1 1 Algebra
A small lake is stocked with a certain species of fish The fish population is modeled by the function 10 1 4e 0 6t P where P is the number of fish in thousands and t is measured in years since the lake was stocked a Find the fish population after 5 years Round your answer to the nearest whole fish fish b After how many years will the fish population reach 5000 fish Round your answer to two decimal places vr Algebra
A graphing calculator is recommended Use a graphing device to find all solutions of the equation rounded to two decimal places Enter your answers as a comma separated lis log x x 1 X Algebra
Clint is making a 10 lb bag of trail mix for his upcoming backpacking trip The chocolates cost 4 00 per pound and mixed nuts cost 7 00 per pound Clint has a budget of 6 10 per pound of trail mix Use the variables c and n to represent the number of pounds of chocolate and the number of pounds of nuts he should use respectively Determine a system of equations that describes the situation Enter the equations below separated by a comma How many pounds of chocolate should Clint purchase C pounds How many pounds of mixed nuts should Clint purchase pounds Algebra
Unit 3 Please answer all parts of the question Math 3 7 1 Key Features of Radical Functions e Consider the function f x 2 x 3 4 1 Record all of the transformations of f x from the parent function g x A a x n K h Q71 Stretch 02a21 Compress Zaz 2 k left or Right or down up Determine the domain and range moves right 3 up 4 f x has Reflection across stretches 2 look at the desmos look at beginning 3 4 table lues Algebra
A local theater sold 200 tickets to a matinee play with a total revenue of 2 104 00 Each adult ticket cost 15 00 and each child s ticket cost 8 00 Use the variables a and c to represent the number of adult tickets sold and the numbe of children s tickets sold respectively Determine a system of equations that describes the situation Enter the equations below separated by a comma How many adult tickets were sold a tickets How many children s tickets were sold tickets Algebra
Part 2 Solve by factoring 3 2x 9x 5 0 Algebra
Establish the identity 1 tan 0 cos 0 1 Rewrite the left side expression by expanding the product Do not simplify Algebra
f x 7 3 e 4 solve f x 8 Algebra
A wooden artifact from an ancient tomb contains 35 percent of the carbon 14 that is present in living trees How long ago to the nearest year was the artifact made The half life of carbon 14 is 5730 years years Algebra
Solve the given system of equations If the system has no solution say that is it inconsistent y 2 4z 8 2y z 4 X 2x and z A The solution is x Type integers or simplified fractions O B There are infinitely many solutions Using ordered triplets they can be expressed as z any real number x y z x y Simplify your answers Type expressions using z as the variable as needed O C There are infinitely many solutions Using ordered triplets they can be expressed as Algebra
Solve the system of equations If the system has no solution say that it is inconsistent Graph the lines of the system 6x 48 x 4y 0 Click to enlarge graph 10 8 6 4 2 10 8 go 6 4 2 2 4 y Algebra
7 3x 22x 35 A 3x 7 x 5 B 2x 7 x 7 C 3 x 7 x 5 D 3x 7 x 5 8 8 15x65x 70 A 5 3x 7Xx 2 B 5 3x 7 x 2 C x 7 3x 2 D al3x 7 Algebra
5 2n 24m 54 A n 6Xx 10 B 4 n 3 2 C 2 n 3 9 D 2 n 3X 9 6 6 7m 29m 24 A 7m 8Xm 1 B 8 7 3 C Not factorable D 7m 8 m 3 Algebra
Graph each line a The line passes through T 4 1 and ha slope 3 b The line passes through U 3 4 and ha slope 2 c The line passes through V 2 3 and has 1 slope 2 3 d The line has x intercept 5 and slope Algebra
5 Write an equation for the graph of a linear function that a has slope 5 and passes through P 4 2 b has slope 7 and passes through Q 6 8 c has slope and passes through R 7 5 d has slope 0 and passes through S 3 8 Algebra
1 Given the following examples determine if the function graphed is one to one If the function is one to one graph its inverse If the function is not one to one explain why n 2 points each Function 0 5 5 5 One to One no Graph of Inverse OR Explanation of why Inverse does not exist It is infinite FOR D Algebra
3 A line passes through D 3 5 and has slope 4 a Why is y 5 4 x 3 an equation of this line b Why is y 4x 7 an equation of this line Algebra
4 Graph the function f x 2x2 1 5 pts What is the y intercept s b What is the x intercept s c What is the domain of f x d What is the range of f x 10 10 10 5 Solve the following three equations without using logarithms 3 pts each 2x 2 82x 5 4 3 27 e4x 1 e Algebra
7 3x 22x 35 A 3x 7 x 5 B 2x 7 x 7 C 3 x 7 x 5 D 3x 7 x 5 9 10x 31x 24 A 5 2x 5 5x 3 B 10 x 3 x 8 C 2x 3 5x 8 D 2 5x 3 x 4 11 12n 2n 30 A 2 3n 5 2n 3 B 12 n 5 n 3 C 2 3n 5 2n 3 D 3 2n 5 n 1 8 10 12 8 15x 65x 70 A 5 3x 7 x 2 B 5 3x 7 x 2 C x 7 3x 2 D x 3x 7 10 60n 162n 108 A 6 2n 3 5n 6 B 6 2n 3 5n 6 C 2 5n 3 n 3 D 60 n 3 n 6 12 9 33r 10 A 6r 3r 4 B r 10 4r 3 C 2 r 2 9r 10 D 3r 1 3r 10 Algebra
1 oftwa Factoring Quadratic Factor each completely 1 m 18m 81 A m 9 B m 10 m 7 C m 9 D m 10 m 3 3 r 4r 60 A r 6 r 10 B r 10 4 C Not factorable Algebra
2022 Kuta Software LLC All rights reserved Factoring Quadratics Factor each completely 1 m 18m 81 A m 9 B m 10 m 7 C m 9 D m 10 m 3 3 r 4r 60 A r 6 r 10 B r 10 4 C Not factorable D 6 r 8 r 1 5 2n 24n 54 A n 6 n 10 B 4 n 3 n 2 C 2 n 3 n 9 D 2 n 3 n 9 2 4 6 2 k 3k A k k 3 B k 4 k 10 C Not factorable D 2 k 9 k 7 4 x 11x 28 A x 4 x 7 B x 4 x 7 C x 4 x 7 D x 8 x 6 6 7m 29m 24 A 7m 8 m 1 B m 8 7m 3 C Not factorable D 7m 8 m 3 Algebra
Factoring Quadratics Factor each completely 1 m 18m 81 A m 9 B m 10 m 7 C m 9 D m 10 m 3 Algebra
Consider the function Which graph below corresponds to the following traces 18 2 B f x y m 1 0 2x xy 6 1 The trace for z 1 35 2 The trace for y 0 75 3 The trace for x 0 3 4 The trace for y 2 C 2 118 D Algebra
14 Solve the following logarithmic equation If multiple solutions exist enter solutions using a comma separated list In 10t 10 In 2 ln 5t 6 Algebra
6 Solve the following exponential equation 42 3 82 4 Algebra
4 Solve the following exponential equation 5x 4 56x 2 If multiple solutions exist enter solutions using a comma separated 1 Algebra
d Convert 325 ft min to m h Algebra
1 2 x 5 2 27x 1 3 3 2x 1 2x 2 2x 2 5 40 52x 3x 5 5 log x 3x 1 6 4 log 3x 1 1 7 log25 x 1 1 Algebra
2 Use the properties of logarithms to expand the following logarithmic expression as much as possible Where possible evaluate logarithmic expressions 100000 log Algebra
A 30 20 10 10 20 30 Algebra
1 Georgia wants to go to the skating rink with her friends If the tickets cost 12 and they all spent a total of 72 how many people p went skating 2 Bill wants to split up his remaining Halloween candy c so that his 7 friends get 4 pieces each How much candy must Bill have 3 John had a group of friends attend his birthday party After 5 friends left the party 16 were left How many friends were there at the beginning 4 In a basketball game the Raiders scored p points in the first half and added 35 in the second half They scored a total of 77 points How many points did they score in the first half Algebra
5 The temperature is 36 degrees in the morning and rises d degrees by the afternoon and falls 7 degrees at night If the temperature is 42 degrees at night how much did the temperature rise in the afternoon 6 Tricia went to the library with b books and returned 5 but took out 2 If Tricia has a total of 8 books out how many did she start with 7 Blaine is going bowling and will need to pay 4 for shoes and then 3 for every game Write an equation for the situation if g represents the games played and C represents the total cost 3 Stan bought 8 fish for f dollars each and a fish tank for 60 Write an equation to represent the situation if T represents the total cost Algebra
6 17 subtracted from a number squared 7 A number cubed is at least 125 8 4 times the quantity of a number plus 10 equals 80 9 The difference of 9x and x to the fifth power 10 Half of a number is more than 16 11 The quotient of twice a number and 5 is 12 12 16 reduced by triple a number is smaller than 22 Algebra
1 The quotient of a number and 5 2 The sum of 8 and a number is 14 3 The product of 9 and a number is no more than 27 4 14 less than x is 22 5 8 less than the product of 6 and a number 6 17 subtracted from a number squared Algebra
Find the area of the triangle ABC a 105 8 m b 74 7 m c 99 8 m What is the area of the triangle 2 3565 6 m Round to the nearest square meter as needed Algebra
Use log 20 335 log 30 621 and log 50 794 to approximate the value of the given logarithm to 3 decimal places Assume that b 0 and b log 12 X Algebra
5 Find the exact value of the following logarithmic expression Jog 1296 Algebra
is the midpoint of DF DE 6x 1 and EF 7x 4 Find DE EF and DF Algebra
Use the parent function f x b and transformation techniques to graph g z 5 1 Also indicate which transformation s is are applied Determine the domain range and horizontal asymptote of g Select all transformations that apply Horizontally stretch the graph of f by a factor of 1 Shift the graph of f 1 unit down Shift the graph of f 1 unit to the right Shift the graph of f 1 unit up Horizontally compress the graph of f by a factor of 1 Shift the graph of f 1 unit to the left Reflect the graph of f about the y axis vertically compress the graph of f by a factor of 1 Vertically stretch the graph of f by a factor of 1 Reflect the graph of f about the z axis Algebra
Use the parent function f z b and transformation techniques to graph g x e 6 5 Also indica which transformation s is are applied Determine the domain range and horizontal asymptote of g Select all transformations that apply Reflect the graph of f about the y axis Shift the graph of f 5 units down Shift the graph of f 6 units to the left Horizontally compress the graph of f by a factor of 6 Horizontally stretch the graph of f by a factor of 5 Vertically stretch the graph of f by a factor of 5 Shift the graph of f 6 units to the right Shift the graph of f 5 units up Vertically compress the graph of f by a factor of 6 Reflect the graph of f about the z axis Algebra
Use the parent function f x log and transformation techniques to graph g z log z 6 8 Also indicate which transformation s is are applied Determine the domain range and vertical asymptote of g Select all transformations that apply Horizontally compress the graph of f by a factor of 6 Reflect the graph of f about the y axis Shift the graph of f 8 units down Vertically compress the graph of f by a factor of 8 Shift the graph of f 8 units up Shift the graph of f 6 units to the left shift the graph of f 6 units to the right Reflect the graph of f about the z axis Horizontally stretch the graph of f by a factor of 6 Vertically stretch the graph of f by a factor of 8 Algebra
Let the polynomial function g be a function of The graph of the polynomial has four zeros a 5 3 0 7 Select all the expressions that could represent g a b C d e 4x x 5 4x 3 x 7 4x x 5 4x 3 x 7 4x x 5 x x 7 4x x 5 3x4 x 7 x x 5 x x 7 Algebra   