Algebra Questions

A phone company charges its customers 50 or the first 500 minutes used each month For any additional minutes used over the 500 the customer is charged an additional 10 per minute Find the piecewise function that describes this situation O 50 1m m 500 m 500 O f x f x f x 50 f x 50 50 1m 50 50 m 500 m 500 50 1 m500 f50 1 m 500 m 500 m 500 m 500 m 500

1 What is an Assimilation 2 Who are some famous people throughout history who were assimilationists 3 What is Nationalism 4 Who were some people throughout history who were Nationalists 5 Which one assimilationist Nationalist Ideology do you agree with Why 6 What are the benefits if any of Nationalism List some explain 7 What are the benefits if any of assimilation 8 What are the benefits of the American dream Problems Work cannot be Private co Add comment

c In ADEF find the measure of all missing sides if ZD 63 ZE 47 and d 8 cm

1 Ethan throws a toy soldier with a parachute into the air from a balcony The path of the soldier can be modelled by h t 5 7t 18 where the height h t is in metres and the time t is in seconds a When will the soldier hit the ground 2 marks b How long will the soldier be above 15 m 2 Given f x 5x 3 and g x x 5 a Evaluate f 1 b Evaluate g 4 c Evaluate f 1 g 4 2 marks 1 mark 1 mark 1 mark

Given that g x a g 8 X 5 X 8 find each of the following b g 5 c g 8 d g 17 75 e g x h

ou can write the equation of a linear function in slope intercept for is the y intercept y mx b Each table represents a linear function Find the slope and the y lope as a proper or improper fraction in simplest form or an int equation in slope intercept form 1 X O 1 2 3 y 6 9 12 15 slope 3 y intercept equation 2 x

1 2 2 4 0 1 3 3 Answer each of the following questions about the stem and leaf plot above If any of the requested values does not exist enter DNE without quotation marks List the data What is the mode What is the median

Cat 26 7 Horse 5 9 15 15 25 How many people were surveyed How many people owned cats and dogs How many owned cats or dogs Dog How many did not own horses How many owned cats or dogs but not horses

U A I 01 Oll Olll IV Oll II V VII VI OIV OV III 1 Which region s represent set C OIV OV Olll OVI 2 Which region s represent set An C OIV OVII OV O VIII OVI Not enough information is provided 3 Which region s represent set A UBUC VIII B O VII O VIII Not enough information is provided OVII O VIII

7 X 0 3 X y V 123 f E ABC a y 22 2 7 3 5 1 x 4 4 5 6 O 8 x 5 00 2 3 X DE 1 I eh U 2 8 2 x 5 x X i C 78 2

A C IV II V VII VI III VIII B

Given a normal distribution with mean 90 and standard deviation 20 use the 68 95 99 7 Rule or 34 13 5 2 35 0 15 to find the percent of the population for each of the following Less than 90 Above 150 Less than 70 Above 50 Between 70 and 130 What z score would be associated with a data value of 40

Data Frequency 1 3 4 6 7 9 10 12 13 15 15 16 18 11 19 Answer each of the following questions about the Grouped Frequency Distribution table above What is the classwidth What is the upper limit of the fifth class What is the lower limit of the fourth class How many data values are there

the values of A B C D E F and G A A B C D E F G B shown below with mean 110 and standard deviation 15 what are D E F G

U 1 2 3 4 5 6 7 8 9 A 1 3 4 6 8 B 1 2 4 7 Complete a Venn diagram for the sets and then answer the following questions B D A Q For each of the questions enter the list of elements or a number If a response is the empty set type the word empty without quotation marks 1 AC 2 UC U 3 n B 4 An B

1 2 Solve each equation and check your solution x u x x 6 Type a response Solve each equation and check your solution 2x x 4 4 Type a response 1 1

5 Solve each equation and check your solution 8x 1 x 2 6 3 1 LO 5 1

Question 2 Given the set A n A Submit Question 8 8 4 7 4 9 2 1 3 1 5 9 find n A

The Venn diagram here shows the elements in each set Use this to find the elements in the given sets U A 2 4 U BC UA List the elements in each set If any result is the empty set type the word empty without quotation marks An B B

Question 2 Given the set A n A 4 9 5 3 10 6 10 1 6 2 5 3 7 3 find n A

ermine whether each statement is true or false If a statement is true give a reason or cite an appropriate statement from the text If a statement is false provide an example that shows statement is not true in all cases or cite an appropriate statement from the text a To find the determinant of a triangular matrix add the entries on the main diagonal O True the determinant of a triangular matrix is equal to the order of the matrix which is equal to the sum of the entries in the main diagonal O False the determinant of a triangular matrix is equal to the product of the entries in the main diagonal which may not be equal to the sum of the entries in the main diagonal O True the determinant of a triangular matrix is equal to the product of the entries in the main diagonal which is equal to the sum of the entries in the main diagonal O False the determinant of a triangular matrix is equal to the number of nonzero entries in the main diagonal which may not be equal to the sum of the entries in the main diagonal O False the determinant of a triangular matrix is equal to the order of the matrix which may not be equal to the sum of the entries in the main diagonal b To find the determinant of a matrix expand by cofactors in any row or column O False to find the determinant of a matrix expand by cofactors in any row but not in any column O False to find the determinant of a matrix expand by cofactors in only the first column O False to find the determinant of a matrix expand by cofactors in only the first row O True to find the determinant of a matrix expand by cofactors in any row or column O False to find the determinant of a matrix expand by cofactors in any column but not in any row c When expanding by cofactors you need not evaluate the cofactors of zero entries O True in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be zero O True in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be one O False in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be zero O True in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be equal to the cofactor O False in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be equal to the cofactor

The function y f a is graphed below What is the average rate of change of the function f x on the interval 6 27 10 Answer Attempt 1 out of 2 6 16 10 E 20 4 6 8 10 Watch Video Show Examples 858

Type your answers in all of the blanks and submit X Q Fill in each blank with the appropriate number for solving the equation x 1 4 x 3 a The solution of the equation is Type your answer here b The extraneous solution of the equation is Type your answer here

Fill in the blank with the appropriate number or expression that is required at each step to solve the equation For the solution set enter the solutions in order from smallest to largest separated by a comma If there is no solution enter no solution in the appropriate blank x 2 1 a By applying property 1 for solving absolute value equations we get the two equations x 2 Write your response here b Solving these equations we get X Write your response here c The solution set of the equation is or x 2 Write your response here or X Write your response here Write your response here Open in Re

X X 2 According to a poll 56 of voters are likely to vote for the incumbent The poll has a 3 margin of error The margin of error means that the difference between the actual percent of voters and the percent determined by the poll is 3 Write and solve an absolute value equation to find the least and the greatest percent of voters X likely to vote for the incumbent a The absolute value equation that represents this situation is your answer Write your response here b Solve the equation Based on the equation there can be between Type your answer here Type your answer here A of voters that vote for the incumbent Do not enter any spaces in and Open in Reading View

ue in a day Fill in the blank with the appropriate number or expression that is required at each step to solve the equation For the solution set enter the solutions in order from smallest to largest separated by a comma If there is no solution enter no solution in the appropriate blank x9 6 20 a Before applying property 1 we must each side This produces the equation X 9 X 9 Write your response here b By applying property 1 for solving absolute value equations we get the two equations c Solving these equations we get subtract X Write your response here d The solution set of the equation is add subtract Type your answer here or x 9 or X Write your response here Write your response here Type your answer here from Open in Read

Part 1 Given an algebraic expression provide a written expression using words to represent numbers and operations Example Expression 9 x Written Expression Nine minus a number Expression Written Expression b 12 3x 15

Part 2 Given a written expression provide an algebraic expression Example Expression 4 x Written Expression Four plus a number Expression Written Expression Four times the quantity of a number minus four A number plus eight

Peal world situation provide an algebraic expression Example Real world situation The total cost of a 1 candy bar and x pieces of candy for 0 25 each Expression 1 0 25x Real World Situation The height of a 20 inch tall plant that grows 5 inches each month for x months Four fish and u turtles were seen in the pond Expression

Solve 2n n 6 0 02 0 2 0 12 10 3

Write the reduced radical form of the following expression a 1024x y12 ax y dx b C d

Simplify each radical expression and enter its simplified form in the blank To enter a square root expression use sqrt as in sqrt3 for 3 a 10 10 2 10 You are incorrect b 3 2 2 2 2 You are incorrect C 8 50 7 2 X X X

Simplify the expression and enter the simplified answer in the blank To enter the square root of an expression enter use sqrt as in sqrt3 for 3 Do not enter blank spaces in your answer 4 2 Type your answer and submit X X 2 18 8 2 Hint X You are incorrect

Solve 3a 6a 3

Solve 8n 4n 18 0 9 1 37 4 19 2 O 1 37 4 O O 1 i 37 4 1 i 37 4

8 y 2 x 5

Write the function shown in the graph to the right Write the function that describes the graph above y Simplify your answer X

The graph of a function f x is shown Describe each transformation to the graph of f x indicated by the function g x and sketch the result 19 g x f x 2 20 g x f x 23 g x f x 24 g x f x 4 2 2 0 st y 2 4 X

The graph of a function f x is shown Describe each transformation to the graph of f x indicated by the function g x and sketch the result 12 g x f x 4 13 g x f x 16 g x f 2x 7 g x f x 17 41x 0

What is the solution set to the inequality 5 x 2 x 4 0 x x 4 and x 2 O x x 2 or x 4 x x 2 or x 4 x x 4 orx 2

What is the solution set to the inequality 4x 3 2x 1 0 O O O x xs 120x2 21 or x1x 2 orX2 x x3 0 x2 O xx 3 orx21

Write the function shown in the graph to the right Write the function that describes the graph above y Simplify your answer OU

Graph the function f a x 1 2 Write the first 3 integer coordinates no decimals on your graph from left to right Domain Range Type your answer in interval notation without spaces use inf for infinity For example 2 inf Type your answer in interval notation without spaces use inf for infinity For example 2 inf POSSIBLE

What is the solution set to the inequality 5 x 2 x 4 C x1 x 4 and x 2 x1 x 2 or x 4 x1 x 2 or x 4 X X 4 or x 2

An acorn falls from the branch of a tree to the ground 25 feet below The distance S that the acorn is from the ground as it falls is represented by the equation S t 16t2 25 where t is the number of seconds For which interval of time is the acorn moving through the air 4 01

A graph of quadratic function y f x is shown below y f x CH 543211 J7 P T Y 2 3 4 12 3 4 5 X What is the solution set of the quadratic inequality f x 2 0 x x 3 XIXER x x 3

Which quadratic inequality does the graph below represent 6 54 3 2 1 1 2 3 4 5 6 x 7 Oy22x 8x 3 Oy 2x 8x 3 y 2x 8x 3 y22x 8x 3

What is the solution set to the inequality 4x 3 2x 1 20 O x1 x 2 or X2 O x x 3 or x 1 XIXS 12 or xz 21

3 The quadratic equation 6x 45x 24 has multiple correct factors Which set of factors below is NOT a possible answer Support your answer with an explanation and or work shown a 3x 24 2x 1 3 x 8 2x 1 c 6x 3 x 8 3x 8 2x 1 1

2 1 Write 73 without exponents