Algebra Questions

X X S2 Fill in the blanks with the requested information pertaining to the equation X X x 9 x 4x 3 a The restricted values are Type your answer here X x 2x 3 Write your response here Type your answer here Type your answer here Enter the values from smallest to largest and b Solve the equation Enter the solution set of the equation List solutions in order from smallest to largest separated by a comm

7 STEM Connection Hannah is measuring three sheets of metal Sheet A is 1 times as long as Sheet B Sheet C is 2 times as long as Sheet A Order the sheets from last longth to groat et lang

Use the product rule to simplify 63 16x45 y 63 16x4y5 Simplify your answer Type an exact answer using radicals as needed www

1 Which fraction will result in a 2 Which fraction will result in a product that is less than product that is greater than 3 x ur150 MIT A A 000 07 N w C B 12 2 u D 8 7 A 5 1 29 D 00 10

99 as long as James to 5 In a cross country race Duante took 7 finish Kofi took as long as James to finish Who took the 8 longest to finish the race dumes as tall as Harriet Jenny is 13 as tall as Harriet Who is harriet 6 Jamie is the tallest How do you know

9 A linear quadratic system contains the quadratic function y 3 x 5 6 and a linear function y 7 5 How many times will the line intersect the parabola 3 2 5 2 5 6 2 C 0 A B 1 D 3 2 52 52 25 6 3 2 62 25 6 intercepts 2 and 3 that goes None of the above v 2 31

Simplify the following expression 5 5 5 5xy 13 4 x y 3 5x y4 Simplify your answer Type an exact answer using radicals as needed

Type your answers in all of the blanks and submit X 2 Fill in each blank with the appropriate word a A rational expression is a quotient of two Write your response here b A number is a restriction on a rational expression if the number makes the denominator of the rational expression Write your response here

Arrange the steps to solve the equation in the correct order 2 6 x III E III Drag and drop options into correct order and submit For keyboard navigation SHOW MORE HIX 1 2x 6 x 2x x 6 0 2x 30orx 2 0 2x 3 x 2 0 2 2 X 3 orx 2 X

Add or subtract 5 75 3 50 27 5 75 3 50 27 Simplify your answer Type an exact answer using radicals as needed

Rationalize the denominator 8 3 11 8 3 11 Simplify your answer Type an exact answer using radicals as needed

Fill in the blanks with the appropriate numbers or expressions related to the following equation X 2 2 X 4 X 3 x 7x 12 a The restrictions on the variable are smaller number in the first blank Type your answer here If not enter none Write your response here and Type your answer here b When you solve the equation do you get any extraneous solutions If so enter the alue of the extraneous sIlution in the blank c The solution set of the equation is Write your response here Enter the Enter the solution set notation If there is more than one answer separate the solutions by a comma and list the numbers in order from smallest to largest

Add or subtract as indicated 2 7 3 7 6 7 2 7 3 7 6 7 Simplify your answer Type an exact answer using radicals as needed

Simplify the expression Assume all variables are positive 2 3 36a b 2 3 2 312 36a b Simplify your answer Use positive exponents only

Use the laws of exponents to simplify Do not use negative exponents in your answer 4 5 0 2 2 5 Lo n Simplify your answer Type exponential notation with positive rational exponents

Use the rules for exponents to simplify the following expression Write the final answers in exponential form when necessary Assume that all variables represent non negative values 1 5 1 5 x X X 1 2 1 2 X Simplify your answer Use integers or fractions for any numbers in the expression Type your answer using exponential notation

Multiply and then simplify if possible 11 6 5 11 6 5 Simplify your answer Type an exact answer using radicals as needed GEN

X X Solve the equation Enter the solution set in the blank Write the solutions separated with a comma in order from smallest to largest with no spaces 2 XIN X 4x 6 Solution set 6 2 You are incorrect X

Simplify the given expression Write the answer with positive exponents Assume that all variables represent positive numbers y 1 1 2 2 y z 14 1 4 11 2 2 y Simplify your answer Type exponential notation with positive exponents Use integers or fractions for any numbers in the expression

4 For this quadratic function y 3 x 1 7 2 b 4ac 0 b b 4ac 0 a C b b 4ac 0 sacs d 6 4ac 0 v x 111 7

What equation results after clearing fractions from the equation XI W ro a Select an answer and submit For keyboard navigation use the up down arrow keys to select an answer 10 4x C d 2 N b 3 10x 2 12 10 8x 12 10x2 3 10x 8x

According to the Pew Research Center for Journalism and Media the estimated circulation of weekday newspapers in millions in the United States can be approximated by the formula C 0 0166x 1 2109x 41 708 where X is the number of years after 1940 According to the formula in what year would the circulation of weekday newspapers be 0 million Round to the nearest year Source https www journalism org fact sheet newspapers Type your numeric answer and submit

Fill in the blanks with the appropriate information to solve the equation x 14x 10 5 a To solve the equation by completing the square first add b This produces the equation x 14x Type your answer here Type your answer here c The number that completes the square for the equation is Type your answer here d Add this number to each side and simplify Write your response here e The solutions of the equation from smallest to largest are Type your answer here Type your answer here to each side Type your answer here and Opon

Write the radical expression as an exponential expression 3xy 3xy Use integers or fractions for any numbers in the expression Type your answer using exponential notation

Find the real solutions to the equation 192 3h6 h Simplify your answer Use a comma to separate answers as needed

Write the radical expression as an exponential expression 4xy5 4 4xy5 Use integers or fractions for any numbers in the expression Type your answer using exponential notation

Write the expression in radical form 71 b b C

Solve the equation by filling in the blanks FIND ALL REAL SOLUTIONS 524 405 X

Write the expression in exponential form T5 at a b C

9 i Listen Compare the graphs Find the value of h k or a 96 a z f x 2 The graph of g is a vertical shrink by a factor of Previous 5 10 of the graph of f a 11 12 13 Next

H y f x 000

Select all the toolkit functions below that are discontinuous Quadratic function Absolute value function Logarithmic function Rational function

Solve the following system of equations algebraically y x 14x 27 y 3x 1

Solve the equation and check your sol If y 4 what is the solution 2x y 0 H 123 f E ABC

5 Solve the equation and check yo If y 13 what is the solution x y 0 Type a response

Solve the equation and check your solution If y 8 what is the solution 2x 10 y 0 Type a response and check your solution It

7 Solve the equation and check your solutio If y 6 what is the solution 00 5x 4 y 0 Type a response Solve the equation and check your solution

Solve the equation and check your s If y 20 what is the solution 2x y 0 Type a response

After door to door canvassing census workers determine the number of unoccupied homes The table shown to the right lists the number of homes in millions that were unoccupied in four census years Answer questions a through c Year x 1965 0 1975 10 1985 20 1995 30 a Use a graphing calculator to fit an exponential function to the data where x is the number of years after 1965 y Type integers or decimals rounded to six decimal places as needed Number of Unoccupied Homes in Census in millions 5 8 7 3 9 1 14 3

Country A has an exponential growth rate of 4 49 per year The population is currently 4 039 000 and the land area of Country A is 37 000 000 000 square yards Assuming his growth rate continues and is exponential after how long will there be one person for every square yard of land This will happen in year s Round to the nearest integer

The sales S of a product have declined in recent years There were 202 million sold in 1984 and 1 2 million sold in 1994 Assume the sales are decreasing according to t exponential decay model S t Spe a Find the value k and write an exponential function that describes the number sold after time t in years since 1984 b Estimate the sales of the product in the year 2002 c In what year theoretically will only 1 of the product be sold a Rounded to six decimal places k

Suppose that P is invested in a savings account in which interest k is compounded continuously at 7 per year The balance P 1 after time t in years is P t Pek a What is the exponential growth function in terms of P and 0 07 P t P 0 071 b If 6000 is invested what is the balance after 5 years Round

The amount of carbon 14 present in animal bones after t years is given by P t Poe 0 000121 A bone has lost 14 of its carbon 14 How old is the bone The bone is years old Round to the nearest integer as needed CHEE

In a town whose population is 4000 a disease creates an epidemic The number of people N infected t days after the disease has begun is given by the function 4000 N 1 1 17 16 0 4 Graph the function Find the number of people initially infected and the number infected after 11 days Choose the correct graph OB a Q G All graphs are 0 20 0 5500 Xscl 1 Yscl 500 How many are initially infected with the disease t 0 people Round to nearest integer or whole person Q Q L

The decay rate of a certain chemical is 9 7 per year What is its half life Use the exponential decay model P 1 Pek where k is the decay rate and Po is the origina amount of chemical The half life of the chemical is years Round to the nearest integer

Solve the equation and check your solution It is possible that there is NO SOLUTION If y 8 what is the solution 2x 10y 0 Type a response

Solve the equation and check your solution It is possible that there is NO SOLUTION If y 13 what is the solution x y 0 Type a response

10 7 x 8x 10 x A 80 B 72 The right Xopatro D 54 answer is E 45 oppt tempo Metropol Matro petropol Metropol Mass

6 Graph f x and g x on the set of axes below f x X x 4x 3 x 1 g x x

2 Which statement is true about the functions f x x 4x 4 and g x which is graphed to the right 1 The minimum value of g x is greater than the maximum value of f x 2 f x and g x have the same y intercept 3 f x and g x have the same roots 4 f x g x whenx 4 y g x X