Quadratic equations Questions and Answers

Find the quotient using long division z 5z 8z 13 3 z 6 z 5z 8z 13

Divide and simplify 18a 9a 27 3a 18a 9a 27 2 3a

Simplify 27x 7 2x 2x X 3 3 27x 7 2x 2x by performing long division

Use the negative exponent rules to simplify Write answers with only positive exponents All variables are nonzerc 5 6 24

Find the quotient x19y19 36x10y10 4x y 15 3 4x Y 19 19 10 10

Find the quotient and remainder using long division x2 5x 14 x 7 15 th 11 remainder x 5x 1 X 7

Imagine reflecting triangle ABC across line MN Then answer the questions about the reflected figure

Two trains leave stations 208 miles apart at the same time and travel toward each other One train travels at 75 miles per hour while the other travels at 55 miles per hour How long will it take for the two trains to meet Do not do any rounding n

A washer and a dryer cost 450 combined The cost of the washer is two times the cost of the dryer What is the cost of the dryer

swer to two digits ours 8 7 long 3 3 James left school and traveled toward the ocean One hour later Perry left traveling 12 mph faster in an effort to catch up to him After five hours Perry finally caught up What was James average speed B 80 mph D 60 mph 4 A 20 mph C 30 mph

Greta and Greg are twins Their parents want to know if watching television helps or harms language development They design a long term experiment in which Greta watches twice as much television as Greg every day Which statement is true of this experiment

Quiz 3 1 10 pts Look at the table below TABLE 2 5 People in Poverty in the United States Year 1960 1970 1980 1990 2000 2008 18 Lindy Everette Name 36 306 31364 Number of People in Poverty in thousands 39 851 25 420 29 272 33 585 31 581 38 110 Source U S Bureau of the Census www census gov Identify the independent and dependent variables and create a linear function based off of the points You can go onto desmos and input the data into a table In the next line input the equation y mx b Report the linear equation along with the value obtained from the equation Is your linear model fit for this table Discuss any problems with the table or graph you made 0 0 The to ident var ble in the years the number of people in Rouergy in the dependent variabir I think El fit for this table I think ONE OF

h 1 6 6 2 4 6 82 62 m 4orm 26 B 4 6 L N 4 D or w 24 ws 5

Find the quotient 14K4 26k 7 2k 14K 26k 7 OL2

se the negative exponent rules to simplify 72 5 5 itive exponents only

Use the laws of exponents to simplify Write the answer with only positive exponents All variables are nonzero 11m n 7m 4n 11m n COLLE

Write the expression with only positive exponents Assume all variables represent non zero numbers n 5 n 5 Simplify your answer Type in exponential form Type positive exponents

Use the zero exponent rule to simplify All variables are nonze 5xy

y mx b 6 20 pts Each of the following contains a point and the slope for a linear function Complete for the linear equation y mx b and find another point that exists on that line 4 8 and m 7 m 7 4 8 Y 7x b 8 7 4 b b Y o 5 4 and m 3 m 3 4 3 5 b 4 15 6 b 11 4 9 and m m 2 2 6 18 and m 3 17 15 78 and m 30 8 28 6

2 20 pts Look at the table below M Y Y x2 x1 D Number of Drinks 2 4 6 10 A Blood Alcohol Concentration 0 047 0 094 0 141 0 235 2 0 047 4 0 094 Using the rate of change formula find out between each number of drinks if this table is linear find m for each of the intervals 2 4 4 6 and 6 10 If it is linear create a function for the data and if not refer back to the first problem and create a linear function that can model this table 0 047 0 094 0 047 CE240 00 0 047 0 141 0 094 te 4 16 6 14176 024 0 049 6 1x 0 235 0 141 10 6 0 047 2 0 094 4 wa141 10 0 235

5 20 pts Given the following points determine if they can be considered a linear function If so create a linear function for the points 3 4 and 5 7 7 4 5 3 4 x b 4 3 and 6 20 5 44 223 6 8 2 and 8 9 20 4 6 3 y lo x tb 7 9 and 15 9 2 05 88 and 15 64 4 2 b 4 2 6 3 9 8 9 1 2 b x 162 3 3 164 b 2 44 2 3 64 53 3

4 20 pts With each of the equations below translate them all into our linear equation models y mx b and then identify m and b 5x 7y 4 8 1 x 4 2 y x y 4 4y 4x x 3y

Simplify the expression All variables are nonzero 4 5n 5 4 5n 2 2 www

Use the zero exponent rule to simplify 2 3 13

mplify the following expression All variables are nonzero 4 3 42x 4y 35x6y 2x 4y 3 or 6 11

Simplify All variables are nonzero 5 2 y 5 X 5 5 2

Simplify the following expression All variables are nonzero 2 9 2 0 m 2m n 2 m n 2 2m n 3 16 atial notation with positive exponents Ilse integers or fractions for any

Use the zero exponent rule to simplify 15

Simplify the expression All variables are nonzero 5 7n 5 2 2

Use the quotient rule to simplify Z

Simplify the expression All variables are nonzero 5a 6 5a 6 4

Simplify each expression a 4 3 b 4 3 c 4 3

Ill in the blank below a and b are real numbers and n is an integer then 9 n C 9 b

Use the negative exponent rules to simplify 6 1 2

Simplify the following expressions so that all exponents are positive All variables are nonze 5 a 2m b 2m 5 c 2m 5

Simplify the following expression 3a 66 3a 6 4

implify the following expression 4a 49 3 4a b4 Simplify your answer Use integers or fractions for any numbers in the expression Use positive expor

16 16 5 316 10n 103 A 10 6 C 3 5 20 B 2 D 3 2 17 17 2 4k 2 2 18 A No solution 201 C 2 5 B 3 1 D 3 2

Fill in the blanks If then a 0 U B n

4 A jet left Los Angeles flying west five hours before a passenger plane The passenger plane flew in the opposite direction going 250 km h faster than the jet for five hours after which time the planes were 3950 km apart How fast did the jet fly A 180 kmh C 235 kmh B 240 kmh Dj 85 kmh

Complete the sentence If a is a nonzero real number and m and n are integer exponents then an If a is a nonzero real number and m and n are integer exponents then an 11 11 am n

The metal plate has the constant temperatures shown on its boundaries Find the equilibrium temperature at each of the indicated interior points by setting up a system of linear equations pplying either the Jacobi or the Gauss Seidel method Obtain a solution that is accurate to within 0 001 0 90 t t3 0 90 30 t2 t 100 30 100

point Convert the system ugmented matrix o an augmented matrix Then transform the system to reduced echelon form and determine if the system is consistent If the system is consistent then find all olutions educed echelon form the system consistent select olution x1 x 2x1 9x2 x1 4x2 1 lelp To enter a matrix use For example to enter the 2 x 3 matrix 44 20 1 1 2 3 6 5 4 ou would type 1 2 3 6 5 4 so each inside set of represents a row If there is no free variable in the solution then type 0 in each of the answer blanks directly

5 If y varies jointly as a and 2 and y 24 when x 3 and z 4 find y when z and z 8 O 12 O 48 O 64 O 36

You are given the cost of an item before and after tax Find the amount of tax and the tax rate Round both solutions to two decimal places if necessary Cost of item 127 Selling price 145 48 Tax amount Tax rate

After a 65 reduction you purchase a new television on sale for 198 What was the original price of the television Round your solution to the nearest cent

Rewrite the following equations using exponents instead of logs Estimate a solution fo calculator Round the value of x to the nearest integer a log x 1 153 x b log x 4 88 x i i

1 point Find the Laplace transform F L f of the function F s f 1 f 4 0 t 7 0 7 t 0

Activity A scientist needs to make 5 4 liters of saline solution salt water in which the salt level must be at 28 concentration meaning 28 of the water is salt Unfortunately the scientist only has two types of saline solution in his possession He has saline solution with a 12 concentration level and saline solution with a 30 concentration level How much of each type of saline solution should the scientist mix together to achieve 5 4 liters of saline solution at a concentration level of 28 Let a represent the amount 12 saline solution and let y represent the amount of 30 saline solution 10 Determine which two equations can be used to represent the system Before moving to the next question make sure that you write down the the two equations you ve chosen x y 28 12x 30y 1 512 12x 30y 5 4 12x 30y 28 x y 1 512 x y 5 4 1 point

System 3 Stimulus 4 1 Understanding Systems Substitution Method Use the system of equations below to answer the following questions 2x 3y 15 x 3y 3 2 1 point 1st equation isolate x 1st equation isolate y 2nd equation isolate x 2nd equation isolate y cannot be determined DO Using the method of substitution which equation and which variable would be easiest to isolate