High School Algebra Questions

Question 1 5 Select the pair below which shows the correct conversion from logarithmic form to exponential form O log x 9 and 2 9 log x and 2 92 9x 9 and x 2 O log x O log x 9 and 9 9 and x 9 2x

A certain type of bacteria increases according to the model P t 300e0 75t where t is the time in hours and 300 represents the amount of cells that were originally present Part A Which number in the equation indicates the growth rate 300 e 0 75 time Part B Calculate the approximate number of cells that will be present after 6 hours 300 635 14 000 27 000

16x 16x 3x x 9x 18 2 6x 13x 6

An object is launched off a 215 foot platform If the object was launched at 135 feet per second determine how long it will take for the object to hit the ground ROUND YOUR ANSWER CORRECTLY TO THE NEAREST TENTH Type a response

Which graph represents the function 1 x 2

If f x log4 2x 7 and g x log4 3 find a value for x that satisfies f x g x Use the Numeric Grid to type the solution X 0 00000 0000 0000000 000000 0 00000 2 3 3

2x 3x 2 5x 22x 15 2x 15 Spronks F 22 687 25

Question 1 2 Solve the equation 4 3 2x 6 7 O X O O x 6 O No Solution X 6 8 x

Question 1 7 Write the following expression in condensed form 1 log 8 log x 2 O log O log 8 X 2 8 log 8x log 8 x

8x x 2 x 49

triangular shaped area that forms a right triangle The longer side of the triangle is eleven feet less than twice the shorter side The hypotenuse is three feet less than twice the shorter side How many feet of fencing will Jim need to complete the fence O O 96 feet 126 feet 53 feet none of these choices 45 feet d 12 feet 28 feet

A fireworks show is concerned that the fireworks will explode inside some clouds that are hovering above the area The clouds are hovering at 700 feet If the fireworks are launched from a platform 35 feet above the ground at a speed of 215 feet per second how long does it take to get to the clouds on its way up O 4 8 seconds 8 6 seconds 14 5 seconds 3 2 seconds none of these choices 7 3 seconds

A ball is launched from 7 meters above the ground into the air at a rate of 24 meters per second How high can you expect this ball to be after 2 5 seconds O O 35 4 meters 2 7 seconds 35 4 feet 41 2 meters 5 7 meters 807 4 feet 1 none of these choices

evaluate 4 3 If needed round correctl to hundredth 2 DIGITS PASSED THE DECIMAL Type a response

Brittany s new lunch box is only 5 centimeters in height so it fits in her backpack along with all her books The lunch box has 3 sections for different types of food The length and width of the lunch box are 22 centimeters and 14 centimeters What is the volume of Brittany s new lunch box

POSSIBLE POINTS Solve the equation for x Use the properties of exponents and logarithms as needed to rewrite the equation Round to 2 decimals when necessary logs 44 logs 72 PO Separate answers with a comma Extraneous Solution s Type answer or type none if there are no extraneous solutions

Solve the equation for x Use the properties of exponents and logarithms as needed to rewrite the equation Round to 2 decimals when necessary 16 256 1

A rabbit farm had 200 rabbits in 2015 The number of rabbits increases by 30 every year In what year would there be 13 308 rabbits You should be able to set up the exponential equation and then solve algebraically DO NOT JUST GUESS AND CHECK

Homework The equation of a line is y 5x 20 1 What is the value of y when x 450 Show all your work 2 Is the ordered pair 3 60 on the line y 5x 20 Show work

Solve the equation for x Write your answer both as an exact solution in log form and as an approximate solution rounded to 3 decimal places 3 12 R log a log b an b Approximate Solution POSSIBLE PO Exact Solution

Find the area of the polygon shown on the grid below HINT Break the figure into shapes you can find the area of Use your formula sheet O 10 square units O 15 square units O 21 square units O 27 square units

Which of the following RECTANGLES has the same area as the triangle given below 13 cm 12 cm 21 cm O an 11cm by 13 cm rectangle O an 18 cm by 7 cm rectangle O a 12 cm by 8 cm rectangle 20 cm

Monica wants to carpet the room shown in the diagram below How many square feet of carpet will she need EXPLAIN your answer and SHOW YOUR WORK HINT Break the figure into shapes you can find the area of Use your formula sheet 24 ft 20 ft 12 ft 12 ft

Rico s dad is moving his company to a new office space He finds a potential new space but wants to know how many square meters of space he would have 10 mi How many square meters of office space would he have O 140 square meters O280 square meters O24 square meters 14 m O 70 square meters a

Michelle is trying to find the area of this triangle but is confused about which number represents the base and which number represents the height 13 cm Select 18 cm Which value represents the base and which value represents the height The base of the triangle is Select Select 13 cm 5 cm 5 cm 18 cm and the height of the triangle is

Find the solution to the system of equations below y 2 5x y x 6

Learning Target I can solve a system of equations by graphing and finding the intersection p of my lines

4 3 x y 4 3x y 11

cribe a relationship between the angle 0 the hypotenuse makes with the x axis in each triangle and the angle of rotation Use the diagram to help you think about the question The dotted arc shows the angle of rotation 76 relationship between that the hypoter x axis and the angle Makes with the angle Rotation

Write the piecewise equation that describes each graph 5 2 0 2 4 N 2 4 6 8 X

Consider the following histogram 12 10 8 Frequency 2 3 6 9 12 15 18 21 24 Data Value Which frequency table best represents the same information as th histogram

22 1 point Condense the following expression In 13 3 In x 11 In w 12 In w 8 In x 13 in 12 5 O In in 13 W 25 13 In 12 in 113 135

Calculate the mean and median of the data set below 8 9 2 4 5 11 7 9 10 9 mean 7 4 median 8 5 mean 8 5 median 7 4 mean 7 4 median 8 mean 7 4 median 9

1 point A grocery store chain has been tracking data on the number of shoppers that use coupons The data shows that 71 of all shoppers use coupons 36 times out of 40 these results were considered accurate to within 3 5 What is the margin of error 0 71 0 29 0 035 0 025

18 1 point Mrs Cantrel s class wants to know if birds prefer seeds or bread They set up two bird feeders outside of school and count the number of birds that eat from each of the two bird feeders DO Is this an experiment or an observational study Experiment Observational Study

16 1 point Mr Mitchell was interested in the effects of music on student performance At the bottom of his exam he asked students to circle their favorite type of music rock country or hip hop He then computed the averages for the students who liked each type of music and compared the results DA Is this an experiment or an observational study Experiment Observational Study

1 1 point What is the mean of this data set 38 52 54 48 40 32 50 11 22 44

3 1 point What is the median of this set of data 100 150 100 130 125 135 140 145 100 140 125 O 50 O130 Previous

Consider the following histogram in which a student created a histogram about the heights of males in his classroom 5 43 Frequency N 7 69 in Height inches What would be the mean height of the males in the student s classroom 67 in O 67 inches 68 4 inches O68 5 inches 69 inches 68 in 70 in 71 in

Evaluate 9 8 S when S 4

Solve log x 2 2 20 100

If 315 is invested at an interest rate of 3 per year and is compounded continuously how much will the investment be worth in 9 years Use the continuous compound interest formula A Pet 206 23 412 64

Solve 4x 5 6 for x using the change of base formula log y 4 226 3 708 log y log b

4x 8x 1 Ox 3 4 Ox 1 Ox 3 Ox 6

Solve e2x 40 Round to the thousandths place x 0 801 Ox 3 689 Ox 1 602 x 18411

log y Solve 3 1 15 for x using the change of base formula log y log b 0 594316 1 405684

Simplify 7 log3 k 6 log3 m 9 log3 n 04 log3 O4 log3 k m n Olog3 km n log3 km n 42km

You decide to put 2 000 in a savings account to save for a 3 000 down payment on a new car If the account has an interest rate of 4 per year and is compounded monthly how long does it take until you have 3 000 without depositing any additional funds 121 862 years 12 1862 voor

Solve 2 log x log 64 x 1 8 x 8 x 32 x 128

an analyst researches the relationship between different energy sources in each state for 2014 The data in the table show the number of stater me coal and nuclear power as an energy source