High School Algebra Questions

1 How many roots or zeros does the equation f x 5x 8x 4x 6x 3 have A O B 4 5 D 3

3 How would you split the polynomial 6 18 18 6 18 S

Guided Example 1 Solve the system of equations and list your solution as an ordered pair y 2x 4 y 4x 2

onvert to exponential form logo 2

Convert to logarithmic form z 101 log

Learning Target I can solve a system of equations by graphing and finding the intersection point of my lines Model Find the solution to the system of equations below 3x y 1 RY 2y 4

Convert to logarithmic form log 7 216

Convert to exponential form log169 13

Convert to exponential form log a y

1 EXPLAIN using specific evidence a POLITICAL CULTURAL and ECONOMIC impact of the 1920s

9 How did Henry Ford ensure that the Model T dominated the sutomobile industry in the early 20th century A Ford bought out the rival Detroit Automotive to limit competition B Ford offered a variety of paint colors and other cosmetic options Ford created the Model T as the most techically advanced automibile on the market Ford made the Model T inexpensive so most all Americans could afford one

8 We therefore formulate and for ourselves adopt the following pledge asking our sisters and brothers of a common danger and a common hope to make common cause with us in working its reasonable and helpful precepts principles into the practice of everyday life I hereby solemnly promise God helping me to abstain from all distilled fermented and malt liquors including wine beer and cider and to employ all proper means to discourage the use of and traffic in the same National Woman s Christian Temperance Union 1908 adapted According to the passage what did the people believe who adopted this pledge Religion had no place in antional politics B Alcohol consumption was damaging to socieyu C Congress should repeal Prohibition D Only the government can solve social problems

7 How did the development of radio contribute to a national American identity Americans began to develop a shared culture across state and regional lines B Television became the centerpiece of the average American living room C Blacks and whites saw their racial divide disappear thanks to mutual interests National celebrities and sports figures became well known throughout the country

The table shows the height in centimeters that a weight bouncing from a spring would achieve if there were no friction for a given number of seconds Time s 0 0 75 1 5 2 25 3 3 75 4 5 5 25 6 Height cm 0 15 0 15 0 15 15 0 From its resting position how long does it take the weight to bounce one direction then the other and then back to its resting position Enter your answer in the box

The average daily maximum temperature for Shane s hometown can be modeled by the function f x 12 2 cos 54 9 where f x is the temperature in F and x is the month x 0 corresponds to January What is the average daily maximum temperature in March Round to the nearest tenth of a degree if needed Use 3 14 for T Enter your answer in the box

The graph shows how many meters above a stream y that a bucket on a water wheel is rotating for a given number of seconds X How many degrees is the bucket rotating in 10 s Enter your answer in the box 18 16 14 12 64429886 10 y 2 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36

2 Determine the restriction on the radical equation a x 5 4 c 2x 3 6 b 9 x 5 d 10x 8 3 x

Convert to logarithmic form z 101 log

Convert to exponential form log x y

Convert to logarithmic form 216 log

Convert to logarithmic form 35 243 log www

12 1 point The approximate time t in seconds that it takes an object to fall a distance of d feet is given by t object fall in 8 seconds 128 feet 64 feet 16 384 feet 1024 feet d How far will the 16

Simplify the expression m 15 M 7 Om 0200 Previous 15 m 2 NIHI m 1 5

You invest 15 000 in a bank account that earns 3 4 interest compounded continuously How much is in the account after 20 years Round your answer to the nearest cent POSSIBLE POINTS 2

2 4x 22x 28 0

x 3 Solve 6 2 6 X 1 216

2 6x 12 11x 5 5

Solve 625 m 1252m 2 m 514

Solve 64 162v 3 V 114

d the x intercepts of the quadratic equations A B 2 1 2n 7n

Directions Calculate the critical points of the quadratic equation and graph the parabola 6 y x 8x 12 X intercepts Vertex min max Y Intercept 10 8 6 101 8 6 4 4 2 2 2 4 6 8 2 4 6 8 1

3 What is the slope of the line 2x y 10

2 What is the y intercept of the line 2x 4y 12

Write the slope intercept form of the equation of 3 15 through 4 1 parallel to y x 4 17 through 2 5 parallel to y x 3 3 19 through 3 3 perp to y x 2 8 21 through 1 3 perp to y x 16 through 4 5 parallel to y x 4 18 through 4 4 parallel to y 3 3 20 through 0 4 perp to y x 1 2 22 through 2 4 perp to y x 5

Graph each linear equation A y 2x 1 B y 3x 2 34 S A

What are the domain and range of the function f x 327 Domain 0 0 U 0 O Range 0 U 0 Domain 0 U 0 O Range 0 0 Domain O Range 0 0 Domain 0 U 0 O Range 0 0

What are the equations of the asymptotes of the graph of f x 1 11 Select each correct answer Ox 1 OX 1 Oy 11 Oy 11

Which graph represents the function f x 2 12 4 3 2 5 4 3 2 1 O 2 3 31 3 2 10 2 3 2 3 4 5 5 4 3 21 12345 O 15 2 5 4 3 2 1 2 3 34 4 3 2 1 2 3 4 5 2 X 5 4 3 2 1 1 2 3 4 5

Which graph represents the function f x 3 O y 3 O 8 7 6 1 31 11 b T 29 654 3 x 1 4 w N f x A 24 f x 3 4 5 7 6 5 4 3 5 4 3 2 x 1 y 3 f x 2 4 5 16 f x 345

1 3 Graph each equation 1 y x 5 2 3 y x 4 1 5 5 y x x 3 2 77 y x x 6 4 6 2 y x 1 2 4 y x 2x 3 6 y 3x 2 Identify the vertex and axis of symmetry of each Then sketch the graph 8 y x 6 x 2 8

Graph each equation 1 1 y x 5 2 3 3 y x 4 1 5 5 y x x 3 2 7 7 y x x 6 4 6 2 y x 1 2 4 y x 2x 3 6 9 4 Identify the vertex and axis of symmetry of each Then sketch the graph 8 y x 6 x 2 8

Solve 3x 5 9 Ox 3 x 2 Ox 7 x 8

If 360 is invested at an interest rate of 4 per year and is compounded quarterly how much will the investment be worth in 18 years Use the compound interest formula A P 1 175 86 422 39 t

A jet ski depreciates 11 each year If the jet ski was 8 000 at its time of purchase what is the value of the jet ski after 5 years 13 480 47

03 07 MG If a new boat was purchased for 45 000 and the value of the boat decays continuously at a rate of 8 per year what is the value of the boat after 7 years Use the formula A t cet 25 704 41

A bacteria culture begins with 4 bacteria which double in size every hour How many bacteria exist in the culture after 8 hours 128 256 1 024

8x Solve 6 Ox 9 Ox 3 Ox 0 Ox 4 216x 3

Solve 3x 6 34 0 2 04 6

Solve 81x27x 2 Ox 1 Ox 2 Ox 5 Ox 6

05 01 MC Solve 1 5X 4 25 Ox X Ox 6 9 2 7 0 X 2 2