High School Algebra Questions

The equation p 100 000 0 8 represents the population p of migrating butterflies w weeks since they began their migration 5 1 Is the population growing or decaying Explain your thinking 5 2 By what percent is the butterfly population changing each week 5 3 What will the population be after 5 weeks A book sold 600 000 copies the year it was released Each year the number of copies sold decreased by 50 7 1 Write an equation that represents the number of copies c sold t years after the book was released 7 2 Use a graphing calculator to determine the value of c when t 6 Explain what it means in this context The equation A 5 000 1 25 represents the area of a forest in acres A where d is the number of decades since 1950 6 1 is the area of the forest growing or decaying Explain your thinking 6 2 By what percent is the area changing each decade 6 3 What was the forest s area after 4 decades Scientists tracked the population of bees p t in a county for t years They wrote the equation 100 000 0 82 to represent their findings p t 8 1 Describe what each number in the equation represents in this situation 8 2 Calculata p 3 Explain what that means in this context

Write and simplify a polynomial with 4 31 and 0 multiplicity 2 as roots Write your answer in standard form

8 1 point There is a study on exercise and health a group of women who have been exercising regularly for 5 years are grouped and given a wellness exam and compared to a group of women who have not exercised in the past five years What kind of data collection is this Observational Study Experiment O O O O Survey Simulation

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 Is this an experiment or an observational study Experiment Observational Study

1 point Researchers tested a new cleansing product called Protective Daily Wash on 100 randomly selected participants The researcher put 50 participants in Group A and 50 participants in Group B Group A was given instructions to wash their face daily with the product in a commercial bottle which was only distilled water that was then scented to smell like the actual product Group B participants were given the actual Protective Daily Wash product in a commercial bottle and told to wash their face daily with the product This is an example of which type of study Simulation Experimental Study Census Observational Study

1 point The Advanced Algebra teacher wants to know if the students need a study guide for the test What is the best design for data collectic Observational Study Experiment Census Survey

Write Name Date Period On multiple choice questions explain your choice using math drawings and or words Also explain choices on 4 Each question is worth 4 points 1 Explain why the domain of y sin x is 1 1

Select all expressions are equivalent to 38 A B C 83 310 32 LL 3 8 D 34 E 3 3 4

An arch of a walkway can be modeled by y 0 06x where x and y are measured in meters Find the height and width of the arch when the arch meets the ground at the points 10 6 and 10 6 Height m Width m M

5 What are the roots of the polynomial function y x 2 x 7 A 2 7 3 B 2 7 multiplicity 3 c 2 7 3 D2 7 multiplicity 3

The degree of a polynomial determines A the y intercept B if the end behavior is up or down the number of turning points the maximum number of x intercepts

4 Factor 27x 64 A 3x 4 9x 12x 16 B 3x 4 9x 12x 16 c 3x 4 9x 12x 16 D 3x 4 9x 12x 16

The longer leg of a right triangle is two inches more than twice the length of the shorter leg The hypotenuse is two inches less than three times the length of the shorter leg Find the length of the hypotenuse Type a response

8 Question 8 9 How does a multiplicity of 2 affect the graph A bounce B wiggle C cross

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF 27X 3437 DIFFERENCE OF TWO CUBES B SUM OF TWO CUBES FACTORING BY GCF D DIFFERENCE OF TWO SQUARES

A water balloon is catapulted into the air so that its height h in metres after t secc h 4 9t 27t 2 4 6 How high is the balloon after 1 second zoom in 7 8 For how long is the balloon more than 30 m high What is the maximum height of the balloon

An object is launched directly upward at 64 feet per second ft s from a platform 80 feet high When will it attain this height in seconds

A 1 2 3 4 5 6 7 6 1 point Simplify 8 9a3 72a 3a 36a 3a 72a 3a 8a 3a Previous

8 1 point Simplify 49x y4 7zy 24 5 x y 07 x y Oxyl

Graficul func iei R R f x x trece prin punctul abscisa 1 21 Afla i ordonata acestui punct

7 1 point Use a calculator to approximate each value t 89 9 434 9 434 9 433 9 Previous

Write an exponential model given the two points 8 120 and 9 230 C The model is y Use integers or decimals for any numbers in the expression Round to three decimal places as needed

Cassie is financing a 2 400 treadmill She is going to use her credit card for the purchase Her card charges 17 5 interest compounded monthly She is not required to make minimum monthly payments Answer parts a through c below a How much will Cassie pay in interest if she waits a full year before paying the full balance Round to the nearest cent as needed

Write an exponential model given the two points 10 140 and 11 240 BELED The model is y Use integers or decimals for any numbers in the expression Round to three decimal places as needed

Interest is compounded semianually Find the amount in the account after the given time Principal Rate of Interest Time 3000 6 3 years The amount in the account is Round to the nearest cent C

Jae invested 3 500 at a rate of 2 25 compounded continuously in 2010 How much will be in the account in 2025 How much interest will the account have earned by 2025 There will be in the account in 2025 Round to the nearest cent as needed

Find the amount in the account for the given principal interest rate time and compounding period P 1 200 r 2 1 t 7 years compounded continuously 1 0 Type an integer or decimal rounded to the nearest cent as needed A

and 3 livestock cars A train is made up of 9 cars How many ways can the train be made up ways

Paisley found the following measures for the dimensions of her store 17 ft 24 ft How many square feet of carpet will Paisley need for her store O 459 square feet O 648 square feet O 41 square feet 27 ft O 408 square feet

What if Paisley s store was a rectangle with the same dimensions How would that change the amount of carpet she needs O The amount of carpet she would need would increase O The amount of carpet she would need would decrease O The amount of carpet she would need would stay the same

The height of a parallelogram must be O parallel to O the same length as Operpendicular to O longer than its base

What is the formula for the area of a parallelogram 04 bh OA bh OV lwh OV lwh

2 The polynomial p is a function of x The graph of p has four zeros at 4 Select all the expressions that could represent p A 3x x 4 x 7 x 9 B x x 4 x 2 x 9 C 3x x 4 3x 2 x 9 D 3x x 4 2x 3 x 9 E 3x x 4 3x 2 x 9 0 and

Graph h x 2 sin 2x 3 Use 3 14 for T Use the sine tool to graph the function The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point Move 4 71 Sine 3 14 1 57 7 6 5 4 Undo 3 2 1 0 1 2 3 4 n x 1 57 Redo 3 14 x Reset 4 71 X

Which graph represents f x 2 cos 4x O 2 2 MM M 15 0 5 2 1 5 3 2 1 www 0 1 5 0 5 1 5 21

2 Solve for x expressed as a mixed radical Show your work 3 b x 72 a x 80 x 180 316 55 c x 256 5 marks

4 Simplify Show your work express answers in exact value Remember BEDMAS a 3 2x 5x 8x b 8 16 10 3 18 c 3 6 4 3 e 2 3 7 5 5 3 45 d x 2 3 h 2 16 m

Use the following information to answer questions 1 and 2 George is standing on the top of a 275 foot building He throws a ball straight up into the air The ball s initial velocity is given as 48 ft sec The height in feet of the ball after t seconds is given by h 16t2 48t 275 1 How long will it take for the ball to reach its maximum height above the ground 2 What is the maximum height that the ball reaches Use the following information to answer questions 3 5 Shelly is standing on a platform 100 feet above the ground She tosses a baseball straight up into the air The formula h 16t 64t 100 models the ball s height h above the ground t seconds after it was thrown 3 How long will it take for the ball to reach its maximum height above the ground 4 What is the maximum height that the ball reaches 5 How many seconds does it take for the ball to finally hit the ground rounded to the nearest tenth of a second Use the following information to answer questions 6 8 Les is standing on the ground He launches a model rocket straight up into the air The formula s 16t 64t models the rocket s height s above the ground t seconds after it was launched 6 How long will it take for the rocket to reach its maximum height above the ground 7 What is the maximum height that the rocket reaches 8 How many seconds does it take for the ball to finally hit the ground rounded to the nearest tenth of a second

3 Express as an entire radical Show your work a 3m 7 b 26 c 2x y 3xy 6 man

Which statement describes the graph of f x 4x3 28x2 32x 64 The graph touches the x axis at x 4 and crosses the x axis at x 1 The graph touches the x axis at x 4 and crosses the x axis at x 1 The graph crosses the x axis at x 4 and touches the x axis at x 1

What is the factored form of a 121 a 11 a 11 a 11 a 11 a 121 a 1 O O O

Use the trigonometric ratios to find each angle measure to the nearest degree 16 17 18 cos X 0 3420 19 tan X 253180 sin X 20 sin X 0 94 21 1 2799 tan X cos X 83 129

According to the Fundamental Theorem of Algebra how many roots exist for the polynomial function f x 8x7 x x 6 7 roots 8 roots 3 roots

How many solutions exist for the mixed degree system graphed below three zero one two X

Use synthetic division to solve 2x 4x 35x 15 x 3 What is the quotien 2x 2x 29 102 X 3 2x 10x 5 2x 2x 29 1 3

If a polynomial function f x has roots 8 1 and 6i what must also be a root of f x 6 61 6

4 The degree of the function is A the size of it B the greatest exponent on the variable C the number of terms

Which polynomial function could be represented by the graph below 884 to 6 geg do br f x x 6x 8 f x x 6x 8 f x 3x 18x 24 8 X

What is the completely factored form of x 64x x 4 x 4 x 4 x x 8 x 8 x x 8 x 8

Factor the polynomial 12x 9x 4x 3 A 3x 1 4x 3 B 3x 1 4x 3 C 4x 1 3x 3 D 4x 1 3x 3