High School Algebra Questions

Elijah invested 280 in an account paying an interest rate of 2 1 compounded continuously Assuming no deposits or withdrawals are made now long would it take to the nearest tenth of a year for the value of the account to reach 360

snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of otein apiece Which inequality represents the possible ways Nina can eat 12 or more grams of protein if x is e number of cheese squares that she eats and y is the number of turkey slices that she eats O 12 x y O 122x y O 12 2x 3y O 12 2x 3y

Team Miami Marlins a 65 Ob 72 Ticket Using the information provided find the average cost of a single ticket to see a Miami Marlins Game The Fan Cost Index FCI for a Miami Marlin s game is 341 The FCI include four tickets parking for one vehicle four hot dogs and four soft drinks Oc 85 Parking 25 Hot Dog 8 Soft Drink 6 Miami

Find the measure of the indicated angle Ro 44 29 31 33 49 35 33 X 9

Solve each system x y by substitution 5 y 3x 1 y 4x 1 6 y x 2 y 3x 8

X und to the nearest tenth degree 30 32 33 34 23 28 143 10 31

7 y 2x 10 y 4x 8 8 y x 4 y 3x 4

Find the missing side Round to the nearest tenth 23 25 27 42 15 17 18 53 51 X X X 24 26 2

est tenth 24 26 28 19 44 118 X 18 49 X 17 X X

Find the value of each trigonometric ratio 17 cos A A C 12 37 19 sin A 21 tan Z X B 35 C 32 40 27 45 Y 36 7 B 24

11 An object is launched off a 255 foot cliff If the object was launched at 165 feet per second determine maximum height of the object ROUND YOUR ANSWER CORRECTLY TO THE NEAREST WHOLE FOOT no decimal Type a response

What is vertex the of the following 0 O O O x 2 x 6 O 2 16 2 6 0 12 2 6 O 3 2 16 none of these choices ch S

Solve by factoring x 12x 145 145 O O O O O O none of these choices 13 1 8 20 8 20 13 1 23 11 15

What value of c will complete the square x 3x c O O O O O none of these choices 9 1 5 4 5 2 25 S

6 Identify the vertex 0 5x 10x 14 O O 10 5 9 2 9 1 19 0 14 none of these choices 1 1

Use the information to write the vertex form of the parabola f x 2x 20x 5 f x 2 x 5 20 f x 2 x 10 5 none of these choices f x 2 x 20 5 f x 2 x 5 45 S

1 Solve the equation 3x 5 17 a x 6 C x 4 b x 10 d x 2

1 Solve the equation 3x 5 17 a x 6 c x 4 b x 1 d x 2

a The graph of the linear function y 2x 4 is a b The graph of the linear function y 2x 4 is a horizontal line parabola c The graph of the linear function y 2x 4 is a d The graph of the linear function y 2x 4 is a cubic function straight line with a y intercept at 0 4 and a slope of 2

Solve the equation 4y 7 5y 3 a y 3 c y 15 b y 0 d y 10

0 Find the slope of the line passing through the points 2 5 and 4 9 a The slope of the line passing through the points 2 5 and 4 9 is 9 5 4 2 4 2 2 c The slope of the line passing through the points 2 5 and 4 9 is 9 4 b The slope of the line passing through the points 2 5 and 4 9 is 5 2 d The slope of the line passing through the points 2 5 and 4 9 is 2 4

2 Find the value of y when x 2 in the equation y 2x 3 a 1 c y 2x 3 b y 2x 5 d y 2x 1

Graph the linear function y 3x 2 a The graph of the linear function y 3x 2 is b The graph of the linear function y 3x 2 is a circle a straight line with a y intercept at 0 2 and a slope of 3 c The graph of the linear function y 3x 2 is d The graph of the linear function y 3x 2 is a hyperbola a parabola

9 Solve the equation 2 3x 4 10 a x 3 c x 2 b x 5 d x 7

8 What is the y intercept of the line with the equation y 4x 1 a 1 c 3 b 5 d 2

Instructions For the following quadratic functions write the function in factored form and then find the a intercepts axis of symmetry vertex and domain and range y r 4x 3 Factored Form y x z Intercepts Axis of Symmetry x Vertex Domain 1 x and Type least to greatest Type least to greatest

Find the inverse of g x 10 7 Type your answer without spaces Use the A symbol if you need to include an exponent

Graph the function g x log3 2 Find the domain range asymptote x intercept and end behavior of the function Domain Range Equation of Asymptote x intercept End Behavior As I 0 y As y Type your answer in interval notation without spaces use inf for infinity For example 2 inf Type your answer in interval notation without spaces use inf for infinity For example 2 inf Type your answer as an equation without spaces Type your answer as a coordinate point without spaces For example 17 6 POSSIBLE POINTS

24x 36 2 15x y 12x y 9xy 3 x 11x 24 4 3x 8x 5 5 9x 6x 1 1

14 A ball is launched from 6 meters above the ground into the air at a rate of 17 meters per second How high can you expect this ball to be after 3 seconds O O O O 12 9 87 1 3 3 8 10 5 1 20 7

What is vertex the of the following 0 O O O O 2 x 9 x 4 O 14 2 25 2 9 169 2 O 5 169 2 2 2 25 14 4 9 4 9

concerned that the fireworks will explode inside some clouds that are hovering above the area The clouds are hovering between 900 and 1000 feet If the fireworks are launched from a platform 10 feet above the ground at a speed of 255 feet per second how long does it take to get to the clouds O O 5 1 seconds 8 seconds 16 seconds 9 2 seconds none of these choices

5 Sketch the parabola represented by the following equation Graph MUST CONTAIN 3 points and the parabola the vertex and x intercepts if there are any if no x intercepts then ANY two points All features must be clear and all features must be present to get credit Y 2 6x 12x

D An object is launched off a 75 foot cliff If the object was launched at 125 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

What is the y value of the vertex of the following f x 24x O O O O O O 8 6 6 8 2x 7 79 none of these

square you will need to undo a squared term at some point How is this accomplished divide both side by the square root subtract the number under the radical from both sides take the square S root of both sides squaring both sides it cannot be done Your answer is already

What value of c will complete the square x x c O O 2 none of these choices 1 2 1

Solve by factoring x 11x 137 2 O O O O 6 18 7 18 12 18 7 19 11

Factor each Perfect Square Trinomial 11 16x 40x 25 2

Factor each Difference of Squares 7 16x 9

Factor each Long Trinomial 30x 99x 81 19 9p 25p 6

4 1 point The spirit club is conducting a survey to find out the favorite sport of the students in the high school Jake a member of the spirit club asks the members of the basketball team what is their favorite sport Is this sampling method representative of the entire school and explain No they were Jake s friends No the members of the basketball team are more likely to say that basketball is their favorite sport No too small a sample Yes their opinion is a good as anyones 000

1 point A new drug is being tested on mice One dozen mice are given the new drug and tested while another dozen mice are not given anything and tested What kind of data collection is this Observational Study Experiment 00 Sample Survey Census

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 Survey Observational Study Simulation Experiment

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 0 025 0 71 0 035 D 0 29

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 40 these results were considered accurate to within 2 5 What is the confidence level 99 95

Properties of Logs Rewriting one log as multiple logs is an example of Rewriting multiple logs into a single log is an examp expanding condensing

The equivalent exp Look at the Example Suppose the club increases the selling price of a frame to 13 Write an expression with exactly two terms for the amount of money the club will make for selling fframes Show your work 13 2 11 V e

Solve the equation Round your answer to 3 decimal places e x 2 5 X

Determine the domain and range of the 5 co 2 5 4 2 b 1 1 0 1 2 3 1 N 2 Domain 4 3 Range 5 5 Domain 4 3 Range 5 5 3