Algebra Questions

Answer the following a The diameter of Mercury at its equator is approximately 4 88 10 kilometers Write this number in standard notation b An astronomer s infrared telescope is able to detect radiation with a wavelength of 0 0000196 meters Write this number in scientific notation a kilometers b meters X

A flower garden is shaped like a circle Its radius is 16 yd A ring shaped path goes around the garden The width of the path is 5 yd 5 yd 16 yd The gardener is going to cover the path with sand If one bag of sand can cover 6 yd how many bags of sand does the gardener need Note that sand comes only by the bag so the number of bags must be a whole number Use the value 3 14 for It bags of sand X

2 Let U Names of the states in the United States A States that begin with the letter A AK AL AZ AR B States that border Mexico AZ CA NM TX C States on the Pacific coast AK CA OR WA a 2 pts Find BUC Answer 1 pt Reasoning Explanation 1 pt b 1 pts Find n BNC Answer 0 5 pt Reasoning Explanation 0 5 pt

Calculate 7x10 5 3 10 3 Write your answer in scientific notation 1 x10

Solve for w 7w 9 21 Simplify your answer as much as possible W 8 V

Rewrite the following without an exponent 0 2 3 2 8 08

10 The first term in an arithmetic sequence is 2 The third term in the sequence is 6 The eighth term in the sequence is 26 Create a table for the sequence 11 Write an explicit and recursive function for the sequence 12 A high school club is researching a tour package offered by the Island Kayak Company e company charges 35 per person and 245 for the tour guide Complete the table using the information The Number of People Price of Tour Package 1 2 3 4 5 a Write an explicit function that represents the total cost C x of this kayak tour package for x club members b How much would the package cost for 20 people

1 Given the following equation y 2 Given the following graph identify key characteristics L 40 3 35 30 25 20 15 10 5 Domain Range f 8 f x 3x 6 F 4 3 x 4 6 14 6 Find f 4 P X 10 f x 3X 6 FL10 3 x 10 6 F 10 24 f 10 24 Distance Traveled from Home 2 2 5 Evaluate the function f x 4x 6 for f 10 f110 4x10 6 F 10 34 Shunt Shillariadt neb LabW

Use the following graph to answer questions 4 5 C Cost 30 25 20 15 40 54 n 0 Time h 4 What is the domain of the function a 5 What is the y intercept of the line What does it represent in this scenario Use the table to answer the following question 1 2 5 2 6 Bike Rental Rates 3 7 What is the 15th term 10 4 14 18 10 6 Write the recursive and explicit formula for the sequence 8 Alex is selling tickets to a school play An adult ticket costs 6 50 and a student ticket costs 4 00 Alex sells x adult tickets and 12 student tickets Write a function f x to represent how much money Alex collected from selling tickets 9 Find F 8 Explain what that represents in this problem

Explain what it means to simplify an algebraic expression Choose the correct answer below O A Rearranging terms using the Commutative Property B Removing all parentheses and combining like terms OC Substituting a numerical value for each variable in the expressio

Use the distributive property to remove the parentheses 3n 6n 1 4 3n 6n 1 4 Simplify your answer

Determine whether the terms are like or unlike 2x and 2 Are the terms like or unlike O Like O Unlike

Evaluate the expression when x 2 and y 3 x 2y x 2y Simplify your answer

Evaluate the expression when a 8 b 9 and c 2 b 4ac 6 4ac 2 when a 8 b 9 and c 2 Simplify your answer

Evaluate the following expression using the given values of the variables 3x 4y x y 3x 4y x y for x 5 y 2

Evaluate the expression 4 k for k 5 When k 5 4 k 0 Simplify your answer

Simplify the following expression 5x 3 x 2 7x 1 5x 3 x 2 7x 1

Simplify the following expression 3 a 5b a 5b 4b 3 a 5b a 5b 4b

Simplify the following expression 1 20x 10 10 6x 1 20x 10 10 6x Use integers or fractions for any numbers in the ex

Simplify the following expression m 5n 2 m 4n 9 2n m 5n 2 m 4n 9 2n

Evaluate the given algebraic expression for x 6 7x 6 The solution is Type an integer

Combine like terms in the following expression 2ab 6a b 3ab 9a b 2ab 6a b 3ab 9a b Simplify your answer

9ac 6b 5ac 3a b 9ac 6b 5ac 3a b Use integers or fractions for any numbers in the expressi

Combine like terms in the following expression 5a 3b 8a 4b 4 5a 3b 8a 4b 4 Simplify your answer

Simplify the following expression by combining like terms 14z 17z 3 8 14z 17z 3 8 Type a simplified expression

5 The graph to the right shows the temperature during a day in Ames a What was the average change in temperature from 9 am to 1 pm b Estimate how fast the temperature was rising at 10 am and at 7 pm 6 The graph shows the distance of a car from a temperature F 80 70 A noon

Identify the x intercept s of the graph of h x 5 x 5 x 1 5 1 The graph is increasing to the and decreasing to the 3 0 of x of x

len s beta fish tank holds 4 gallons of water It takes him 1 minutes to fill it mat is the flow rate of the water in gallons per minute Show your work

10 9 11 2 8 7 5 F C 32 C K C 273 Directions Use the formulas to convert between each temperature scale 1 2 3 4 Name Period Surface temperature of the sun Average temperature of a human Temperature of Lava Temperature of dry ice frozen CO Average yearly temperature of Antarctica Temperature of a hot bath Temperature of outer space Hottest temperature recorded on Earth Death Valley in the United States Temperature of the moon Temperature Conversions Average winter temperature in Siberia Temperature that water freezes Kelvin 5778 K 329 7 K Date 30 K F 32 Celsius 1 170 C 57 C 45 C 0 C Fahrenheit 98 6 F 109 3 F 455 F 50

Use the Distributive Property to remove the parentheses in the following expression 7 m 5 7 m 5 Simplify your answer

Tell if the terms are like or unlike 6v 2 Are the terms like or unlike Like Unlike

Determine the coefficient of The coefficient of 7 b is 7 b 8 Type an integer or a simplified fraction

Use the distributive property to remove the parentheses 20x 10 5 3 20x 10 3

Simplify the algebraic expression by combining like terms 9x 17x 2 9x 17x Simplify your answer

Simplify the expression by combining any like terms 3g 2g 3g 2g

Use the distributive property to remove the parentheses 4 x 9 4 x 9 Simplify your answer Use integers or fractions for any numbers in the expression

Determine whether the terms are like or unlike 6x k and 5xk Are the terms like or unlike OA The terms are unlike terms because the variables are the same but the exponents on the variables different OB The terms are like terms because the variables and the exponents on the variables are the same OC The terms are unlike terms because the variables are different but the exponents on the variables same OD The terms are like terms because the variables and the exponents on the variables are different

Tell if the terms are like or unlike f 100 9f Are the terms like or unlike O Unlike

Determine whether the following terms are like or unlike 5 p and p 3 4 Are the terms like or unlike OA Unike because the terms have the same variable factor but with different exponen OB Unike because the coefficients of both terms are different OC Like because the coefficients of both terms are fractions OD Like because the terms have the same variable factor

Identify the terms in the following algebraic expression 7x 5xy The terms in the expression are Use a comma to separate answers as needed

Evaluate the expression 10y y 40 for y 2 When y 2 10y y 40 Simplify your answer

Determine the coefficient of the term 6x The officient in

Give the numerical coefficient of the term XW The numerical coefficient is

Evaluate the expression 3x 4 for x 4 When x 4 3x 4 Simplify your answer

Identify the graph of g x 2 x 1 2 3 Then identify the vertex and axis of symmetry 2 4 2 y YA A 2 4 x 2 x The vertex is 1 The axis of symmetry is 3 O O 2 4 2 4 2 2 y 6 10 2 4 x 2 x

K Americans trust in government and the media has generally been on a downward trend since pollsters first asked questions on these topics in the second half of the twentieth century Trust in government hit an all time low of 14 in 2014 while trust in the media bottomed out at 32 in 2016 The bar graph shows the percentage of Americans trusting in the government and the media for five selected years Use this information to answer parts a c a Use the information in the graph to estimate the yearly loss in the percentage of people trusting in government The yearly loss in the percentage of people trusting in government is Round to the nearest tenth as needed Percentage The model predicts the percentage of people trusting in government will be in 2024 Type an integer or decimal rounded to the nearest tenth as needed 70 60 50 40 30 20 10 b Write a mathematical model that estimates the percentage P of people trusting in government x years after 2003 The mathematical model P estimates the percentage P of people trusting in government x years after 2003 Use integers or decimals for any numbers in the expression Use the answer from part a to answer this part c If the trend shown by the data continues use the mathematical model from part b to project the percentage of people trusting in government in 2024 Trust in media Trust in Goverment 55 35 31 47 19 44 2003 2007 2011 18 40 16 41 2015 2019

How much more would you earn in the first investment than in the second investment 22 000 invested for 40 years at 12 compounded annually 22 000 invested for 40 years at 6 compounded annually Click the icon to view some finance formulas You would earn more on the first investment than in the second investment

K With aging body fat increases and muscle mass declines The line graphs show the percent body fat in adult females and males as they age from 25 to 75 years Use this information to complete parts a through c below CE a Find an estimate for the percent body fat in 75 year old males Type a whole number b At what age does the percent body fat in males reach a maximum years old Type a whole number What is the percent body fat for that age Type a whole number c At what age do males have 23 body fat years old Type a whole number Percent Body Fat 40 36 32 28 24 20 15 Percent Body Fat in Adults 25 35 45 Age Females Males 55 65 75 oo

Match the story with the correct graph As the leak in the pipe became worse the liquid flowed faster and faster Choose the graph below that best illustrates the story OA Amount of liquid Time OB Amount of liquid Time O C Time O D Time

points reflected across a line the shape of a reflected figure and reflections appearing in a tessellation or mosaic Question 1 Imagine reflecting triangle ABC across line MN Then answer the questions about the reflected figure