Algebra Questions

9 The dimensions of a rectangular prism are represented by binomials as shown a Write a simplified expression that represents the surface area of this prism Suface ARQ 5 11 1 1 FW 2 ZW n 4 W 1 2n 3 L 7x55 42 9x5 2 7 5 70 40 56 b Write a simplified expression that represents the volume of this prism SA 2Q 3 r TA H 2 20 1 4 2 2 2 4 12 172 24 34 9 If n represents 6 5 cm what are the surface area and volume of the prism n 3 2 477 221 2

3 Tyler needs to complete this table for his consumer science class He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons number of teaspoons number of tablespoons number of cups 36 12 48 2 3 a Complete the missing values in the table b Write an equation that represents the number of teaspoons I contained in a cup C

Given that g x 2x 3x 11 find each of the following a g 0 b g 1 c g 2 d g x e g 1 t a g 0 Simplify your answer

g 18 75 Type an integer or decimal rounded to three decimal places as needed B g 18 75 does not exist OC g 18 75 is not a real number O A Textbook Clear all 3 Pearson Education Inc All rights reserved Terms of Use Privacy Policy

1 What is the following number in standard form three hundred thousand six hundred eleven

geogebra org lti launch 5 4 3 2 10 9 8 7 6 432459 4 T 23 6 8 96 10 y X 1 2 3 4 5 6 7 8 9 10 11 Use the two points to graph the line y 5 Check Answer 3

The graph of the function h x is shown Find the function values h 2 h 4 and h 5 h 2 10 R Save

Find the domain of the function f x 19 x The domain is Type your answer in interval notation

Find the domain of the function f x x 5 8 X The domain of the function is Type your answer in interval notation

Use the graph of the function f shown to the right to find f 0 f 1 and f 2 f 0 10 8 64 10 19 P 40 10

Find the slope of the line containing the given points OA The slope of the line m OB The slope is not defined Ay Select the correct choice below and if necessary fill in the answer box to complete your choice Type an integer or a simplified fraction 08 X 10

Find the equation of the circle Express the equation in standard form The equation of circle is 30 20 10 30 20 10 Ay 104 20 30 20 X

3 1 a solution of the equation 4a 6b 5 Select the correct choice below and if necessary 6 Is the ordered pair fill in the answer box to complete your choice OA Yes because after substituting for a and b it gives the result 5 5 B No because after substituting for a and b it gives the result 4 5 Type an integer or a simplified fraction Is the ordered pair 0 a solution of the equation 4a 6b 5 Select the correct choice below and if necessary fill in the answer box to complete your choice OA No because after substituting for a and b it gives the result Type an integer or a simplified fraction OB Yes because after substituting for a and b it gives the result 5 5 5

The points 5 3 and 3 8 are endpoints of the diameter of a circle Determine the center of the circle C The center of the circle is Simplify your answer Type an ordered pair Use integers or fractions for any numbers in the expression Type an exact answer for each coordinate using radicals as needed

4a 6b 5 Is the ordered pair to complete your choice SID a solution of the equation 4a 6b 5 Select the correct choice below and if necessary fill in the answer box OA Yes because after substituting for a and b it gives the result 5 5 5 OB No because after substituting for a and b it gives the result Type an integer or a simplified fraction

The points 7 5 and 11 3 are endpoints of the diameter of a circle Determine the center of the circle The center of the circle is Simplify your answer Type an ordered pair Use integers or fractions for any numbers in the expression Type an exact answer for each coordinate using radicals as needed

Find the center and the radius of the circle Then graph the circle x 1 y 4 16 The center is Simplify your answer Type an ordered pair

Find the distance between the pair of points 6 and The distance between the pair of points is Type an integer or a simplified fraction

Find the equation for the circle with center 5 4 and passing through 3 3 Write the equation for the circle Simplify your answer www

Find the midpoint of the segment with the given endpoints 6 10 and 6 5 The mic Type a each ca

one point to the y axis The equation of the circle is Type an equation Type your answer in standard form Use integers or fractions for any numbers in the equation 20 16 LEBLE 20 20

Find the midpoint of the segment having endpoints 5 5 2 2 and 2 2 5 5 The midpoint is Simplify your answer Type an ordered pair using integers or decimals

Find the standard equation of the circle having the given center and radius 5 3 Center 3 5 Radius The equation of the circle is Type an equation Type your answer in standard form Use integers or fractions for any numbers in the equatic

1 In a study of fatal car accidents some accidents were attributed to high speed or drunk driving a The probability that the fatality was attributed to high speeds was 0 57 b The probability that the fatality was attributed to drunk driving was 0 62 c The probability that high speed and drunk driving caused the accident was 0 41 a 1 pt What is the probability that a fatal accident will be attributed to high speeds or drunk driving X Work 0 25 pts Replace these words with a cropped picture of your work for question 1a only Answer 0 25 pt Reasoning Explanation 0 5 pt b 2 pts What is the probability that a fatal accident will be attributed to neither cause

Solve each inequality 1 x 3 5 A No solution B x22 or x 8 C x2 16 or x 6 D All real numbers 2 m 3 1 A m 4 or m 2 B All real numbers C m 3 or m 3 3 cm 3

7 0 2k 1 2 2 6 4 28 A 1 5 k 1 B 4 9 k 1 4 C k 0 8 or k 2 1 D All real numbers 9 3 5 1 8v 5 42 11 97 A No solution B 4 2 v 4 7 C 4 9 v 1 1 D v 4 2 or v 24 7 8 8 3 9 5 9 2n 11 31 A 1 5 n 4 4 B n 2 8 or n 0 2 C 4 n 1 5 D n 0 2 or n 2 8

11 Solve each inequality and graph its solution 10 3 8a 2 3 2 4 14 96 A No solution 4 3 2 0 11 2 9n 3 8 4 8 7 35 A 3 2 n 2 3 1 B 2 6 a 1 3 4 3 2 1 0 1 2 3 4 C a 4 9 or a 2 2 6 D a 4 2 or a 3 7 4 23 10 9 8 7 6 5 4 3 2 1 0 1 2 3 1 7 6 5 4 3 2 1 0 1 2 3 4 5 6 5 678 B n 2 5 or n 0 5 C All real numbers 7 6 5 D 2 5 n 0 5 5 678 4 9 8 7 6 5 4 3 2 1 0 1 2 3 1001 9 8 7 6 5 3 2 1 0 1 2 3 0 1 2 3 4 5 6 7 0

5 1 x 5 23 A x 1 or x 6 B 1 x 6 C x 14 or x 16 D 5 x 3 6 6 4 4 6 A 12 x 0 B x 6 orx 6 C 2 x 3 D 6 x 6

x 2 4 A x 2 or x 1 B x 4 or x 2 C x 2 or x 10 D 2 x 6 4 n 4 2 1 3 A 1 n 2 B 3 n 3 C n 1 or n 2 D n 3 or n 3

iply x 2 213 Simplify your answ

Find the product Write the result as a polynomial in standard form 30 x y 30 x y 30 x y 30 x y

Find the product Write the result as a polynomial in standar x 7 x 7 x 7 x 7

Assume S 0 9Y 17 describes the projected relationship between S sales of a company in millions of dollars for Y years fro today Express the equation using only units of measure O million dollars dollars dollars year million dollars years years dollar million dollars million dollars month months million dollars years dollars dollars year million dollars years million dollars year years million dollars years million dollars i

Suppose during a 5 year period the profit P in billions of dollars for a large corporation was given by P 7 2Y where Y represents the year a Fill in the chart b What are the units of P Y d What was the initial profit 0 1 2 3 P c What does the 2 in the equation represent and what are its units

Assume S 0 6Y 24 describes the projected relationship between S sales of a company in millions of dollars for Y years from today What are the units of 0 6 and what does it represent The units of 0 6 are and it represents

The relationship between the balance B in dollars left on a mortgage loan and N the number of monthly payments is given by B 202 200 650N What does 202 200 represent

Consider the equation G 13 000 60n a Find the value of G for n 0 1 20 n 0 G n 1 G n 20 G i MI b Express your answers to part a as points with coordinates n G Give the answers in increasing orde T

The equation W 7 0 1 5A modeling weight as a function of age expressed in units of measure only is Ib lb lb month Express the equation C 17P 10 which describes the relationship between the number of persons Pin a dining party and the total cost in dollars C of their meals in units of measure only dollars cents persons dollars person dollars cents person persons dollars persons dollars persons dollar cents persons dollars person O dollars dollars persons dollars persons cents months

From the figure below estimate the weight W of a baby girl who is 1 5 months old Then use the equation W 7 0 1 54 to calculate the corresponding value for W Enter the exact answer Weight in pounds W 20 15 10 0 2 Age in months Figure Median weight for girls

Assume S 0 9Y 24 describes the projected relationship between S sales of a company in millions of dollars for Y years from today What would be the projected company sales in three years millions of dollars

Which of the following values are solutions to the inequality 4 2 4x Answer None II only I and II II and III I 4 II 1 III 2 I only III only I and III I II and III

Intial Month Month 1 Month 2 Month 3 Month 4 Month 5 Month 6 Month 7 Month 8 Month 9 Month 10 Month 11 Month 12 24 Annually 1 500 00 1860 Balance 6 Quarterly 1 500 00 1590 16 85 4 2 Monthly 1 500 00 1786 551 1843 7 1530 1560 6 1591 8 1623 6 1656 1 P

Given a continuous time signal as in Figure 1 x t i Sketch and label each of the following ii x t 1 1 y 4t 1 0 Figure 1 2

2 Use the graph of p n below to answer the following questions pin 2 4 2 2 2 4 6 n a What is p 1 b What is p 0 c Solve p n 1 d Solve p n 0 e For which values of n is p n 1 f Solven n

Identify any relative maxima or minima and intervals on which the function is decreasing and increasing The relative maximum is at x The relative minimum is at x On which intervals is the function increasing OA 8 2 and 2 0 14 8 1 50 Ay 2 19 50 10 o o

You want to purchase a new computer for 1 500 from Computer Superstore Since you don t actually have 1 500 for the computer you decide to apply for a store credit card When a person makes a purchase with a credit card they are often charged interest Interest is a fee charged in exchange for allowing you to borrow money and is usually calculated as a percent of the balance you owe There are three different credit cards available at Computer Superstore niso

a Solve the following system of linear equation using Gauss elimination method Y 2z 2 I X 2y 2x ay 2 52 2 b b Find the condition on a and b such that the system has infinitely many solution c If b 4 Is the system of linear equation non homogeneous Give a reason

Oil Rig Oil Pipeline Water N 16 Miles Land Refinery An Oil Rig is located a 8 miles from a straight coastline An Oil Refinery is located 16 miles down the coastline The cost of putting in a pipeline from the Oil Rig to the Oil Refinery depends on whether it is on land or in the water Rather than coming directly to the shoreline and then turning at a Right Angle suppose that the Oil Pipeline met the shore at a point b 4 miles from the Right Angle If the cost is 8000 per mile for land and 15000 per mile for water what is the cost of the Pipeline

A teacher wishes to distribute 42 identical pieces of cand among 4 students based on how many pages of a book they read last month The table below lists the total number of pages read by each student Child Pages Sam 630 Garrett 180 Apportion the candy using Jefferson s method Sam s final apportionment Garrett s final apportionment Damien s final apportionment Jason s final apportionment Damien 205 Jason 355 only type the number of candy

Based on the enrollment figures from the previous year a community college expects the total enrollment in mathematics courses broken down by course to be that given in the table below The college employs 15 mathematics professors and they each teach five sections The mathematics department chair decides to apportion the classes among the six courses according to the expected enrollment Apportion the classes using Hamilton s method Round all values to three decimal places when showing work Course DMA Algebra T Course Enrollment 862 561 11 Quota Hamilton s Final Apportionment