# Algebra Questions

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Algebra
5 The temperature is 36 degrees in the morning and rises d degrees by the afternoon and falls 7 degrees at night If the temperature is 42 degrees at night how much did the temperature rise in the afternoon 6 Tricia went to the library with b books and returned 5 but took out 2 If Tricia has a total of 8 books out how many did she start with 7 Blaine is going bowling and will need to pay 4 for shoes and then 3 for every game Write an equation for the situation if g represents the games played and C represents the total cost 3 Stan bought 8 fish for f dollars each and a fish tank for 60 Write an equation to represent the situation if T represents the total cost
Algebra
6 17 subtracted from a number squared 7 A number cubed is at least 125 8 4 times the quantity of a number plus 10 equals 80 9 The difference of 9x and x to the fifth power 10 Half of a number is more than 16 11 The quotient of twice a number and 5 is 12 12 16 reduced by triple a number is smaller than 22
Algebra
1 The quotient of a number and 5 2 The sum of 8 and a number is 14 3 The product of 9 and a number is no more than 27 4 14 less than x is 22 5 8 less than the product of 6 and a number 6 17 subtracted from a number squared
Algebra
Find the area of the triangle ABC a 105 8 m b 74 7 m c 99 8 m What is the area of the triangle 2 3565 6 m Round to the nearest square meter as needed
Algebra
Use log 20 335 log 30 621 and log 50 794 to approximate the value of the given logarithm to 3 decimal places Assume that b 0 and b log 12 X
Algebra
5 Find the exact value of the following logarithmic expression Jog 1296
Algebra
is the midpoint of DF DE 6x 1 and EF 7x 4 Find DE EF and DF
Algebra
Sequences & Series
4 Find the exact value of the following logarithmic expression logi 81
Algebra
Use the parent function f x b and transformation techniques to graph g z 5 1 Also indicate which transformation s is are applied Determine the domain range and horizontal asymptote of g Select all transformations that apply Horizontally stretch the graph of f by a factor of 1 Shift the graph of f 1 unit down Shift the graph of f 1 unit to the right Shift the graph of f 1 unit up Horizontally compress the graph of f by a factor of 1 Shift the graph of f 1 unit to the left Reflect the graph of f about the y axis vertically compress the graph of f by a factor of 1 Vertically stretch the graph of f by a factor of 1 Reflect the graph of f about the z axis
Algebra
Use the parent function f z b and transformation techniques to graph g x e 6 5 Also indica which transformation s is are applied Determine the domain range and horizontal asymptote of g Select all transformations that apply Reflect the graph of f about the y axis Shift the graph of f 5 units down Shift the graph of f 6 units to the left Horizontally compress the graph of f by a factor of 6 Horizontally stretch the graph of f by a factor of 5 Vertically stretch the graph of f by a factor of 5 Shift the graph of f 6 units to the right Shift the graph of f 5 units up Vertically compress the graph of f by a factor of 6 Reflect the graph of f about the z axis
Algebra
Sequences & Series
Use the parent function f n log and transformation techniques to graph A z log x 7 Als indicate which transformation s is are applied Determine the domain range and vertical asymptote of Select all transformations that apply DReflect the graph of f about the n axis Horizontally stretch the graph off by a factor of 7 O Horizontally compress the graph of f by a factor of 7 Dvertically compress the graph of f by a factor of 7 Shift the graph of f 7 units down Oshift the graph of f 7 units to the left Vertically stretch the graph of f by a factor of 7 Reflect the graph of about the y axis shift the graph of f 7 units up shift the graph of f 7 units to the right
Algebra
Use the parent function f x log and transformation techniques to graph g z log z 6 8 Also indicate which transformation s is are applied Determine the domain range and vertical asymptote of g Select all transformations that apply Horizontally compress the graph of f by a factor of 6 Reflect the graph of f about the y axis Shift the graph of f 8 units down Vertically compress the graph of f by a factor of 8 Shift the graph of f 8 units up Shift the graph of f 6 units to the left shift the graph of f 6 units to the right Reflect the graph of f about the z axis Horizontally stretch the graph of f by a factor of 6 Vertically stretch the graph of f by a factor of 8
Algebra
Let the polynomial function g be a function of The graph of the polynomial has four zeros a 5 3 0 7 Select all the expressions that could represent g a b C d e 4x x 5 4x 3 x 7 4x x 5 4x 3 x 7 4x x 5 x x 7 4x x 5 3x4 x 7 x x 5 x x 7
Algebra
Complex numbers
4 A sailboat is approaching a cliff The height of the cliff is known to be about 2000 m and the boat is about 3464 m from the cliff Determine the angle of elevation from the sailboat to the top of the cliff CLIFF
Algebra
6 While walking to school you pass a barn with a silo If you are standing at about 40 m from the base of the silo and the silo is 33 5 m tall Using this information and your knowledge of trigonometric ratios calculate the angle of elevation to the top of the silo 33 5 m 40 m
Algebra
Date Name Ceme This do now must be submitted by the end of class for grade and must be done b starting assignment 20 Do Now 1 Martha has 5 dollars Kelvin has 3 less than twice what Martha has Write an expression to represent how much money Kelvin has 2 What is 30 percent of 60
Algebra
Sequences & Series
Julio deposits 1500 in a savings account that pays 2 4 interest per year compounded monthly The amount in the account after n months is given by An 1500 1 0 024 0 024 12 a Find the first six terms of the sequence Round your answers to the nearest cent A A A3 A4 A5 A6 S b Find the amount in the account after 5 years Round your answers to the nearest cent Aso
Algebra
Complex numbers
Module 1 For the function f x 4 3x 1 2 x 5 find the followin y intercept x intercept s leading coefficient degree of the polynomial
Algebra
Complex numbers
e Rudy Meangru Solve for x and check for any extraneous roots log x 6 log x 4
Algebra
Complex numbers
16 x y x y 5 A 51 F X B 380 C 9 D 19 E 22
Algebra
Algebra
Algebra
Complex numbers
P The shortest distance between the curves 2y2 x and 3 2 9x 9y 60y 91 0 is
Algebra
nd a set of parametric equations to represent the graph of the rectangular equation using t x and t 5 x Enter your answers as comma separated lists of equation y x 1 a t x x t ty t b t 5 X t 2 3
Algebra
Sequences & Series
that exists B 147 7 c 8 124 b 14 121 Select the correct choice below and if necessary fill in the answer boxes with in the choice A There is only one possible solution for the triangle The measurements for the remaining angles A and C and side a are as follows A 14 4 C 18 a 6 6 Round to the nearest tenth as needed A B There are two possible solutions for the triangle The measurements for the solution with the longer side a are as follows O C 0 A O Round to the nearest tenth as needed Round to the nearest tenth as needed The measurements for the solution with the shorter O O Round to the nearest tenth as needed C Round to the nearest tenth as needed Round to the nearest tenth as needed C There are no possible solutions for the triangle Round to the nearest thousandth as needed a Round to the nearest thousandth as needed side a are as follows a Round to the nearest thousandth as needed
Algebra
Sequences & Series
KSJ between 12 00 noon and 1 00 pm are the minute and hour hands of a
Algebra
Permutations and Combinations
1 Find the area of the triangle using the formula A bh and then verify that Heron s formula gives the same result 1 bh Use the formula A 2b The area is 48 Use Heron s formula The area is C 10 16 10
Algebra
Complex numbers
Find the area of the triangle ABC a 105 8 m b 74 7 m c 99 8 m What is the area of the triangle m Round to the nearest square meter as needed Question 12
Algebra
Complex numbers
Question 10 7 3 65 Use an appropriate area formula to find the area of the triangle with the given side lengths a 17 m b 9m c 12 m The area of the triangle is m Round your answer to the nearest tenth
Algebra
1 3 x y 3 27y4x 4
Algebra
Complex numbers
K Find the measure of 0 in the triangle Do not use a calculator 0 B A B 0 1 C
Algebra
Complex numbers
Diyagram enine izgilerle kesilen iki paralel izgi a ve b yi g stermektedir x in de eri nedir 490 to 380 a b
Algebra
Matrices & Determinants
11 ABC geni gen DBE ye benzer B l m A X in de erini bulmak i in bir denklem kurun ve z n A 4x 3 7x 30 B E
Algebra
Find the domain of the logarithmmic function y log x Write your answer only as an interval in the space below For infinity write inf Do not 1 4 add any spaces An example of the correctly written answer inf 12 4
Algebra
Complex numbers
Diyagram enine kesilen iki paralel izgiyi g stermektedir 22 3y 10 l s ve 28 7y 30 l s B l m A Bir denklem yaz n ve y nin de erini bulmak i in z n 1 3 re 2 7 5 6 8
Algebra
Complex numbers
Using the graph and table as a reference identify the Domain of the function f x Write your answer in Interval Notation 5 4 3 10 1 2 3 4 f x 1 4 f x 0 11111111111111 0 14285714285714 0 16666666666667 0 2 0 25 0 33333 3333333 Undefined Domain of f x 2 S 32 1 L 44 PL 31 EJ D
Algebra
Complex numbers
2 Solve for x use log where necessary 41 8 a b 22 x 3x
Algebra
Complex numbers
Problem 5 Let W be the subspace of R spanned by the vectors u 1 0 1 0 u2 0 1 1 0 and u3 0 0 1 1 Use the Gram Schmidt process to transform the basis u u2 u3 into an orthonormal basis 4 v 2 0 2 0 v2 V V V 0 v3 3 V3 6 3 6 2 0 2 0 v V6 NE V6 0 V3 13 13 13 V2 3 3 D v 2 0 2 0 v2 V6 V6 6 0 v3 2 0 0 v 6 16 16 0 1 13 13 13 v3 E v V2 B v1 C v 2 0 2 0 v2 V6 V6 N 0 v3 V 3 6 F v 2 0 2 0 v2 V6 v6 6 0 v3 3 6 v3 13 2 0 2 0 v NE VE 0 13 3 V 0 6 6 G v H v 0 2 0 v2 v v 0 v3 6 3 6
Algebra
Complex numbers
Problem 4 Let v 3 1 0 1 v2 0 1 3 1 and b 1 6 1 4 Let W be the subspace or R4 spanned by v and V2 Find projw b Problem 4 Enter your answer symbolically as in these examples Enter the four components separated with commas
Algebra
Matrices & Determinants
Problem 3 Which of the following sets of polynomials form a basis for P2 P1 1 3x 5x P2 5 x ii P 1 x P2 10x x P3 1 11x x iii P 1 P2 1 6x P3 x P4 x Problem 3 A all of them B i only C i and ii only D iii only E none of them F ii and iii G i and iii only H ii only Select
Algebra
Solve for x and check for any extraneous roots a log x 1 2 b log10 x 3 log 0 x 1 10
Algebra
8 Use the properties of logarithms to express the following as sum difference or constant multiple In x x 1 x 1
Algebra
Complex numbers
Prof Rudy Meangru 1 Evaluate the following without a calculator a log1000 b log 10 3 2 FI 2023 Due Monday 11 27 c In e
Algebra
Complex numbers
Find the exact values for the six trigonometric functions of the angle 0 in the figure O For the given triangle which of the following ratios represents the trigonometric function sin 0 BC AB O AC BC AB BC BC AB Find the value of sin 0 sin 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression For the given triangle which of the following ratios represents the trigonometric function cos 0 BC AC 11 5 AB AC B Find the value of cos 8 cos 0 Simplify your answer including any radicals Use integers or fractions for any num 2
Algebra
2 Re arrange the following formulas to solve for the indicated variable SHOW YOUR WORK 5 marks a P D 8PY solve for Y
Algebra
Complex numbers
Problem 6 Let S 1 4x 1 3x2 Which of the following polynomials could be added to the set S to form a basis for P2 Problem 6 1 2 4x 3x 11 5 4x12x 111 8 12x 15x s A none of them B all of them C i only D ii and iii only E ii only F iii only G i and ii only H i and iii only Select
Algebra
Complex numbers
Problem 1 Which of the following sets of vectors are independent 1 1 2 1 3 2 0 2 4 1 11 1 2 1 3 2 0 5 6 0 ii 1 2 1 3 2 0 7 10 2 A none of them B ii only C i only D i and iii only E ii and iii only F iii G all of them H i and ii only
Algebra
Matrices & Determinants
Problem 2 Let p 8x 6x 3 Find the coordinate vector of p relative to the following basis for P2 P1 1 P2 1 x P3 1 x x Problem 2 Enter the coordinates separated with commas
Algebra
Complex numbers
Determine the exponential regression of the data below using either a calculator or spreadsheet program 21 6 19 23 13 33 8 47 5 54 2 62 Select the correct answer below Of x 93 264 1 106 Of x 93 264 1 106 O f x 93 264 1 106 O f x 93 264 1 106
Algebra