Algebra Questions

Solve the linear equation Be sure to check your solution m 43 25

Solve the equation and check the solution s 49 25

Solve the linear equation Be sure to check your solution 1 4 52 8

5 ut 15 52115o m an expression to represent the area of the shaded region 11 Write and simplify x 1 y x 2 2 1 x 2x 1 2 2 2 xey 2 2 9 2 x 1 x y x y x 2

olve the equation using the Multiplication Property of Equality 118 11 1 2

Solve the equation using the addition property of equality Be sure to check your solution 4 3 X 5 3 11

Determine whether the given value is a solution to the equation 3 12k 1 8 k Select the correct choice below and fill in the answer box es to complete your choice OA OB 3 Yes k is a solution because both sides of the equation equal 4 No k 3 is not a solution because the left side of the equation equals 4 and the right side of the

Write the equation for the graph provided below O y x 2 1 O y x 2 1 O y x 1 2 O y x 1 2 31

Suppose the average yearly salary of someone whose terminal degree is a master s is 57 thousand less than twice that of someone whose terminal degree is a bachelor s Combined two people with these terminal degrees earn 150 thousand on average Find the average yearly salary of an individual with each of these terminal degrees The average yearly salary of a person whose terminal degree is a bachelor s is the average yearly salary of a person whose terminal degree is a master s is thousand and thousand

Solve the linear equation using the Addition Property of Equality 5 x 12 The solution sot is Simplify your answer

Determine if the given number is a solution of the equation 8b 2 7b 2b 7 b 5 Choose the correct answer below O No Ves

Solve the linear equation using the Multiplication Property of Equality 6 42 7 The solution pot in Typo on integer or a simplified fraction

Solve the equation using the multiplication property of equality 10 Z VIN The solution set is

olve the linear Equation x 7 15 Step by Step Solution Because the coefficient of the variable x in this equation is 1 it is only necessary to get x by itself Step 1 Isolate the variable x on the left side of the equation To isolate the variable x on the left side of the equation x 7 15 7 should be equation each sid

Solve the equation using the addition property of equality 6 7 8 9

Prop Part 1 of 5 e the linear Equation 3c 18 O Points 0 of 1 points p by Step Solution p 1 Get the coefficient of the variable c to be 1 To get the coefficient of the variable c to be 1 in the equation 3c 18 each side of the equation should be r by 0 Tyne an integer or a simplified fraction

Solve the linear equation using the Addition Property 3 17 x

Fill in the blank A value of the variable that makes the equation a true statement is called a n A value of the variable that makes the equation a true statement is called a n of the equation of the equ solution expression

olve the equation using the addition property of equality Be sure to check your proposed solution 7 z 15

Create a direction field of following differential equation y 9 8 0 05x y 9 8 0 1y y 0 1t 0 3y

Which matrices are in row echelon form 1 0 11 i 0 1 3 Lo 0 11 iv 131 All 010 0100 N i iv and vi O iv v and vi O U v and vi ii 00 OHOO 0000 0100 0010 NOTO NDIO 10 1 HF vi 10 0010 00000310 21002 251 0 0 0 0 11

3 Were you ever taught this nice trick to decide whether a number is divisible by nine A Prove 10 1 mod 9 B Prove that every positive number is congruent to the sum of its digits modulo nine E g 327 3 2 7 12 mod 9

7 Let k be a fixed real number Show that the mapping T R R given by T x1 x2 xn k 1 2 n is a linear transformation 3M

Two cellphone companies are offering different rate plans Rogers is offering 19 99 per month which includes a maximum of 200 weekday minutes plus 0 35 for every minute above the maximum TELUS is offering 39 99 for a maximum 300 weekday minutes but it charges 0 10 for every minute above the maximum Above how many minutes would TELUS be the better choice

5 0 5 Find the rule of the red portion of the function y Find the rule of the green portion of the function 5 Find the restricted domain of the red portion of the function Use interval notation powered by desmos Find the restricted domain of the green portion of the function Use interval notation

6 5 TE b Give the domain of f x Use interval notation 5 a Enter an equation of f x as a transformation of the absolute value function y x c Give the range of f x Use interval notation 4 8

Use transformations to graph the function below by dragging the two points to appropriate locations 5 f x x 2 3 5 5 1 1 0 0 5

1 Define H Z f continuous Find Hint H H 7 a a h t dt where his complex valued and t z formula for H 2 Optional H Z So a h t at 7 a d

Amazon Revenue The annual revenue of Amazon is given in the table below source 5 Amazon Annual Revenue Billions of US dollars Year 2020 386 064 2019 280 522 2018 232 887 2017 177 866 2016 135 987 2015 107 006 2014 88 988 2013 74 452 2012 61 093 2011 48 077 2010 34 204 See the Regression page in the Chapter 1 Linear Equations and Graphs module for details on creating a regression model Apply linear regression to the data in the table to find a model y mz b where y is Amazon s annual revenue in billions of US dollars and is the number of years since 2010 Use the model y mx b with m rounded to the nearest tenth and b rounded to the nearest hundredth to answer the questions 1 3 below

olve the inequality and graph the solution set on a number line 2x 4 3x7

24 2 Draw the vector and the angle Is the x component positive or negative units Ay 13 998 x Draw the vector and the angle Is the y component positive or negative Using the sine of the angle measured counterclockwise from x will give the correct s Need Help Read It Submit Answer 0 20 Points A vector A DETAILS Juhts in a direction 330 counterclockwise from the positive x axis What are the x and y components of A has components PREVIOUS ANSWERS SERCP11 1 10 P 061 MY NOTES ASK YOUR TEACHER PRACT

Use the finite difference formulae from page 126 of the notes print version to find approximate values of the derivatives f in the following table Use the centred difference approximation wherever possible Enter your answers to two decimal place accuracy tj fj f Number 0 1 0 3 0 22 Number 0 6 0 11 Number 0 9 0 09 Number

The probability a 25 year old male passes away within the year is 001430 He pays 275 for a one year 160000 life insurance policy What is the expected value of the policy for the insurance company Roune your answer to the nearest cent

A table for g z is shown below X g x 3 1 X h x 2 0 1 0 2 3 Based on the table g x Of x 1 f x 1 f z 1 f x 1 A table for h x is shown below 2 1 0 0 1 Based on the table h x f x 1 f x 1 f x 1 f x 1 1 4 1 1 22 2

The markup over dealer s cost of a new car ranges from 15 to 23 If the sticker price is 23 000 over what range will the dealer s cost vary The dealer s cost ranged from to inclusive Pound to the poorect conta pooded www

For the given inequality write the inequality obtained in each case described 2x 10 3 a Write the inequality obtained by adding 3 to each side of 2x 10 3 2x 13 6 b Write the inequality obtained by subtracting 5 from each side of 2x 10 3 2x 5 2 c Write the inequality obtained by multiplying each side of 2x 10 3 by 3 6x 21

Fill in the blank with the correct inequality symbol If x 3 then x 3 0 If x 3 then x 30

The following information about functions f g and h is provided Calculate the indicated value f 1 7 f 2 6 f 3 2 g 1 4 g 2 2 g 3 5 h 1 9 h 3 5 Give an exact answer Use symbolic notation and fractions where needed f g 1 g 4 7 h 4 2 8 5 6

Given 0 a b which of the following is not the result of a reciprocal property Choose the correct answer below A 0 1 1 OB 0 a 116 1 b 1 c 0 1 1 1 0 b a

2 3 i 2a 6 57 10 Let a 5 VAA it 4a ab 27 vite m 3 2 2 0 3 ER a E R Compute

Simplify the expression 4 3u 2

Simplify 100 x if x 10 sin 0 100 Type an exact answer in simplified form

Solving which equation is likely to require squaring each side more than once Choose the correct answer below OA x 2 3x 5 OB 3x 1 5 OC 3x 10 4 2 OD x 1 x 4 8

1 point If the linear system has infinitely many solutions then k and h 7x 7y 4z 3 3x 7y 6x 4 13a 7y hz k

5 Si cot 2 a y cos B B entonces halla el valor exacto de sen a 12 O 33 65 O 33 63 35 65 33 45

if triangles ABC and XYZ are similar what is the length of side X A 45 b B 24 17 are similar what is the length of side x X 15 17 Y X Z

Factor 45x 20y Next

Solve the given formula for the indicated variable Electricity RR for R 1 1 1 R

3 A table of selected values is given for a function f f x a 5 2 0 7 2 7 a Find f 2

2 Travis s income is 4800 a month and he plans to budget 1 of his income for groceries and of his income for water 5 Step 1 of 2 What fraction of his income does he plan to spend each month on these two items together Express your answer in lowest terms