Algebra Questions

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Which of the following is true about the solutions for the equation 3x 5x 4 0 O Information about the solutions cannot be determined O There is only one real solution O There are two real solutions O There are two non real complex solutions
Algebra
Quadratic equations
Which of the following is true about the solutions for the equation 3x 5x 4 0 O Information about the solutions cannot be determined O There is only one real solution O There are two real solutions O There are two non real complex solutions
Solve the equation by using the quadratic formula 2x 8 x 1 i 65 2 0 x X 0 x 0 x 1 65 4 1 65 65 4 1 63 4
Algebra
Quadratic equations
Solve the equation by using the quadratic formula 2x 8 x 1 i 65 2 0 x X 0 x 0 x 1 65 4 1 65 65 4 1 63 4
Compared to the quadratic parent function the graph of g x and translated from the parent function 1 2x 6 is
Algebra
Quadratic equations
Compared to the quadratic parent function the graph of g x and translated from the parent function 1 2x 6 is
The height h t in feet of the ball above the ground t seconds after being thrown can be modeled by the function h t 16t 40t 5 What is the meaning of the number 5 the function h t The ball takes five seconds to reach the ground The ball reaches a maximum height of five feet O The ball takes five seconds to reach its maximum height O The ball was thrown from an initial height of five feet d Fab 2 9 29 US
Algebra
Sequences & Series
The height h t in feet of the ball above the ground t seconds after being thrown can be modeled by the function h t 16t 40t 5 What is the meaning of the number 5 the function h t The ball takes five seconds to reach the ground The ball reaches a maximum height of five feet O The ball takes five seconds to reach its maximum height O The ball was thrown from an initial height of five feet d Fab 2 9 29 US
When asked to write f x 2x 16x 7 in vertex form Carlos showed his work by writing the following Step 1 f x 2 x 8x 7 Step 2 f x 2 x 8x 16 7 16 Step 3 f x 2 x 4 9 Is Carlos correct in his reasoning Explain your reasoning B I US X X
Algebra
Quadratic equations
When asked to write f x 2x 16x 7 in vertex form Carlos showed his work by writing the following Step 1 f x 2 x 8x 7 Step 2 f x 2 x 8x 16 7 16 Step 3 f x 2 x 4 9 Is Carlos correct in his reasoning Explain your reasoning B I US X X
Question 1 10 Determine the discriminant of the function g x 2x 10x 5 O 10 60 100 O 140
Algebra
Quadratic equations
Question 1 10 Determine the discriminant of the function g x 2x 10x 5 O 10 60 100 O 140
Identify the quadratic equation that has solutions of 3 O y 3x 10x 8 y 2x 5x 12 Oy 3x 10x 8 y 2x 5x 12 and 4
Algebra
Quadratic equations
Identify the quadratic equation that has solutions of 3 O y 3x 10x 8 y 2x 5x 12 Oy 3x 10x 8 y 2x 5x 12 and 4
6 IG 3 Slape Find the slope of the line through e
Algebra
Complex numbers
6 IG 3 Slape Find the slope of the line through e
11 12 x x 1 What is the extraneous solution to this problem Type a response
Algebra
Quadratic equations
11 12 x x 1 What is the extraneous solution to this problem Type a response
A quadratic equation is equal to 0 the constant is 24 the quadratic term s coefficient is 1 the linear term s coefficient is 2 What is are the solutions to the problem PICK TWO 6 2 1 4
Algebra
Quadratic equations
A quadratic equation is equal to 0 the constant is 24 the quadratic term s coefficient is 1 the linear term s coefficient is 2 What is are the solutions to the problem PICK TWO 6 2 1 4
3 x 6 2x 5 When you solve this problem what is the value of each side of the equation ROUND YOUR ANSWER IF NEEDED O O O 4 13 11 17
Algebra
Quadratic equations
3 x 6 2x 5 When you solve this problem what is the value of each side of the equation ROUND YOUR ANSWER IF NEEDED O O O 4 13 11 17
10 3x 7 x 3 3 2 4 3 1 4 C
Algebra
Quadratic equations
10 3x 7 x 3 3 2 4 3 1 4 C
5x2 x 8 When you square both sides what is the resulting equation in the next step before you solve for x O O O O 4x 28 5x2 x 8 5x 2 x 8 5x 2 x 8
Algebra
Quadratic equations
5x2 x 8 When you square both sides what is the resulting equation in the next step before you solve for x O O O O 4x 28 5x2 x 8 5x 2 x 8 5x 2 x 8
Two numbers multiply together to equal 72 but add together 18 What are the two numbers Select Select Select Select and
Algebra
Quadratic equations
Two numbers multiply together to equal 72 but add together 18 What are the two numbers Select Select Select Select and
2x 2 10 When you square both sides what is the resulting equation in the next step before you solve for x O O O O 2x 2 10 2x 2 100 2x 2 100 2x 2 10
Algebra
Quadratic equations
2x 2 10 When you square both sides what is the resulting equation in the next step before you solve for x O O O O 2x 2 10 2x 2 100 2x 2 100 2x 2 10
Solve the following for x a 3x 11 2 b x5 2 2x 1 c 3x 1 2 x 3 2 marks 2 marks 2 marks
Algebra
Quadratic equations
Solve the following for x a 3x 11 2 b x5 2 2x 1 c 3x 1 2 x 3 2 marks 2 marks 2 marks
Find the quotient and remainder for x 4x 4x 10 x 3 5 marks
Algebra
Quadratic equations
Find the quotient and remainder for x 4x 4x 10 x 3 5 marks
A school had a fund raising event The revenue came from three resources ticket sales auction sales and donations Ticket sales account for of the total revenue auction sales account for of the total revenue What fraction of the revenue came from donations of the revenue came from donations
Algebra
Quadratic equations
A school had a fund raising event The revenue came from three resources ticket sales auction sales and donations Ticket sales account for of the total revenue auction sales account for of the total revenue What fraction of the revenue came from donations of the revenue came from donations
Sketch the graph of each line 19 y x 4 43 75 10
Algebra
Complex numbers
Sketch the graph of each line 19 y x 4 43 75 10
Algebra X Slope intercept Form Find the slope of each line 1 3 SOR 2
Algebra
Quadratic equations
Algebra X Slope intercept Form Find the slope of each line 1 3 SOR 2
Sketch the graph of each line 19 y x 4 21 y 4x 5 5 310 5 4 3 2 10 3 20 y 5x 1 2 10 22 y x 5 2 4 3 2 10
Algebra
Quadratic equations
Sketch the graph of each line 19 y x 4 21 y 4x 5 5 310 5 4 3 2 10 3 20 y 5x 1 2 10 22 y x 5 2 4 3 2 10
5 3 3 you fe 4 Algebra 13DC5 3 and 3 Name Slope intercept Form Worksheet Find the slope of each line 1 0 1 x 4 0 X 0 Y Y Y 3 1 XX 3 1 573 5 3 SOR 2 X X X2 X 3 33 4 4 3 2 1 3 3 0 ZI Elore 1 C1F 13 2 6 Name Eliya Love Date M 4 38 Us tercept form 3 1 2 Find the slon ato 2 1 2029 1 Period th X 1 1 x 3 X 1 X 3 X X 4 STOP 1 3 3 1 25 2 3 4 3 S
Algebra
Quadratic equations
5 3 3 you fe 4 Algebra 13DC5 3 and 3 Name Slope intercept Form Worksheet Find the slope of each line 1 0 1 x 4 0 X 0 Y Y Y 3 1 XX 3 1 573 5 3 SOR 2 X X X2 X 3 33 4 4 3 2 1 3 3 0 ZI Elore 1 C1F 13 2 6 Name Eliya Love Date M 4 38 Us tercept form 3 1 2 Find the slon ato 2 1 2029 1 Period th X 1 1 x 3 X 1 X 3 X X 4 STOP 1 3 3 1 25 2 3 4 3 S
Find an expression for a cubic function f if f 4 160 and f 4 f 0 f 5 0 Step 1 A cubic function generally has the form f x ax bx2 cx d If we know that for some x value x p we have f p 0 then it must be true that x p is a factor of f x Since we are told that f 5 0 we know that x 5 is a factor Step 2 Similarly since f 4 0 then f x has the factor x 4 I to obtain a Step 3 Since f x has the factors x x 5 and x 4 then we must have f x a x x 5 x 4 for some as yet unknown multiplier a However since it was given that f 4 160 we substitute 4 for x and 160 for f x and solve f 4 160 a 4 4 5 4 4 f x 5 Step 4 Using all the information we found we can now write the full expression x 4 and since f 0 0 then f x has the factor
Algebra
Quadratic equations
Find an expression for a cubic function f if f 4 160 and f 4 f 0 f 5 0 Step 1 A cubic function generally has the form f x ax bx2 cx d If we know that for some x value x p we have f p 0 then it must be true that x p is a factor of f x Since we are told that f 5 0 we know that x 5 is a factor Step 2 Similarly since f 4 0 then f x has the factor x 4 I to obtain a Step 3 Since f x has the factors x x 5 and x 4 then we must have f x a x x 5 x 4 for some as yet unknown multiplier a However since it was given that f 4 160 we substitute 4 for x and 160 for f x and solve f 4 160 a 4 4 5 4 4 f x 5 Step 4 Using all the information we found we can now write the full expression x 4 and since f 0 0 then f x has the factor
Solve 2 34 32 6 2y 22 0 2 3
Algebra
Quadratic equations
Solve 2 34 32 6 2y 22 0 2 3
Given the following functions find each f x x 3x 4 g x x 4 f g x f g x f g x
Algebra
Quadratic equations
Given the following functions find each f x x 3x 4 g x x 4 f g x f g x f g x
Question Consider the region bounded by the graphs of y x y 17 and x 6 in the first quadrant What is the volume of solid obtained by rotating this region about the line x 2 Select the correct answer below 17 2 O af Ty 6 16 dy JU 17 Ty 4 36 dy 17 OT Ty 2 16 dy LF 01 26 14
Algebra
Quadratic equations
Question Consider the region bounded by the graphs of y x y 17 and x 6 in the first quadrant What is the volume of solid obtained by rotating this region about the line x 2 Select the correct answer below 17 2 O af Ty 6 16 dy JU 17 Ty 4 36 dy 17 OT Ty 2 16 dy LF 01 26 14
Find the magnitude of the vector given below Also find the measure in degrees of the acute angle formed by the vector and x axis Do not round any intermediate computations and round your responses to 2 decimal places y 0 a magnitude of the vector b 0 X
Algebra
Quadratic equations
Find the magnitude of the vector given below Also find the measure in degrees of the acute angle formed by the vector and x axis Do not round any intermediate computations and round your responses to 2 decimal places y 0 a magnitude of the vector b 0 X
The graph of y f x is given Graph the function y x 2 3
Algebra
Quadratic equations
The graph of y f x is given Graph the function y x 2 3
2 a Graph the piece wise function For full credit add arrows to the ends that keep going Use a straight edge for x 3 for x 3 f x 2 3 1 a Evaluate f 2 b Evaluate 6 c Evaluate f 10 10 5 104 5 0 5 10 5
Algebra
Complex numbers
2 a Graph the piece wise function For full credit add arrows to the ends that keep going Use a straight edge for x 3 for x 3 f x 2 3 1 a Evaluate f 2 b Evaluate 6 c Evaluate f 10 10 5 104 5 0 5 10 5
Convert the measurement 13 mm cm
Algebra
Quadratic equations
Convert the measurement 13 mm cm
5 3 Intercept Form Worksheet 1 Y2 1 3 1 X X S Find the slope of each line 1 SIOR 2 3 1 5 3 573 2 4 Date 2 1 2024 Mr 33 1 3 1 2 y 1 1 x 3 X 12X 3 18th Period yuxur int Slope Farm Equation of Linely y SIOPE 1 X Yo 3 2 0 3 2 4 X Y X Y 313 32 x 0
Algebra
Complex numbers
5 3 Intercept Form Worksheet 1 Y2 1 3 1 X X S Find the slope of each line 1 SIOR 2 3 1 5 3 573 2 4 Date 2 1 2024 Mr 33 1 3 1 2 y 1 1 x 3 X 12X 3 18th Period yuxur int Slope Farm Equation of Linely y SIOPE 1 X Yo 3 2 0 3 2 4 X Y X Y 313 32 x 0
Apollo Spas services 266 hot tubs If each hot tub needs 135 mL of muriatic acid how many liters of acid are needed for all of the hot tubs
Algebra
Sequences & Series
Apollo Spas services 266 hot tubs If each hot tub needs 135 mL of muriatic acid how many liters of acid are needed for all of the hot tubs
8 Write an equivalent expression over the given domain x 6 for all x except 3 and 5 x 5
Algebra
Quadratic equations
8 Write an equivalent expression over the given domain x 6 for all x except 3 and 5 x 5
17 through 2 4 and 1 3
Algebra
Quadratic equations
17 through 2 4 and 1 3
2 a 4 a 7 7 a a 4
Algebra
Quadratic equations
2 a 4 a 7 7 a a 4
CON Vo MH
Algebra
Sequences & Series
CON Vo MH
5 x 25 x 8x 15
Algebra
Quadratic equations
5 x 25 x 8x 15
Find the slope of each line 1
Algebra
Matrices & Determinants
Find the slope of each line 1
y 7y 12 y 3y
Algebra
Quadratic equations
y 7y 12 y 3y
16 through 0 4 and 1 4
Algebra
Complex numbers
16 through 0 4 and 1 4
3 2x 4x 2x
Algebra
Complex numbers
3 2x 4x 2x
15 through 4 4 and 0 3 17 through 2 4 and 1 3 16 through 0 4 and 1 4 18 through 0 4 and 0 1
Algebra
Permutations and Combinations
15 through 4 4 and 0 3 17 through 2 4 and 1 3 16 through 0 4 and 1 4 18 through 0 4 and 0 1
Consider the function f x 5 16 2x c What is f 2a d What is the domain of this function
Algebra
Complex numbers
Consider the function f x 5 16 2x c What is f 2a d What is the domain of this function
Question 8 of 10 These notes are all on the O lines 10
Algebra
Sequences & Series
Question 8 of 10 These notes are all on the O lines 10
2 3 4 5 6 7 8 9 10 12 8x 1 x 2 3 4 3 11 12
Algebra
Sequences & Series
2 3 4 5 6 7 8 9 10 12 8x 1 x 2 3 4 3 11 12
3 4 5 6 7 8 9 12 8x 1 x 2 3 4 3 1 10
Algebra
Quadratic equations
3 4 5 6 7 8 9 12 8x 1 x 2 3 4 3 1 10
Classwork Homework Name 1 Slope Intercept Form y mx b Determine the slope and y intercept for each graph Write the equa 2 slope slope y intercept y intercept Qyinkansola Alavan equation 6 54 3 2 1 slope C 1 Linear Functions review all t Wi 1 2 equation 6 5 151 1 5 y 2x y 4 3 2 1 slope 1 2 3 4 5 6 1 2 Write each equation in slope intercept form identify the s Clearly mark at least three points on each line Show your 4 y 6 5 x y 4 3
Algebra
Quadratic equations
Classwork Homework Name 1 Slope Intercept Form y mx b Determine the slope and y intercept for each graph Write the equa 2 slope slope y intercept y intercept Qyinkansola Alavan equation 6 54 3 2 1 slope C 1 Linear Functions review all t Wi 1 2 equation 6 5 151 1 5 y 2x y 4 3 2 1 slope 1 2 3 4 5 6 1 2 Write each equation in slope intercept form identify the s Clearly mark at least three points on each line Show your 4 y 6 5 x y 4 3
x 2 x 2 8 When you square both sides what is the resulting equation in the next step before you solve for x 8 4 x 8 2 x 2 8 10 11 x 2 64 12 13
Algebra
Sequences & Series
x 2 x 2 8 When you square both sides what is the resulting equation in the next step before you solve for x 8 4 x 8 2 x 2 8 10 11 x 2 64 12 13