Algebra Questions

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

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

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

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

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

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

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 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

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

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

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

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

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

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

17 through 2 4 and 1 3

2 a 4 a 7 7 a a 4

CON Vo MH

5 x 25 x 8x 15

Find the slope of each line 1

JE

y 7y 12 y 3y

16 through 0 4 and 1 4

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

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

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

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

O 32 t 11 x x 6 X Type a response

13 2x x 4 What is the extraneous solution to this problem Type a response

3 10 4 5 6 7 3 61 x 5 2x 8 When you solve this problem what is the value of each side of the equation ROUND YOUR ANSWER IF NEEDED 4 24 13 8 9 4 10 11 12 13

x 5 2x 8 When you square both sides what is the resulting equation in the next step before you solve for x x 52x 8 x 5 x 5 4x 64 X 5 2x 8 2x 8

m 4 12 8x 1 x 2 3 4 3 1 K 8 9 10