Algebra Questions

Date Name Find the solutions for each quadratic equation AND state the factoring method s 2x 7x 0 1 5x 10x 0 3 x 64 0 Method Method 2 12x 3x 0 Method Method

11 8x 10X 3 0 13 4x 12x 9 0 Method Method 12 2x 14x 36 14 3 1200 0 Method

3 x 3x 4 Method 10 3x 11x 4

10 2x 9 58 115 3x 5 9 X zolgnA vist 12 qmo be algna dous Tomad 05 X 351 001 X 30 081 201 PF 11 A x 16 63 1010

R 3 It RT 36 find the value of x r 1 19 Use the diagram below to answer questions 1 and 2 V S M 5 If UW 6x 35 find UW 4x 20 x 7 T This is a 2 page document W N 1 If LM 22 and MN 15 find LN 2 If LN 54 and LM 31 find MN 4 If DF 9x 39 find EF 3x 10 D 47 E F 6 If HJ 7x 27 find the value of s 3r 5

8 7 11 BD 7x 10 BC 4x 29 and CD 5x 9 find each value B D RD BC BD 5x 26 BC 2x 1 and AC 43 find AB D BC CD

Crafters Corporation manufactures two different miniature models of furniture a table and a chair The company has 500 feet of lumber 700 machine hours and 600 direct labor hours available for production The miniature tables and chairs provide 6 and 4 of contribution margin respectively The time and lumber requirements to build a miniature table or chair are as follows Feet of lumber per unit Machine hours per unit Direct labor hours per unit Table T 5 3 2 Chair C 2 2 4 Required 1 Express Crafters constrained optimization problem as a linear programming model 2 Using the graphing approach three comers are identifi 1 6 pts

3 D 3 v 6X5v 6 4 24 84 10 13 4k A 2 k 5 B r 6 5v 6 C D 3k 13 A 2 k 5 34 124 15k 2 R 1 5 6k 24 29k 4 2 k 1Xk 5 4 D 4 5m 1 30m 60m 30m A B 9 21m 1 5 3 2m 10 D 45 3m 16m m 20m 3m 4 25m 1 20 40mm 30mm 1 12m 4m 5 5 3m 1 44 3m 16m m 20m 3X 4

7 x 5 5x x 4 x 2 A B C D 5x 17x 6 x 4 x 2 6x 2 x 2 6x 21x 6 x 4 x 2 6x 23x 10 x 4 x 2 8 8 5p A B C D P 4 18p 114p 120p 5p 3 4p 90p 570p 600p p 4 6p p 5 3p 4 2 4p 2p 5 10p p 3 p 2

5 3 6 a 5 a 2 28 a a 6 a 5 7a 36 a A B C D a 5 a 2 28 5a a 6 a 5 9a 36 a 5 a 2 K 6 6 4 5 2b 6 b 1 A B C D 216 25 26 2 b 3 b 1 10 b 3 b 1 15b 25 2 b 3 b 1 7b 13 b 3 b 1

Simplify each expression 3v S 6v S 36v 36 6 1 A B C D Su 36v 39v 4 v 6 5v 6 S 36v 40v 3 v 6 5v 6 S 36v 39v 5 v 6 5v 6 4p 4v v 6 5v 6 12 2 2 5 m 5 A B C 5 2m 2 25 2m 8m 5 m 5 D 12m 12 5 m 5 15m 15 2 m 1 m 5 3 2m m 10

270 4 a Fill in the table with the exact values and their approximations where necessary 4 44 T 5 K 44 42 2 und S A TE 2n 7n 4 4 51 4 3 n 4 X IT 2 sin x CSC X sinx b Sketch y csc x for 2 Pi x 2 I 4 0 10 0 und 5 0 wam 4 AT 4 21 I 4 2 3 4 K it 0 5 4 3 2 T 7x 4 42 1 2 2 T 7 2 4 und

8 Graph y sin2x 3 15 1 0 1 3 2 X sinx Sin2x 4 04 it 2 3 f R TC 5m 34 5x 4 7 8 2 3r 2 7 4 21

a Fill in the table with the exact values and their approximations where necessary X 0 5 COS X 0 b Sketch y cos x for 0 x 2 0 5 LA 3r jer T 3 r 5 m 4 4 7x 5R 2 T 3R 7r 2f

2 7T 14 5 2 A a Fill in the table with the exact values and their approximations where necessary T 7 T 4 57 5 T TC 4 b Sketch y sec x for 27 x 2 3 4 X COS X sec x 1 COSX TU 2 10 JU 4 0 1 0 I 4 0 TL 2 4 T 3 R 4 TO 34 5 m 4 44 3 r 2 2 7 J 20

9 2 1 0 1 Graph y 2sin x 4 2 3 t 3 T ST 3x 2 21 9 f 5 n 2 11 n

6 a Fill in the table with the exact values and their approximations where necessary 27 44 2n 7n 4 ST TO C HT SR n 3 n 4 4 X J 2 sinx COSX tan x b Sketch y cot x for 27 x 2 T B sin COS X Ita 4 10 0 0 0 1 0 4 42 42 I wer 4 4 2 1 lo 0 und 7 2 34 22 SHE 3 r 4 TC I 0 ol 42 S 3 4 2 und 4 42 1 7 2 4 27 0

3 If ax y and y 28 when x 2 what is the value of y when x 3 given that a is a constant 4 If y ax 5 a is a constant and y 15 when x 2 what is the value of x when y 40

Find UV 43 22 W Write your answer as an integer or as a decimal rounded to the nearest tenth UV Submit

Practice 1 If y 12x 10 what is the value of y when x is equal to 4

triangle VX W 3 V Write your answers as integers or as decimals rounded to the nearest tenth

5 Given the equation 3x 4y 8x 2y what is the value of y when x 6 6 If three more than twice x is equal to 5 less than the product of four and y what is the value of x if y is equal to 10

Graph the image of square ABCD after a dilation with a scale factor of 3 centered at the origin 10 8 6 D 4 104 8 6 4 12 63

D C 2 E Write your answer as an integer or as a decimal rounded to the nearest m C

Extension 1 If y ax 4 and y 20 when x 8 what is the value of x when y 14 given that a is a constant 21fy ky and v 12 when y 4 what is the value of y when x 5 given that is a constant

7 If 2 3x 5 2y 4y 3z 10 what is the value of y if x 5 and z 2

3 If 2 x 10 what is the value of 3x 5

Try It Again Problem If y 3 4x 6 3z what is the value of x if y 30 and z 4

Grapple If y 3x 2z 8 and y 12 and x 2 what is the value of 3z 5

Exit Ticket 12 5 1 13x4 2y 11 what is the value of x if y 3 A 3 B 3 C 4 D 7 2 If 2x 4 10 3x what is the value of x a 1 2 b 1 2 c 2 8 d 6 3 If 2 2x 4 x 7 12 what is the value of x a 9 b 1 c 1 d 13 3 4 If 2 3x 6y 5x 10y 6 what is the value of 3x 5 if y 4 A 14 B 37 C 94 D 277

Do Now 12 5 1 How are you today Is there anything you want your teacher to know 2 If 4 x 8 what is the value of x 2 3 if 3x 5 4x 6 what is the value of 3x 2 4 If Glenn is ffeet and 3 inches tall what is the value of fif Glenn is 51 inches tall 5 A pound of cement costs 75 If a construction company has a bill of 5 250 for cement

5 3 6 a 5 a 2 A B 7 C D A B C D 28 a a 6 a 5 7a 36 a x 5 5x x 4 x 2 a 5 a 2 28 5a a 6 a 5 9a 36 a 5 a 2 5x 17x 6 x 4 x 2 6x 2 x 2 6x 21x 6 x 4 x 2 6x 23x 10 x 4 x 2 6 8 6 4 5 2b 6 b 1 A B C D 8 5p A B C D 216 25 26 2 b 3 b 1 10 b 3 b 1 15b25 2 b 3 b 1 7b 13 b 3 b 1 P 4 18p 114p 120p 5p 3 4p 90p 570p 600p p 4 6p p 5 3p 4 2 4p 2p 5 10p p 3 p 2

Simplify each expression 3v 5 5v 36v 36 1 A B C D 3 A B 4 2k 8k 10 C 6v 6 5v 36v 39v 4 v 6 5v 6 5v 36v 40v 3 v 6 5v 6 D 5v 36v 39v 5 v 6 5v 6 4v 4v v 6 5v 6 13 4k k 2 k 5 13 k 3k 2 k 5 3k 12k 15k 2 k 1 k 5 6k 24k 29k 4 2 k 1 k 5 2 4 2 5 5 m 5 2m 2 A B C D 4 A B C 25 2m 8m 5 m 5 5m 1 2m 30m 60m 30m 3m 45 3m 16m m 3 D 12m 12 5 m 5 15m 15 2 m 1 m 5 3 2m m 10 2 m 3 m 4 25m 1 20m 40m 30m m 1 12m 4m 5 5 3m 1 44 3m 16m m 2 m 3 m 4

3 Graph 2 y x 2on the coordinate system What will happen when we change the to

Include a title and a short explanation of your data DO NOW 19 On the grid below solve the system of inequalities equations graphically for x and y 3x y 2 3 x 2y 4

Do the following for the points 5 2 3 1 1 1 3 1 If you are entering decimal approximations enter at least five decimal places a Find the equation for the best fitting parabola y ax bx c for these points y 7 176 x 2 7x 220 673 880 b Find the equation for the best fitting parabola with no constant term y ax bx for these points y c Find the equation for the best fitting parabola with no linear term y ax c for these points y

3 Determine the surface area of his can 7 inches height 10 inches Show your work here SA 2 TT r 2 rh

1 Determine the surface area of his food container radius 20 cm height 25 cm Show your work here SA 2 TT r 2 rh SA 2x 3 14 2x 3 14x20x

5 Determine the minimum amount of aluminum needed to make this can Deca radius 2 in height 5 inches Show your work here SA 2 TT r 2 rh 2 3 14 4 2 3 14 2 5 25 13

6 Determine the surface area of the cylinder 6 m r 3 height 12 m Show your work here SA 2 TT r 2 rh

h eight radius A r A lw A 2 rh A r Circle examples of surface area below The amount of wrapping paper for a gift The amount of carpet for a room The amount of cereal in a box The amount of water in a fishtank The amount of paint on a wall

Problem 3 20 points In AABC let a 4 in b 5 in and angle C 101 32 13 the remaining side and angles of the triangle Round all answers to the neares

Area of Cylinders 4 Determine the surface area of the pot diameter 8 in 4 r 4 height 12 in Show your work here SA 2 TT r 2 rh SA 2 4 2 4 12 2 3 14116 2 3 14 48 6 28 16 2 3 14 48 100 48 2 3 14 48

Find the following power Write the answer in rectangular form 3 2 3 21 4 CIDE O Points 0 of 1 3 2 3 21 4 1296 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Type your answer in the form a bi

Given that z 5 cos 60 i sin 60 then the following is true 125 cos 180 isin 180 125 1 i 0 11 125 Oi or simply 125

1 point The domain of the function g x log x 64 is and 1 o

Find an equation of the circle whose diameter has endpoints 3 4 and 3 4 8 0 0

Fill in the blank with an appropriate word phrase or symbol s The set of rational numbers is the set of numbers of the form The set of rational numbers is the set of numbers of the form P10 P10 where p and q are where p and q are and q 0 and q 0 whole numbers integers positive integers negative integers

Find the midpoint M of the line segment joining the points A 4 1 and B 8 5 B M 0 pla

Write the expression as a single logarithm 3 log3x 3 log3z 3 log3y log 7 3