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Texas Hold-em Algebra- Chapter 4 Review

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Page 1: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Texas Hold-em

Algebra- Chapter 4 Review

Page 2: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

How to play

Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

from. An algebra problem will be presented to the class. Once

you and your partner think you have the right answer, bring it (paper ONLY) to Mrs. T to check. If the answer is correct, you may choose a card to add to your hand. If your answer is incorrect, return to your group and try again.

Repeat for Rounds 2 and 3. Round 4 will be played so that the groups can “trade-in” a card to try to better their hand.

Winner is determined by the best poker hand at the end of 4 rounds.

Page 3: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Round 1…

Pencils and Paper ready!!!

Page 4: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 1A

What is the slope of the line y = -10x – 8?

Page 5: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 1A

What is the slope of the line y = -10x – 8?

The slope is -10.

Page 6: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 1B

Write the equation of the line shown.

Page 7: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 1B

Write the equation of the line shown.

y = -x + 2

Page 8: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 1C

True or false.

The equation of the line shown is

x = 2?

Page 9: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 1C

True or false.The equation of the

line shown is

x = 2?

False.

The equation is

y = 2.

Page 10: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 1D

What is the equation of a line with a slope of and a

y-intercept of -11?

1

2

Page 11: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 1D

What is the equation of a line with a slope of and a

y-intercept of -11?

y = x - 11

1

2

1

2

Page 12: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Round 2…

Pencils and Paper ready!!!

Page 13: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 2A

A rental company charges $8 per hour for a mountain bike plus a $5 fee for a helmet. Approximate how many hours you rode if you paid $30.

Write a linear equation in slope-intercept form to model the situation.

Page 14: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 2A

A rental company charges $8 per hour for a mountain bike plus a $5 fee for a helmet. Approximate how many hours you rode if you paid $30.

Write a linear equation in slope-intercept form to model the situation.

30 = 8x + 5

Page 15: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 2B

What is the equation of the line that passes through the point (3,1) and has a slope of 2?

Page 16: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 2B

What is the equation of the line that passes through the point (3,1) and has a slope of 2?

y = mx + b

1 = 2(3) + b

1 = 6 + b y = 2x - 5-6=-6 + b

-5 = b

Page 17: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 2C

What is the slope of the line perpendicular to the line y = x – 7?

1

4

Page 18: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 2C

What is the slope of the line perpendicular to the line y = x – 7?

Take the opposite reciprocal of the

slope . The perpendicular slope is -4.

1

4

1

4

Page 19: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 2D

Write an equation in slope-intercept form of a line that passes through the points (9,-2) and (4,3).

Page 20: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 2D

Write an equation in slope-intercept form of a line that passes through the points (9,-2) and (4,3).

First, find the slope using the slope formula

Second, find b by picking one of the points above.

y = mx + b

3 = -1(4) + b Answer: y = -1x + 7

7 = b FINAL answer: y = - x + 7

y 2 y1

x2 x1

m 3 2

4 9

32

4 9

5

5 1

Page 21: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Round 3…

Pencils and Paper ready!!!

Page 22: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 3A

Write an equation in standard form of a line that passes through the points (5,0) and (8,-4).

Page 23: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 3AWrite an equation in standard form of a line that passes

through the points (5,0) and (8,-4).

First, find the slope using the slope formula

Second, find b by picking one Third, write in slope-intercept form

of the points above. then convert to standard form.

y = mx + b y = x +

0 = + b x + y = 0 = + b Get rid of the fractions by x3 to every term.

= b 4x + 3y = 20

y 2 y1

x2 x1

m 4 0

8 5

4

3

4

3(5)

20

3

20

3

4

3

20

3

20

33

4

Page 24: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 3B

Which equation has a slope of 2?

A. -y = 2x + 5

B.y = -2x + 5

C.2x = y – 5

D.3y + 2x = 5

Page 25: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 3B

Which equation has a slope of 2?

A. -y = 2x + 5 (y cannot be negative so rewrite) y = -2x -5

B.y = -2x + 5 (equation stays as is) y = -2x + 5

C.2x = y – 5 (rewrite) –y = -2x – 5 becomes y = 2x + 5

D.3y + 2x = 5 (rewrite in slope intercept form) y = -2/3x + 5/3

Page 26: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 3C

When data have a negative correlation the dependent variable tends to __________ as the independent variable increases.

Page 27: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 3C

When data have a negative correlation the dependent variable tends to negative as the independent variable increases.

Page 28: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 3D

Write an equation in slope-intercept form

when

f(1) = 8 and f(-2) = -7.

Page 29: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 3D

Write an equation in slope-intercept form when

f(1) = 8 and f(-2) = -7.

Rewrite as ordered pairs. (1, 8) (-2,-7)Find slope.

Find y-intercept (b). Final answer: y = 5x + 38 = 5(1) + b

b = 3

7 8

2 1

15

35

Page 30: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Round 4…

Pencils and Paper ready!!!

Page 31: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 4A

Write the equation in standard form with integer coefficients.

y 1

3x

5

3

Page 32: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 4A

Write the equation in standard form with integer coefficients.

Integer coefficients means to get rid of the fractions and replace them with integers. Do this by multiplying each term by the common denominator which in this case is 3.

3y = x + 5 which becomes –x + 3y = 5

Final answer: x – 3y = -5

y 1

3x

5

3

Page 33: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 4B

Write the equation of the line in point-slope form.

(-3, 8), slope =

4

5

Page 34: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 4B

Write the equation of the line in point-slope form.

(-3, 8), slope =

y – y1 = m ( x – x1)

ANSWER: y – 8 = (x + 3)

4

5

4

5

Page 35: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 4C

The equation of LINE 1 is y = 3x +2. All you know about LINE 2 is that is passes through the point (4, 0). Write the equation of LINE 2 when it is parallel to LINE 1.

Page 36: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 4CThe equation of LINE 1 is y = 3x +2. All you know about LINE 2 is that is passes through the point (4, 0). Write the equation of LINE 2 when it is parallel to LINE 1.

Parallel lines have the same slope. So use 3 as your slope for your equation of LINE 2.

y = mx + b

0 = 3(4) + b

0 = 12 + b

-12 = b FINAL ANSWER:

y = 3x - 12

Page 37: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Question 4DAs the treasurer of an outdoor company,

you prepare the budget for a kayaking trip. Each 2-man kayak costs $75 to rent and each 1-man kayak costs $50 to rent. You have $1500 to spend. Write an equation in standard form that models the possible combination of 2-man kayaks and 1-man kayaks that you can rent.

Page 38: Texas Hold-em Algebra- Chapter 4 Review. How to play Each group of 2 will get 2 cards (face-down) Dealer will deal (face-up) cards for the groups to choose

Answer 4D As the treasurer of an outdoor company, you prepare the budget for a

kayaking trip. Each 2-man kayak costs $75 to rent and each 1-man kayak costs $50 to rent. You have $1500 to spend. Write an equation in standard form that models the possible combination of 2-man

kayaks and 1-man kayaks that you can rent.

75x + 50y = 1500