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 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.

Round 1… Pencils and Paper ready!!!

Question 1A What is the slope of the line y = -10x – 8?

Answer 1A What is the slope of the line y = -10x – 8? The slope is -10.

Question 1B Write the equation of the line shown.

Answer 1B Write the equation of the line shown. y = -x + 2

Question 1C True or false. The equation of the line shown is x = 2?

Answer 1C True or false. The equation of the line shown is x = 2? False. The equation is y = 2.

Question 1D What is the equation of a line with a slope of and a y-intercept of -11?

Answer 1D What is the equation of a line with a slope of and a y-intercept of -11? y = x - 11

Round 2… Pencils and Paper ready!!!

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.

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

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

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 =-6 + b -5 = b

Question 2C What is the slope of the line perpendicular to the line y = x – 7?

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.

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

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 = b FINAL answer: y = - x + 7

Round 3… Pencils and Paper ready!!!

Question 3A Write an equation in standard form of a line that passes through the points (5,0) and (8,-4).

Answer 3A Write 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 + by = x + 0 = + b x + y = 0 = + b Get rid of the fractions by x3 to every term. = b 4x + 3y = 20

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

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

Question 3C When data have a negative correlation the dependent variable tends to __________ as the independent variable increases.

Answer 3C When data have a negative correlation the dependent variable tends to negative as the independent variable increases.

Question 3D Write an equation in slope-intercept form when f(1) = 8 and f(-2) = -7.

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 = 5(1) + b b = 3

Round 4… Pencils and Paper ready!!!

Question 4A Write the equation in standard form with integer coefficients.

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

Question 4B Write the equation of the line in point-slope form. (-3, 8), slope =

Answer 4B Write the equation of the line in point-slope form. (-3, 8), slope = y – y 1 = m ( x – x 1 ) ANSWER: y – 8 = (x + 3)

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.

Answer 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. 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

Question 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.

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