10/05 Agenda I need: Notes from pickup (2) EQ: Can I write a one- variable, two-step equation to represent constraints or conditions within problems? Homework: Skills HW 6 due 10/6 Finish and summarize Notes 6 weeks calendar Test 10/13 I need: Notes from pickup (2) Red, yellow, green, blue and orange colored pencils

Translating Verbal and Algebraic Equations/Inequalities

A verbal Equation/inequality………. uses WORDS instead of “real” operation symbols, numbers and variables.

An algebraic equation/inequality…. uses the REAL numbers, operation symbols and variables and does NOT have WORDS

A verbal equation/inequality looks like sentence or phrase. The Bottom-line.... A verbal equation/inequality looks like sentence or phrase.

An algebraic equation/inequality looks the real math problem. The Bottomline.... An algebraic equation/inequality looks the real math problem.

does not exceed (go over) is greater than or equal to Symbol Normal Meaning Other Meanings = is equal to the same as < is less than fewer than Is under is fewer ≤ is less than or equal to at most no more than has maximum value not greater than does not exceed (go over) > is greater than more than is over exceeds ≥ is greater than or equal to at least no less than is not under has a minimum value

Translating Between Algebraic and Verbal Equations/Inequalities 1.) Translate from left to right.

If you see the single words like “is” or “equals,” you are translating an equation.

Trap One The phrases at _______ and no _______ than DO NOT mean greater than….they really mean less than or equal to. most more

Trap Two At least and no less than sounds like _____ than but they really mean _______ _______ or equal to. less greater than

Let’s color code!! The difference of twice a number k and 8 is 12.

The product of 6 and an unknown number is at least 24.

***A number y is no less than 5 and no more than 13.

The quotient of an unknown number and 12 is at least 30.

The sum of twice a number r and 3 is 11.

Two-thirds of an unknown number is at most 24.

***The quotient of a number y divided into 10 is 5.

22= 4h + 11

B + 8 ≤ -2

S3 – 9 = ½

Z / -9 -23 > 99

I need: 10/06 Notes from yesterday Turn in Skills HW 6 Agenda EQ: Can I write a one- variable, two-step equation to represent constraints or conditions within problems? Homework: Finish 5 problems 6 weeks calendar Test 10/13 I need: Notes from yesterday Turn in Skills HW 6 Red, yellow, green, blue and orange colored pencils

Answer Bank 1-5 Instructions 1.) Predict whether it’s an equation or inequality! 2.) Color code the word problem! 3.) Find a match based on your analyzing. 700 > 576 + 20c 550 – 100x = 50 45.25x = 497.75 12n - 50 > 100 550x + 25 ≥ 1300 59 ≤ 11 x – 5 100x + 50 < 550 45.25x - 55.78 = 497.75 700 > 576c + 20 11x – 5 ≤ 59 550a + 25 = 1300 20M + 45.25 =$497.75 550 + 25x > 1300 11x – 5 > 59 550 = 50x + 100 45.25x + 55.78 > 497.75 12n - 50  100 55.78x + 45.25 = 497.75 100x - 50 = 550 700 ≥ 576 + 20c 550 + 25x ≥ 1300 45.25x + 55.78 = 497.75 Make a copy to give to all student pairs.

Problem Situation #1 Linda Jobe’s 25-member dance team is raising funds to participate in the All State Texas Dance Competition. They plan to raise at least $1,300 to cover the cost of entry fees. The class has currently raised $550. If each dance member raises an equal amount of money, write the equation or inequality that would determine the amount each team member could raise to meet the goal. Use mapcolors to color code words in problems with word in inequality or equation.

Problem Situation #2 In the summer, Frank mows lawns for his neighborhood. For each lawn he mows, Frank receives $45.25. He also spends $55.78 on gas. This summer, he earned $497.75. Create the equation or inequality that can be used to determine how many lawns he mowed this summer.

Problem Situation #3 Joseline originally had $550 in her checking account. After withdrawing $100 each week, she has a new balance of $50. Develop the equation or inequality that best represents the number of weeks Joseline withdrew money from her checking account.

Problem Situation #4 Lania’s gym membership costs $576 per year. Additionally, the gym charges $20 for a 2-week boot camp class. Lania has at most $700 per year in her budget to spend for a gym membership and boot camp classes. Create the equation or inequality that can be used to find the greatest number of boot camp classes Lacey can take in a year.

Problem Situation #5 Jessie purchases 11 equally-priced balloons for a birthday bouquet for her mom. She also buys a stuffed elephant for $5. If Jessie spends a maximum of $59 on her mom’s bouquet, write and equation or inequality that can be used to find how much each balloon cost.

Assignment from Friday (do not turn in) 10/10 Agenda EQ: Can I write a one- variable, two-step equation to represent constraints or conditions within problems? Homework: Skills HW 7 Calendar: Test 10/13 I need: Turn in Reflection Assignment from Friday (do not turn in) 2 papers from pickup

PAGE 228- for daily grade Work with your partner Write A, B, C, D or E NOT the symbol Put name on paper, tear out and turn in Put book up!

STRIP DIAGRAMS WRITING AN EQUATION OR INEQUALITY FROM A WORD PROBLEM 10/10

Peter spends $23. 50 at the local arcade and mini-golf course Peter spends $23.50 at the local arcade and mini-golf course. Each round of mini golf costs $7.50 and each arcade game costs $2. Create the equation or inequality that would determine the number of arcade games Peter can play if he plays one round of mini-golf.

Mrs. Parker’s class is collecting books to donate to the schools affected by Hurricane Harvey. The class goal is to collect at least 60 books for the youth section and Mrs. Parker already has donated 15 books from her own personal collection. They plan to donate three more books every week until they reach or exceed their goal. Produce the equation or inequality that can be used to determine the number of additional weeks that Mrs. Parker’s class collects books.

Amanda has less than $40 to spend on flowers Amanda has less than $40 to spend on flowers. She wants to buy a pair of red rose flowers for $18 and spend the rest on lily flowers. Each lily flower costs $11. Write an inequality or equation for the number of lily flowers she can purchase.

An employee of a car wash earns $12 for each car she washes An employee of a car wash earns $12 for each car she washes. She has already saved $50. This week, she wants to have more than $100 in spending money. Produce the inequality or equation that represents that fewest number of cars she needs to wash to meet her spending money goal.

Suzie’s birthday party, her 18 best friends gave her the same amount of money. She used $45 of the money to buy thank you cards. Her bank account needs to have a minimum of $425 this month. Create the equation or inequality that can be used to determine how much each friend gave her.

If you got it write the first time do nothing 10 problem assignment If you got it write the first time do nothing If you got it wrong, draw a strip diagram to represent the correct answer.