Patterns and Expressions
Patterns and expressions play a fundamental role in various fields, from mathematics and computer science to linguistics and art. They are the building blocks of structure and meaning, allowing us to identify, describe, and manipulate complex systems. Patterns emerge as repetitive arrangements or sequences, while expressions provide a means to represent and evaluate these patterns dynamically. Understanding patterns and expressions enables us to uncover underlying relationships, solve problems efficiently, and communicate ideas effectively across diverse domains. Whether in code, language, or design, the study of patterns and expressions illuminates the inherent order and beauty present in our world.
Questions
- Giselle earns $20 per hour as a carpenter and $25 per hour as a blacksmith. Last week Giselle worked both jobs for a total of 30 hours, and earned a total of $690. How many hours did she worked as a carpenter and as a blacksmith?
- Is there any process to determine that a number given is prime number or not?
- Eight candles cost $2.00. What is the cost of 36 candles?
- Yasmin looked at the pattern 2, 6, 18, 54, and determined that the next number should be 162. What type of reasoning did she use?
- How would you write the english phrase for the algebraic expression #3w-16#?
- How would you write the algebraic expression for the amount of chocolate squares left, if you started with 20 and ate a couple squares?
- How are patterns used to create algebraic expressions?
- This question belongs to logic category? Picture attached!
- What are the mathematical symbols for sum, difference, product, and quotient?
- How do you evaluate #(6 + w ) + 13,\text{ for } w = 2#?
- How do you write the expression for cost, given that a company's total cost to produce shirts is $100 plus $7 per shirt?
- Two consecutive odd numbers add up to 60. What are the numbers?
- A store has a sale on books. The price is $17.55 for one book, $16.70 each for 2 books, $15.85 each for 3 books, and $15 each for 4 books. If this pattern continues, how much per book will it cost to buy 7 books?
- What real world example can be modeled by the expression #h+8#?
- Kayla's mom left a 20% tip for a restaurant bill that was $35. She used the expression 1.20(35) to find the total cost. Which equivalent expression could she also use to find the total cost? A) 1.02(35) B) 1+0.2(35) C) (1+0.2)35 D) 35 + 0.2
- Is there a way to compute a #ln# or a #log# function without a calculator? (an approximation). Say #ln2# or # ln3#
- How do you write the expression for the quotient of 45 and a number?
- What is the correct way to write the expression for: forty-two less than y?
- On Monday, Janelle earned $16 for 2 hours of babysitting. Getting paid the same rate, she earned $40 for babysitting on Saturday. How many hours did Janelle babysit on Saturday?
- Jason spent $124.00 buying 3 t-shirts and 5 hoodies at the concert. Jenna spent $100.00 and she bought 5 t-shirts and 3 hoodies. What is the price of one t-shirt?