Mathematical Problem-Solving Strategies

Imagine you're gearing up for an epic road trip adventure and you're crunching numbers to see how much you'll need for snacks, tunes, and, of course, fuel. Speaking of fuel, how would you describe its cost in the grand scheme of your travel budget?

• A fixed numerical value that remains constant, no matter how far you roam.

• A magical formula for calculating how much you'll spend on quirky roadside attractions.

• A variable beast, changing its spots depending on how many miles you conquer.

• A peculiar type of expense that's exclusive to road warriors like yourself.

Imagine you're part of a superhero team tasked with developing an incredible new software application. In your adventure, which of the following is NOT one of the four phases you identify in your problem-solving process?

• Understanding the project requirements with your team of heroes

• Designing a solution architecture in your secret tech lab

• Memorizing the code like a spellbook

• Implementing the solution with your combined superpowers

Guess who's the brilliant mind behind the problem-solving strategies that even the rocket scientists at SpaceX rely on for troubleshooting their launch issues? 🚀

• Isaac Newton

• Albert Einstein

• George Polya

• Euclid

Congratulations, team! We've just developed a shiny new software feature. But before we pop the champagne, what's the grand finale in our problem-solving adventure?

• Evaluating the solution

• Looking back i.e., verifying

• Making a plan of solution

• Understanding the problem

Imagine you're the mastermind behind designing a super cool new office space. Your mission, should you choose to accept it, involves cracking the code to figure out the magic formula for calculating the number of sleek partitions needed, given the number of stylish cubicles. Peek at the secret data table provided for clues.

• y = x + 2

• y = 2x + 1

• y = x/2 + 1

• y = 2x - 1

Imagine Sarah is setting up a whimsical new office and she's got a magical formula for happiness: y = 2x + 1. If she has 30 enchanting cubicles to sprinkle with joy, how many partitions does she need to create a space buzzing with creativity?

• 30 partitions

• 60 partitions

• 61 partitions

• 62 partitions

Imagine you're designing a super cool new office building with 5 unique rooms. To make it easy for everyone to visit each other, you decide to connect every room directly with doors. According to the magical formula y = 2x + 1, how many doors will you need to make sure everyone can walk directly to any other room?

• 9 doors

• 10 doors

• 11 doors

• 12 doors

Imagine you're joining the Green Gym, a place where fitness dreams come true! They have a one-time sign-up fee of $50 and a monthly membership of $25. Can you figure out the magic formula to calculate the total cost of pumping iron there for x months?

• y = 25x + 50

• y = 50x + 25

• y = 25x - 50

• y = 50x - 25

Imagine Alex is embarking on a fitness journey and decides to join a gym with a unique membership rule: y = 25x + 50, where x is the number of months. Can you calculate how much it will cost Alex to be a member for an epic two-year (24 months) adventure?

• $650

• $700

• $600

• $750

Guess what? Alex from our team just used the Company T phone system! Can you figure out how much each minute of airtime cost him?

• $0.10

• $0.20

• $0.30

• $0.40