Equations & Inequalities - Unit Test A

Imagine you're a legendary explorer like Priya or Kai, setting off on a thrilling adventure. What's the first name you'd choose for your bold and daring alter ego?

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Picture yourself as a world-renowned detective, much like Sherlock Holmes, on the brink of unraveling a thrilling mystery! Can you uncover the last name of the enigmatic character, Abigail, who has left a puzzling note for her friends Ethan and Harper?

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1. Solve.

2. Solve.

3. Solve.

4. Sophia and Kai are solving a math puzzle in class. If x = -1, which of the following equations will make them cheer with a true statement?

• A. 4x + 9 = 20

• B. -4x – 5 = -15

• C. -3x + 15 = 18

• D. -5x – 15 = -22

Aria the plumber, known for her quirky jokes and quick fixes, charges $55 just to show up, plus $35 for every hour she works. If she charged a total of $160 for a job, which equation would help you figure out how many hours Aria worked?

• A. 55 + 35x = 160

• B. 55x + 35 = 160

• C. 90x = 160

• D. 55 – 35x = 160

6. The model below represents an equation. What is the solution for the equation?

On a scorching summer day, Jackson is on a mission to fix his air conditioner. The repair service charges $85.00 per hour, plus a cool diagnosis fee of $75.00. If Jackson's total repair bill comes to $385.00, which of the following equations best captures this scenario?

• A. 75x + 85 = 385

• B. 85x + 75 = 385

• C. 85x – 75 = 385

• D. 75x – 85 = 385

8. Which number line best represents the solution to the problem below?

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