Book 2 Mastery Check

A mixed review for Bridge to Calculus. Use this check to decide whether to review Book 2 topics or continue to Book 3.

Final Book 2 Review

This is not a grade. It is a readiness check for calculus thinking.

Book 2 focus: algebra foundations, function thinking, trigonometry, rates of change, and introductory differentiation/integration.

1. Solve: 3x + 5 = 20

2. Solve F = ma for a.

3. Given f(x) = 3x + 2, find f(2).

4. A tank fills at 5 liters per minute and starts empty. Which function models the volume V after t minutes?

5. In a right triangle, opposite = 3 and hypotenuse = 5. What is sin(θ)?

6. Convert 90° to radians.

7. A car travels 120 miles in 2 hours. What is the average speed?

8. A speedometer reading is an example of what type of rate?

9. Velocity is the rate of change of what quantity?

10. Find the derivative of f(x) = x².

11. Integration often represents what big idea?

12. Differentiation and integration are best described as: