🎵 Part 1: Identifying the Beat - Variables, Constants & Coefficients

1. In the equation 3x + 7 = 19, identify each component:

Variable: _________ Coefficient: _________ Constant: _________

2. Which of the following represents a coefficient in the equation 5y - 12 = 8?

y

5

12

8

3. Circle all the variables in this linear function: f(x) = -2x + 9

f

x

-2

9

4. Write your own linear equation and label the variable, coefficient, and constant:

🎤 Part 2: Solving the Rhythm - Step-by-Step Solutions

5. Solve for x: 2x + 6 = 14

Solution: x = _________

6. Solve the inequality: 3x - 9 > 12

Solution: x _________ _________

7. A linear function has a slope of 4 and passes through the point (0, -3). What is the equation?

y = 4x - 3

y = -3x + 4

y = 4x + 3

y = 3x - 4

8. Solve and graph the solution on a number line: -2x + 8 ≤ 4

9. Write a real-world scenario that could be modeled by the linear function y = 25x + 50. Include what the variables and constants represent.

10. Explain in your own words why the coefficient in a linear function determines the "steepness" of the line. Use complete sentences.