Review Exercises

1. Solve the linear equation: \( 3x - 7 = 11 \)
2. Graph the line \( y = 2x + 1 \) and identify the slope and y-intercept.
3. Solve the system by substitution: \( x + y = 8 \), \( 2x - y = 3 \)
4. Factor the quadratic: \( x^2 + 5x + 6 \)
5. Simplify the rational expression: \( \frac{x^2 - 9}{x^2 - 6x + 9} \)
6. Solve the inequality: \( 2x - 5 < 7 \)
7. Evaluate the function \( f(x) = 3x^2 - 2x + 1 \) for \( x = 4 \)
8. Graph the exponential function \( y = 2^x \)
9. Complete the square for \( x^2 + 6x + 5 \)
10. Word problem: Two numbers sum to 20, and one is twice the other. Find the numbers.