Practice Test Questions

1. Solve for \( x \): \( 5x - 7 = 18 \)
2. Graph the line \( y = -x + 4 \) and determine slope and y-intercept.
3. Solve by elimination: \( 2x + y = 7 \), \( 3x - y = 5 \)
4. Factor the quadratic: \( x^2 - 7x + 10 \)
5. Simplify: \( \frac{x^2 - 4}{x^2 - 2x} \)
6. Solve the inequality: \( 3x + 5 > 11 \)
7. Evaluate \( f(x) = x^2 - 3x + 2 \) for \( x = 5 \)
8. Graph \( y = 3^x \)
9. Complete the square: \( x^2 + 8x + 12 \)
10. Word problem: The sum of two numbers is 36; one number is 4 more than the other. Find the numbers.
11. Solve the system of three variables: \( x + y + z = 9 \), \( 2x - y + z = 5 \), \( x + 2y - z = 6 \)
12. Determine if the system has one solution, none, or infinite solutions: \( 2x + 3y = 6 \), \( 4x + 6y = 12 \)