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# Functions and equations

I need help answering these practice questions. I have attached the questions that I need help with. Please explain your answers in detail.

1. Which of the ordered pairs (3, 1), (0, -4), (-4, 0), (-3, -7)are solutions for the equation x - y = 4?
2. Given f(x) = 5x - 1, find f(a + 3).
3. Solve by completing the square. x2 = 5x + 2
4. Find the slope of the line passing through the points (-10, 4) and (-4, -1).
5. Graph the inequality.
6. Find the axis of symmetry.
7. Solve. x2 + 9 = 34
8. A roof rises 2.75 ft over a horizontal distance of 20.91 ft. What is the slope of the roof to the nearest hundredth?
9. Write the equation of the line with slope 5 and y-intercept (0, -3).
10. Match the graph with one of the equations.
11. Simplify.
12. Find the y-intercept.
13. Solve the system by addition or substitution.
14. Determine whether is rational or irrational.
15. Find the x-intercepts.
16. Determine which two equations represent parallel lines.
17. Solve. 5(x - 2)2 = 3
18. Write the equation of the line that passes through point (-6, -2) with a slope of 0.
19. Lane invested \$28,000, part at 18% and part at 9%. If the total interest at the end of the year is \$3,240, how much did she invest at 18%?
20. Solve the following system of linear inequalities by graphing.