Algebra 2 Prerequisite Test Review



For questions 1-4, solve for x.

1. a) [pic] b) [pic]

2. [pic] + [pic] = [pic]

3. 3(x – 1) – 5(2x + 3) > 3x – 10

4. [pic] = [pic]

5. Simplify: 3x(4x + 1) – 2(5x – 6)

6. a) The length of a rectangle is 6 inches more than its width. The perimeter of the rectangle is 24 inches. What is the length of the rectangle?

b) Cara, Amber, and Maddie had 100 stamps in their stamp collection. Cara had twice as many stamps as Maddie. Maddie had four less stamps than Amber. How many stamps did each of the three girls have?

7a. Graph [pic] 7b. Graph: 3x + 2y > 12

8. Write the equation of a line that passes through the points (–2, –7) and (– 4, –11).

9. Write an equation of a line perpendicular to the line

and passes through the point (–4, 5).

10. Find the x- and y-intercepts: 2x – 3y = 12.

Solve the system of equations.

11. a) [pic] b) [pic]

c) [pic] d) [pic]

12. Simplify. [pic]

13. Simplify. [pic]

14. Multiply: [pic]

15. Factor: [pic]

16. Simplify. [pic]

17 a) What are the solutions of the equation

x2 – 2x – 15 = 0?

b) What are the factors of the equation

x2 – 2x – 15 = 0?

18. Factor completely. [pic]

19. Multiply. [pic]

20. Subtract: [pic] – [pic]

21. If a = 2 and b = -3, then [pic]

22. Solve by factoring. x[pic]– 7x + 10 = 0

23. What number completes the square? x[pic]+ 12x + ____

24. Solve using the quadratic formula. [pic]

25. Given the equation[pic]where will the parabola cross the x-axis?

26. Graph the above function in #25 and find the x- and

y-intercepts.

27. How many x-intercepts does the quadratic function

y = x2 + 5x + 7 have?

28. Solve for x: 3x2 = 147

_____

29. Solve for x: (3x – 1 + 4 = 10

30. a) Factor: 4x2 + 5x - 6

b) Factor: 9x2 – 30x + 25

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