Algebra 2 Prep Pretest
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Date ____________________Period ______
DIRECTIONS: Use space provided to show all your work. Circle/Box all final answers.
For questions 1-4, solve for x.
1.
2x  4  6
2.
2 x 3 29
+
=
3
5 15
7a. Graph x  2 y  6
7b. Graph 3 x  2 y  12
3.
3x  1  52x  3  3x  10
8. Write the equation of a line that passes through the
points (–2, –7) and (– 4, –11).
4.
2
4
=
x7 x3
9. Write an equation of a line perpendicular to the line
y
4
x7
3
and passes through the point (–4, 5).
5. Simplify: 3x(4x + 1) – 2(5x – 6)
10. Find the x- and y-intercepts: 2x – 3y = 12.
6. 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?
Solve the system of equations.
11a.
x  9  3 y

2 x  4 y  8
11b.
2 x  5 y  16

 4 x  10 y  9

12. Simplify. 4a 2 b 3 2a 4 b
13. Simplify.

3
20. Simplify.
4x3 y8 z 3
6x9 y 2 z 3
2x  3
x  x  30
2
21. If a = 2 and b = -3, then
5a  2b
2a  b
22. Solve by factoring.
14. Multiply: 4 x  5 6 x  11
x 2 – 7x + 10 = 0
23. What number completes the square?
15. Factor: 4 x 2  25
16. Factor. 2 x  5
x 2 + 12x + ____
2
24. Solve using the quadratic formula.
3x 2  2 x  3  0
17a. What are the solutions of the equation
x2 – 2x – 15 = 0?
17b. What are the factors of the equation
25. Given the equation y  x 2  4 x  5, where
will the parabola cross the x-axis?
x2 – 2x – 15 = 0?
12a b  28a b  8ab
4ab
3
18. Factor completely.
2
26. How many x-intercepts does the quadratic
function y = x2 + 5x + 7 have?
27. Solve for x: 3x2 = 147
19. Multiply.
x 2  2 x  15 x 2  3x  18
 2
x2 9
x  7x  6
28. Solve for x: 3x – 1 + 4 = 10