Algebra 2 by Richard Wright

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Take this test as you would take a test in class. When you are finished, check your work against the answers.

0-01

1. Solve 2x + 1 = 5x – 3
2. Solve 2 < 2x + 1 < 5
3. Solve for y: 3x + 5y = 8

0-02

4. On Sabbath, Franklin's family likes to walk in the woods. If Franklin walks at a rate of 3.5 mph, how far can he walk in 2 hours?

5. 

   A honey bee is collecting pollen from flowers. The table shows how many flowers, f, it has visited in t minutes. If the pattern continues, how many flowers will the bee visit in 8 minutes?
   

   t (min)	1	2	3	4
   f (flowers)	6	12	18	24

0-03

6. Solve |2x + 1| = 7
7. Solve 2|x – 6| = 10
8. Solve |7x – 1| < 15

0-04

9. Find the slope of the line through (–2, 1) and (–5, 5).
10. Write the equation of the line with slope = 5 and passes through (7, 1).
11. Write the equation of the line that passes through (0, 7) and (3, –2).

0-05

12. Graph \(y=\frac{2}{3}x-2\).
13. Graph y = –3x.
14. Graph 3x – 4y = –12.

0-06

15. Describe the transformation. \(\frac{1}{3}f\left(x-2\right)+4\)
16. Graph y = |x – 2| – 3.

0-07

17. Graph y > x.
18. Graph \(y ≤ \frac{1}{2}\left|x+1\right|+2\).

0-08

19. For each scatter plot, a) tell whether the data have a positive correlation, a negative correlation, or approximately no correlation, and b) tell whether the correlation coefficient is closest to –1,–0.5,0,0.5, or 1.
    
20. Draw a scatter plot using the data in the table, then write the equation of the best-fitting line.
    

    x	0	0.5	1	1.5	2	2.5	3	3.5	4
    y	5	4.75	4.5	4.25	4	3.75	3.5	3.25	3

Answers

1. \(x=\frac{4}{3}\)
2. \(\frac{1}{2} < x < 2\)
3. \(y=-\frac{3}{5}x+\frac{8}{5}\)
4. 7 miles
5. 48 flowers
6. x = –4, 3
7. x = 1, 11
8. \(-2 < x < \frac{16}{7}\)
9. \(m=-\frac{4}{3}\)
10. y = 5x – 34
11. y = –3x + 7
12. 
13. 
14. 
15. Vertical shrink by factor of \(\frac{1}{3}\), move 2 right and 4 up
16. 
17. 
18. 
19. Positive correlation, r ≈ 0.5
20.