Algebra 2
Chapter 2: Review
Name
Period
Date
1. Which of the following equations is not linear?
A. 5y = 7.5x
B. y = 12
1.
5
C. y =
+7
x
D. 7x = 4 + 3y
2. What is the slope of the line containing the points (2, 4) and (6, -8)?
A. 3
1
C.
3
B. -3
2.
1
D. 3
3. What is the slope of every line that is parallel to y = 5x – 3?
A. -5
B. 1/5
C. -3
D. 5
3.
4. Write an equation in slope-intercept form for the line that contains the point (5, -2) and is perpendicular to the
line y  
5
x  8.
3
5.
5. Graph the following.
a. 2x + 3y = 12
b. y = -4
6. Solve.
A.
E.
5
3

3x  2
8
1
5 x  3  6
2
B.
4x 2x  5

9
4
c. y < -
C.
1
7 1
x 
3
4 6
1
x
2
d. y > 3x + 2
D.
2
(5x + 3) - 20 = 4
3
F. 5 is what percent of 90?
7. A car rental company charges $50 per week plus $0.03 per mile driven to rent a car.
A. Write a linear equation to represent the relationship between the weekly cost, y, to rent a car from this
company and the number of miles driven in a week, x.
A.
B. Amy paid $53.75 to rent a car for one week. How many miles did she drive during that week?
B.
8. The number of home runs hit by a player is shown below.
1990
1991
1992
1993
1994
39
22
42
9
9
1995
39
1996
52
A. Find the equation of the least-squares line.
1997
58
1998
70
1999
65
A.
B. Find the correlation coefficient, r, to the nearest hundredth.
B.
C. Use the least-squares line to predict the number of home runs the player will hit in 2000. __________
For the following 3 problems, state whether the statement is true or false.
9.
A correlation coefficient can be equal to -2.
9.
10.
10.
11.
If the slope of a least-squares line is negative, then the correlation.
coefficient is negative
A data set with a correlation coefficient of -0.72 has a stronger linear
relationship than a data set with a correlation coefficient of 0.64.
Solve and graph the following inequalities.
12.
2
(x – 12)  x + 5
3
13.
5 1
2
1
 x
x
3 4
3
6
14.
11.
4x + 6 > -10 and -3x – 5 > -17
Solution:
Solution:
Solution:
Graph:
Graph:
Graph:
15.
4x  3
 3
5
16.
1 – 2b = 5
17.
18-4y= -2(2y -9)
Solution:
Solution:
Solution:
Graph:
Graph:
Graph: