Scholarship Algebra II Review Chapter 2
Name: ____________________________
1. Write down slope-intercept form:
2. Write down point-slope form:
3. Write down standard form:
4. Write down the equation and slope of a vertical line.
5. Write down the equation and slope of a horizontal line.
6. Is the relation {(–2, 5), (–1, 5), (1, 4), (2, –3), (3, 0)} a function? Explain.
7. Suppose f(x) = -2x + 3, and g(x) = x2 – 1.
a) Find f(3) + g(-2). b) Find  f g  x 
8. a) Find the slope-intercept form of the equation of a line through (1,4) and
2
perpendicular to y   x  8 .
3
b) Find the slope-intercept form of the equation of a line through (1,4) and parallel to
2
y   x  8.
3
9. Find the standard form of the equation of the line passing through points (2, -3) and
(-4, 2). Show work.
10. Find the equation of the horizontal line through (-7, -4)
11. Find the equation of the vertical line through (-7, -4)
12. Determine whether the tables below represent a direct or inverse variation. If so,
find the constant of variation.
a)
b)
x
y
3
12
5
20
8
32
10
40
x
y
4
3
2
6
½
24
8
1.5
13. Suppose z varies directly with x and inversely with y. When x = 6 and y = 2, z = 15.
Find z when x = 4 and y = 9.
14. The diameter of a tree varies directly as its age. A 15 year old tree is 3.75 in. in
diameter. How old will the tree be when it is 25 in. in diameter? Show work.
15. A plumber charges $40 for a service call, plus an additional $12 per hour. Write an
equation that models the cost C after t hours.
16. The population of a high school was 2152 in 1996. In the year 2000, the population
was 2049. Assuming a linear relationship, find the population of the school in 2006.
Show work. (Do not assume a direct variation.)
17. Consider the line 3x + 2y = 10.
a) Find the x-intercept
b) Find the y-intercept
c) Determine if the point (300, -440) is on the line. (I don’t recommend graphing.)
18. Graph the function y = |x + 3| -2.
First make an appropriate table of values.
x
y
19. Graph 3x – 2y < 4 (you should not
using a t-table for this one)
20. Write an inequality for the graph.
21. Graph y  3 x  1
22. Write the equation of the translation of
right 3 units and down 2 units.
Chapter 2 Test Review Answers
1-5 Look them up yourself
6. yes, all x’s different
7. a) 0
b) -2x2 + 5
19.
3
5
2
2
2
14
b) y   x 
3
3
8.a) y  x 
9. 5x + 6y = -8
10. y = -4
11. x = -7
12a) direct, k = 4
b) inverse, k = 12
13. 20/9
14. 100 years old
15. C = 12t + 40
16. 1895 students (rounded)
17. (10/3, 0)
b) (0, 5)
c) no (must be able to justify)
18. (table must have (-3,-2) as
middle pair)
2
3
20. y   x  1
21.
22. y  x  3  2