REVIEW CHAPTER 5
1.Do these ordered pairs satisfy a linear function? Explain.
x
1
1
1
1
y
-5
0
5
10
2. At a convenience store, bottles of water cost $1.20. The function f(x) = 1.2x gives the cost of
buying x bottles.
Graph this function.
Give its domain and range.
domain:
range:
3. Find the x- and y-intercepts of 3x - y = 6.
x-intercept:
y-intercept:
4.This table shows the median age of women who were first married in different years. Find the
rate of change for each interval. During which time interval did the age increase at the
greatest rate?
Year
1950 1980 1990 1995 2000
Age
(yr)
20.3
22.0
23.9
5. Find the slope of this line.
24.5
25.1
6. Find the slope of the line that contains
the points (-6, 4) and (2, -8).
7. Tell whether the equation 3x - 6y = 0 is a direct variation. Explain. If the equation is a direct
variation, identify the constant of variation.
8. Tell whether the equation xy = 12 is an inverse variation. Explain. If the equation is an
inverse variation, identify the constant of variation.
9. Write an equation in slope-intercept form that describes the line with a slope of
1
and
5
y-intercept of -10.
10. Write an equation in slope-intercept form that describes the line with a slope of 4 and
y-intercept of 1.
11.Graph the line described by
5
y = x - 4.
2
12. Write an equation in point-slope form that describes the line with a slope of
the point (-2, 6).
13. Identify which lines are parallel.
I y = 4x
III 12x - 3y = 6
II y = -
1
x-3
4
IV 4(y + 6) = x - 3
14. Write an equation in slope-intercept form for the line that passes through
3
(-3, 2) and is perpendicular to the line described by y = x + 4.
2
3
that contains
5
15. Graph f(x) = x - 1 and g(x) = 5x - 1.
Then describe the transformation from the graph of f(x) to the graph of g(x).
16. Write an equation in point-slope form that describes the line with a slope of -3 that contains
the point (1, 2).
17. Identify which lines are parallel.
I y=2
III y = 2x - 1
II y = x + 2
IV y = 2x + 2
18. Write an equation in slope-intercept form for the line that passes through (0, -1) and is
1
perpendicular to the line described by y = x + 4.
8
19. Graph f(x) = 6x and g(x) = -6x. Then describe the transformation from the graph of f(x) to
the graph of g(x).