Download 5 7 y xy = + 4x = 6y 4 9 2 y x - = + 3 y x = -

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Algebra LINEAR EQUATIONS PRACTICE TEST
Determine whether the equation is a linear equation. If so, write the equation in standard form.
1.
3 y  5 xy  7
2.
3.
4x = 6y
9y 
4
2
x
Find the x- and y-intercepts of the graph of each linear function.
4.
Graph the equation using intercepts.
5.
y  x 3
Ver: 1
Graph the equation using intercepts.
6.
5 x  3 y  15
Find the slope of the line that passes through the pair of points.
7.
(2, 4), (–1, 3)
8.
(4, 2), (3, 5)
9.
(3, 7) and (3, –2)
Write a direct variation equation that relates x and y. Assume that y varies directly as x. Then solve.
10. If y = –42 when x = 6, find x when y = –28.
11. If y = –4 when x = 16, find y when x = 9
12. Write an equation of the line with the given slope and y-intercept.
slope:
, y-intercept: –6
13. Write the slope-intercept form of an equation for the
line graphed below.
14. Graph the line with the given slope and y-intercept.
slope =
2
7
, y-intercept = –4
15.
slope = -2, y-intercept = 3
21. Graph the equation using the slope and y-intercept.
3x  y  5
Write an equation of the line that passes through each point with the given slope
24.
(2, –2), m = 2
25. (–4, 3), m = 5
Write an equation of the line satisfying the given conditions, graph it, then give its slope
26. is horizontal and passes through (2, -8)
27. is vertical and passes through (-4, 6)
Write the point-slope form of an equation for a line that passes through the point with the given slope,
then restate it to slope-intercept form:
28. (–4, –1), m = 4
For the linear equation below, give the specified point in the format (x 1, y2.), then write the equation in standard
form.
29.
y + 8 = –(x – 4)
(x1, y2.):
Standard form:
Write an equation of the line that passes through the pair of points.
30.
(–8, 48), (1, 12)
31.
(–1, 21), (2, 12)
Write the equation in slope-intercept form.
32.
Write the equation in slope-intercept form.
y+1=
(x – 4)
Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to
the graph of the equation.
33.
(3, –1), y = x + 3
Write the slope-intercept form of an equation that passes through the given point and is perpendicular to the
graph of the equation.
34.
(3, 1), x – 5y = –25
35.
Find the
zero (root, solution, x-intercept) of 5x – 35 = y.
36. Graph the points (-3, –2), (4, 4), (–3, 4). Find a fourth point that completes a rectangle with the given three
points, then graph the rectangle on the coordinate plane.
Use the table below that shows the amount of gasoline a car consumes for different distances driven.
Distance (mi.)
1
2
3
4
5
Gasoline (gal)
37.
.03
.06
.09
.12
.15
a. Write an equation in function notation for the relationship between distance and gasoline used.
b. Use the equation to determine the amount of gas used for 36 miles.