BHS Algebra I
Chapter 4 Test
Name _______________
Date ________ Period___
Section A: Fill-ins (2 points each)
1. The ______________ of a non-vertical line is the number of units the line rises or falls for
each unit of horizontal change from left to right (change in y over the change in x).
2. The point where the line crosses the y axis is called the _________________.
3. Two different lines in the same plane are _______________ if they do not intersect.
4. The graph of y = 2 is a ________________ line.
5. The linear equation y = mx + b is written in _______-________form.
Section B: Solutions of Equations (3 points each)
Decide which of the two points lies on the graph of the line.
7. y = -3x + 1
a. (0, 1)
b. (1, 4)
8. 2x + y = 8
a. (2, 2)
b. (3, 2)
Section C: Slope (4 points each)
Find the slope of the line passing through the given points.
9. (2, 4) and (5, 2)
10. (-5, 2) and (6, -2)
Find the value of y so that the line passing through the two points has the given
slope. (5 points)
11. (4, y) and (5, 3) and m = 3
Section D: Intercepts (8 points each)
Find the x-intercept and y-intercept, then graph.
12. y = 5 – x
13. 6x – 3y = 24
X-Intercept:
X-Intercept:
Y-Intercept:
Y-Intercept:
Section E: Direct Variation (6 points)
14) The variables x and y vary directly. When x = 5, y = 20.
a. Write an equation that relates x and y.
b. Find the value of y when x = 10.
Find the slope and y-intercept of the graph of the equation. Then graph the
equation using the slope and y-intercept that you found. (8 points each)
15.
y = -3x - 4
16.
5x – 10y = -20
Slope:
Slope:
Y-Intercept:
Y-Intercept:
Section G: More Slope! (4 points each)
Find the slope of the line passing through the given points.
21. (2, 2) and (5, 2)
22. (1, -4) and (-2, 3)
Section H: Functions (4 points each)
23) Decide whether the relation is a function. If so, give the domain and the
range.
a.
b.
24) Is the set of ordered pairs (-6, 2), (-7, 5), (-8, 2), (-6, 20) a function? Explain
why or why not. (4 points)
25) Evaluate the function for the given value of the variable. (4 points)
a. f(x) = 3x – 4 when x = 2
b. g(x) = -10x + 20 when x = -1
1
2
26) Graph f(x) = - x + 3
(5 points)
Extra Credit (5 points) Use a graphing calculator to find the solution of the
equation. -1.6(1.5x + 7.5) = 0.6(6x + 30)