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Algebra I
Unit 7 Test
Name____________________________
1. Find the slope of the line passing through the two points: (-3, 6),
(3, 5)
2. Find the slope-intercept form equation for the line shown in the graph below.
4
2
-5
5
-2
3. Find the point-slope form equation for the line passing through the point (2, 7)
with a slope of -3.
4. Are the equations 2x + 5y = 10 and -5x +2y = 15 parallel, perpendicular, or
neither? Explain.
5. Are the equations 2x – y = 3 and y = 2x + 1 parallel, perpendicular, or neither?
Explain.
6. Graph the line -3x + 4y = 8 on the Cartesian Coordinate System below:
4
2
-5
5
-2
7. Write the equation for the line passing through the points (0, 2) and (2, -2) in
standard form.
In problems 8 & 9 find the distance between the two points given.
8.
(-1, 4) and (4, -8)
9. (-1, 3) and (6, -5)
10. Give a thorough explanation on why a horizontal line has a slope of 0.
11. Explain what the solution to a system of linear equations represents.
12. Solve the system of linear equations below using the graphing method:
y = 2x + 2
3x - 3y = -6
4
2
-5
5
10
-2
-4
13. Solve the system of linear equations below using the graphing method.
8 x  4 y  16
2x  y  4
4
2
-5
5
-2
-4
10
Match the definition with the correct vocabulary term at right.
14.______
15. ______
A solution to an equation in
two variables.
A. Slope-Intercept Form
rise
run
B. x-intercept
16.______ To find this value, you plug 0 into the
equation for x and solve for y.
C. Ordered Pair
17.______ Where the graph crosses the x-axis.
D. y-intercept
18.______ Ax + By = C where A & B are integer
coefficients
E. Standard Form
19.______ Assigns every input value exactly
one output value.
F. Function
20._______ y = mx + b
G. Point-Slope Form
21._______ y – y1 = m(x – x1)
H. Slope
22. Given f(x) = -5x + 8, find f(-2).
23. Is the picture below a function? Explain why or why not.
Inputs
2
Outputs
1
4
5
6
8
8
9
24. Solve the system of equations below using the substitution method:
3n + 5m = 7
m – 4n = 6
25. Solve the system of equations below using linear combinations.
2x + y = 8
3x – 2y = 5
26. It took Joe 6 hours to cycle 48 miles going against the wind. The next day, on
the return trip, it took Joe 3 hours, traveling with the wind. What was Joe’s speed
without the wind? (Set up a completed chart and solve).
27. Solve the following problem using two variables:
The length of a rectangle is 5 cm less than 3 times its width. If the perimeter is 70
cm, find the dimensions.
Bonus: Solve the problem above using only one variable.
Bonus #2:
A radio station broadcasts programs and commercials 20 hours everyday. The ratio of
the time spent on commercials to the programming time is 1:4. How much time each day
does the station spend broadcasting commercials?
Bonus #3:
A business sees the graph below. The graph represents how much the business profits (P)
from selling x amount of items. According to the graph, how many items must the
company sell to “break even”?
100
80
60
40
20
-50
50
-20
-40
-60
-80
-100
100
150
200
250