Algebra
Mt 100
Chapter 4 Test
Name ___________________________
1. On which axis is the point (−9, 0) located? ____________________
(2 points)
2. In which quadrant is the point (π , − 3 ) located? ____________________
3. Find the x -intercept for the graph of 5x − 3y = 18 .
(2 points)
(4 points)
4. Write the formula for each form of a linear equation.
(2 points each)
a) Slope-intercept form: _________________________
b) Point-slope form: _________________________
c) Standard form: _________________________
d) A vertical line: _______________
e) A Horizontal line: _______________
5. Give the slope and the y-intercept for the graph of y = −5 x + 2 .
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a) Slope: _______________
3
(2 points each)
b) y-intercept _______________
6. Write the equation of a horizontal line through the point (3.2, − 2.45) . Then find each.
(2 points each)
a) Equation: _______________
b) Slope: __________
c) y-intercept: ________
7. Find the slope of the line passing through the points (17, 2) and (10,−2) .
(4 points)
m = __________
8. Write the equation of the line with slope m = −1 passing through the point (7, − 5) in
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point-slope form. ___________________________________ (4 points)
9. Write the equation of the line passing through the points (0, 2) and ( 4, 5) in slopeintercept form. ___________________________________ (4 points)
10. Write the equation y + 3 = −5( x + 2) in standard form form.
(4 points)
11. Find the equation of a line through (3, −1) and parallel to the line 2x − 3y = −18 .
Write your answer in point-slope form. _________________________ (4 points)
12. Find the slope of a line perpendicular to the line y = −3 x − 9 . m = ______
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13. Graph the equation x − 2 y = 4 . Label the points you plot on the graph
(2 points)
(8 points)
14. Write the equation of the line graphed below? _______________________
What is the slope of this line?
__________________
(2 points)
(2 points)
15. The graphs of the equation 2x + 3y = 11 and 3x − 2 y = 7 are which? (2 points) a parallel
)
)
)
b perpendicular
16. Graph the linear inequality 3x + 5y < 15 .
c neither
(8 points)
17. Write the equation for the line graphed below in slope-intercept form.
18. Which inequality matches the graph below?
(2 points)
19. Which one ordered pair is a solution to the graph above?
a the origin
)
)( )
b 0, 1
)(
c −2, 6
)
)(
(2 points)
) d 3, − 5
(4 points)
20. Give the domain and range of the relation. Then determine whether it is a function.
(2 points each)
Domain: ________________________
Range: ________________________
Circle one:
This relation
is
is not a function.
21. Find the value of the function if f ( x ) = x+2 and g ( x ) = 3x − 7 .
x−5
(2 points each)
a) f ( 4) = ________
b) f (5) = ________
c) g (8) = ________
d) g (−3) = ________
22. Use the graph of the function to find each.
(2 points each)
a) f (5) = ________
b) f (−3) = ________
c) What is the domain?