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College Algebra & Trigonometry Final
Fall 2018 Final Exam
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Name: Date:
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1 point
Your answer
1. Which statement below is true about relations and functions. Select all that apply (A2.IF.A.1).
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1 point
all relations are functions
all relations are not functions
all functions are relations
all functions are not relations
all functions are relations, but not all relations are functions
Other:
2. Identify the slope and y-intercept of the equation and then graph it on separate graphing paper y = 3/4x + 2 (A2.REI.A.1).
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1 point
m = -1/2; y-intercept = 2
m = -3/4; y-intercept = -2
m = 3/4; y-intercept = 2
m = 4/3; y-intercept = 1/2
Other:
3. Write the equation of the line in slope-intercept form that passes through the given points (2, 0) & (4, 6) (A1.CED.A.2).
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1 point
y = -3x + 6
y = 3x + 6
y = 6x + 3
y = 3x - 6
4. Find the slope between the two points (-1, 8) & (5, -2) (A1.CED.A.2).
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1 point
m = 5/8
m = 5/3
m = -5/3
m = -5/8
5. Write the equation of the line that passes through the given point (4, -2) with the given slope (m=1/2) using point-slope form (A1.CED.A.3).
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1 point
y + 2 = 1/2x - 4
y + 2 = -1/2x - 4
y - 2 = 1/2x + 4
y - 2 = -1/2x + 4
6. Write the equation of the line that passes through the given point (-2, 5) with the given slope (m=-3) using slope-intercept form (A1.DS.A.6).
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1 point
y = 3x + 1
y = -3x + 1
y = -x - 1
y = -3x - 1
7. Find the zero of the function f(x) = 5x - 6 and then identify the coordinate point. (A1.LQE.A.3)
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1 point
(0, -6/5)
(6/5, 0)
(-6/5, 0)
(0, 6/5)
8. Determine the x- and y-intercepts of the equations x + 3y = 24
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1 point
x = 24; y = 8
x = -24; y = -8
x = 24; y = 1/3
x = 1/3; y = 24
9. Write the equation in standard form y = 4x - 5 (A1.CED.A.3)
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1 point
-4x + y = -5
4x + y = 5
x + y = -5
-4x + y = 5
10. If 3x + 9y = 15 and y = mx - 4 are parallel lines. What is the value of m?(A1.DS.A.6)
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1 point
m = 1/3
m = -1/3
m = -3/9
m = 3/9
11. Write the equation for the line that passes through the given point (1, 7) and is perpendicular to the given line x - 4y = 8.(A1.LQE.A.3)
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1 point
y = -4x + 11
y = 4x + 11
y = 11x + 4
y = -11x + 4
12. Find the solution to the system of equations in two variables and then identify the solution as consistent and independent, consistent and dependent, or inconsistent. (A1.REI.B.3)
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1 point
consistent & independent (-3, 5)
inconsistent
consistent & independent (3, 5)
consistent & independent (3, -5)
consistent
consistent & dependent (3, 5)
Other:
13. Which graph represents the graph y < x - 6 (A2.REI.B.3).
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1 point
Option 1
Option 2
Option 3
Option 4
Other:
14. What inequality is shown in the graph? (A2.REI.B.3)
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1 point
y > 2x - 4
y ≥ 2x - 4
y < 2x - 4
y ≤ 2x - 4
16. Plot the data in the x and y table and determine the association (use separate paper and plot the points to determine solution). (A1.DS.A.5)
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1 point
Strong negative association
Strong positive association
Weak negative association
Weak positive association
17. Identify the slope and y-intercept of the line graphed below. (A1.CED.A.2)
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1 point
m = 1; y-intercept = 1
m = -2; y-intercept = 1
m = -1; y-intercept = 1
m = 2; y-intercept = 1
18. Identify the domain and range of the relation {(4, 1), (2, 3), (0, 4), (5, 3)} (A1.IF.A.2)
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1 point
D=4,1,3,0; R=5,2,1,4
D=4,2,0,5; R=1,3,4
D=4,1,2,3; R=0,4,5,3
D=1,2,3,4; R=1,2,3,4
19. Is the relation a function? x = -5, 0, 1, 2, 4 & y = -5, -2, 0, 2, 3 (A1.IF.A.2).
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1 point
True
False
20. Does the graph represent a function? (A1.IF.A.2)
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1 point
Does the graph represent a function?
True
False
21. In the linear equation y=mx + b the b value represents? (A1.CED.A.2)
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1 point
the point (0, b)
y-intercept
where the graph crosses the y-axis
slope
22. Which graph below represents the solution for the absolute value equation 56 ≥ 7 I 5 – b I?(A1.REI.A.1)
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1 point
Option 1
Option 2
Option 3
Other:
23. What are the possible solutions a system of equations in two variables? Select all that apply. (A1.CED.A.3)
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1 point
no solution
one solution
infinitely many solutions
two solutions
24. What is the solution to the systems of equations using substitution? y = 2x - 1 and 4x + y = -7 (A1.CED.A.3).
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1 point
(3, -1)
(-1, -3)
(3, 1)
(-3, -1)
(-1, 3)
Other:
25. What's the solution for the system of equations in three variables? (A1.CED.A.3)
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1 point
(9, 2, 3)
(9, -3, 5)
(-9, 3, -5)
(-9, 3, 5)
(-9, 5, -3)
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