# College Alegbra Assignment

College Alegbra Assignment
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Q1. An experienced bank auditor can check a bank’s deposits twice as fast as a new auditor.
Working together it takes the auditors 4 hours to do the job. How long would it take the
experienced auditor working alone?
a. 12 hr
b. 8 hr
c. 4 hr
d. 6 hr
Q2. Write the standard form of the equation of the circle with radius r and center (h, k).
r = 12; (h, k) = (5, 0)
a. x2 + (y + 5)2 = 12
b. x2 + (y – 5)2 = 12
c. (x – 5)2 + y2 = 144
d. (x + 5)2 + y2 = 144
Q3. Find an equation for the line with the given properties. Express the answer using the slopeintercept
form of the equation of a line.
Slope = 0; containing the point (-8, -1)
a. y = -1
b. x = -8
c. y = -8
d. x = -1
Q4. Write the expression in the standard form a + bi.
If w = 9 + 4i, evaluate w – .
a. 0
b. 18
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c. -18 + 8i
d. 8i
Q5. 4 – i is a solution of a quadratic equation with real coefficients. Find the other solution.
a. -4 – i
b. 4 + i
c. -4 + i
d. 4 – i
Q6. Find an equation for the line with the given properties. Express the answer using the slopeintercept
form of the equation of a line.
Slope = -2; y-intercept = -15
a. y = -2x – 15
b. y = -2x + 15
c. y = -15x – 2
d. y = -15x + 2
Q7. Find the real solutions of the equation.
x4 – 625 = 0
a. {-25, 25}
b. {-5, 5}
c. {- , }
d. no real solution
Q8. Write the general form of the equation of the circle with radius r and center (h, k).
r = 2 ; (h, k) = (4, -4)
a. x2 + y2 + 8x – 8y + 20 = 0
b. x2 + y2 + 8x + 8y + 20 = 0
c. x2 + y2 – 8x – 8y + 20 = 0
d. x2 + y2 – 8x + 8y + 20 = 0
Q9. Translate the sentence into a mathematical equation. Be sure to identify the meaning of all
symbols.
The volume of a right prism is the area of the base times the height of the prism.
a. If V represents the volume, B the area of the base, and h the height, then
b. If V represents the volume, B the area of the base, and h the height, then
c. If V represents the volume, B the area of the base, and h the height, then
d. If V represents the volume, B the area of the base, and h the height, then
Q10. Find an equation for the line with the given properties. Express the answer using the general
form of the equation of a line.
Perpendicular to the line -4x + 5y = -23; containing the point (-3, 7)
a. -3x – 5y = -23
b. -4x – 5 = -4
c. -5x + 4y = -13
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d. -5x – 4y = -13
Q11. Solve the equation by the Square Root Method.
(2x + 3)2 = 25
a. {1, 4}
b. {-14, 14}
c. {-4, 1}
d. {0, 1}
Q12. Solve the equation.
= 1
a.
b.
c.
d. no real solution
Q13. Without solving, determine the character of the solutions of the equation in the complex
number system.
x2 + 5x + 8 = 0
a. a repeated real solution
b. two unequal real solutions
c. two complex solutions that are conjugates of each other
Q14. Find an equation of the line containing the centers of the two circles: x2 + y2 – 10x – 10y + 49
= 0 and x2 + y2 – 4x – 6y + 9 = 0
a. -2x – 3y + 5 = 0
b. 2x + 3y + 5 = 0
c. 8x – 7y + 5 = 0
d. 2x – 3y + 5 = 0
Q15. Find the real solutions of the equation by factoring.
2x – 5 =
a. {- , 3}
b. { , – }
c. {-2, 3}
d. {- , 2}
Q16. Find the real solutions of the equation by factoring.
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x2 – 49 = 0
a. {7}
b. {7, -7}
c. {49}
d. {-7}
Q17. Solve using the quadratic formula. Round any solutions to two decimal places.
x2 – 2 x = 3
a. {-0.21, 14.67}
b. {0.82, -14.67}
c. {-0.82, 14.67}
d. {0.21, -14.67}
Q18. Find an equation for the line with the given properties. Express the answer using the slopeintercept
form of the equation of a line.
Parallel to the line y = -3x; containing the point (2, 3)
a. y – 3 = -3x – 2
b. y = -3x – 9
c. y = -3x + 9
d. y = -3x
Q19. List the intercepts of the graph.
a. (0, -2), (0, 2)
b. (-2, 0), (0, 2)
c. (0, -2), (2, 0)
d. (-2, 0), (2, 0)
Q20. Find the slope and y-intercept of the line.
2x – 6y = 12
a. slope = – ; y-intercept = 2
b. slope = 2; y-intercept = 12
c. slope = ; y-intercept = -2
d. slope = 3; y-intercept = 6
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