Question 313354: 1. Find the distance between the points (12, 8) and (4, 2).
1. 100 units
2. 14 units
3. 10 units
4. –10 units
2. Find the midpoint of the points (3, 1) and (7, –5).
1. (1, 6)
2. (2, 1)
3. (2, –3)
4. (5, –2)
3. Find the vertex and focus of the parabola whose equation is 4y = x2 + 4.
1. V(0, 4), F(0, 3)
2. V(0, 1), F(0, 2)
3. V(4, 0), F(3, 0)
4. V(1, 0), F(2, 0)
4. Find the center and radius of the circle whose equation is x2 + 10x + y2 = 75.
1. C(–10, 0), r = 100
2. C(–10, 0), r = 10
3. C(–5, 0), r = 100
4. C(–5, 0), r = 10
5. Find the foci of the ellipse with the following equation.
1. F1(5, –2), F2(–3, –2)
2. F1(1, 2), F2(1, –6)
3. F1(4, –2), F2(–2, –2)
4. F1(1, 1), F2(1, –5)
6. Find the slopes of the asymptotes of a hyperbola with the following equation.
1. 8/9
2. 9/8
3. 8/9, –8/9
4. 9/8, –9/8
7. Identify the type of equation presented in x2 + y2 – 4x + 12y – 6 = 0.
1. parabola
2. circle
3. ellipse
4. hyperbola
8. Solve the following system of equations.
x2 + y2 = 64
x2 + 64y2 = 64
1. (8, 0), (–8, 0)
2. (0, 8), (0, –8)
3. (8, 0)
4. (0, –8)
9. Find f(–2) for f(x) = –x3 – 2x2 + 7x + 1.
1. –1
2. –6
3. –13
4. –29
10. Identify the factors of the polynomial x3 + x2 – 14x – 24.
1. (x – 2)(x + 2)(x + 6)
2. (x + 2)(x + 3)(x – 4)
3. (x + 1)(x – 3)(x + 8)
4. (x – 1)(x + 4)(x + 6)
11. Identify all rational zeros of the polynomial function f(x) = x3 + 2x2 – 5x – 6.
1. –1, 2, –3
2. –1, –2, 3
3. 1, –2, –3
4. 1, 2, 3
12. Identify all zeros of the polynomial function f(x) = x4 – 9x3 + 24x2 – 6x – 40.
1. –2, 4, 1 – i, 1 + i
2. –2, 4, 2 – i, 2 + i
3. –1, 4, 2 – i, 2 + i
4. –1, 4, 3 – i, 3 + i
13. Find f(g(–2)) if f(x) = 4x + 5 and g(x) = x2 – 1.
1. 8
2. 17
3. 12
4. 21
14. Identify the inverse of the function f(x) = –7x + 2.
1.
2.
3.
4.
15. Find the equations of the vertical and horizontal asymptotes for the graph of the rational function with the following equation.
1. x = 1, x = –5, y = 1
2. x = 1, x = –5, y = 0
3. x = –1, x = 5, y = 1
4. x = –1, x = 5, y = 0
16. If y varies inversely with x, and y = 6 when x = 18, find y when x = 8.
1. 13 ½
2. 2 ⅔
3. 12
4. 24
17. If y varies jointly as x and z, and y = 60 when x = 10 and z = –3, find y when x = 8 and z = 15.
1. –240
2. –120
3. –15
4. –9.6
18. Simplify the following expression.
1.
2.
3.
4.
19. Simplify the following expression.
1.
2.
3.
4.
20. Solve the following equation.
1. no solution
2. –2
3. 3
4. 3, –2
21. Chase can do a job in 4 hours, while Campbell can do the same job in 2 hours. How long will it take the two of them to do the job together?
1. 6 hours
2. 3 hours
3. 2 ⅔ hours
4. 1 ⅓ hours
22. Solve the equation 4(x + 2) = 8(x – 1).
1. 4
2. 5
3. 7
4. 8
23. Solve the equation log8 (x2 + 4x) = log8 12.
1. 2
2. 6
3. –2, 6
4. 2, –6
24. Solve the equation log2 3 = log2 (7x – 8) – log2 x.
1. no solution
2. 1
3. 2
4. 4
25. Find the antilogarithm of 1.7.
1. .2304
2. .5306
3. 5.47
4. 50.12
26. Solve the equation ln x = 2. Round the answer to four decimal places.
1. 7.3891
2. .3010
3. .6931
4. 100
27. Solve the equation 8(x – 2) = 5x. Round the answer to three decimal places.
1. 9.578
2. 8.850
3. 5.293
4. 6.147
Answer by Fombitz(32388)   (Show Source):
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