Download 1. In the diagram of right triangle ABC, AB = 4 and BC = 7. What is

1. In the diagram of right triangle ABC, AB = 4 and BC = 7.
What is AC, to the nearest hundredth?
a. b. c. d. 5.74
5.75
8.06
8.08
2. What is the slope of the line containing points A(4, −1) and B(0, 2)?
a. b. c. −
d. −
3. Which linear equation represents the data in the accompanying table?
a. b. c. d. d = 1.50c
d = 1.50c + 20.00
d = 20.00c + 1.50
d = 21.50c
4. In the accompanying diagram, lines a and b are parallel, and lines c and d are transversals.
Which angle is congruent to angle 8?
a. b. c. d. 6
5
3
4
5. Which type of transformation is illustrated in the accompanying diagram?
a. b. c. d. dilation
reflection
translation
rotation
6. Solve the following system of equations for y:
2x + y = 12
−2x + 3 y = −4
a. b. c. d. 8
2
3
4
7. The best description of a dilation of a figure is
a. an enlargement or a reduction of the figure
b. a slide of the figure
c. a turning of the figure about some fixed point
d. a mirror image of the figure
8. What is the slope of the line whose equation is 3x − 4y − 16 = 0?
a. b. c. 3
d. −4
9. Which number is equal to 3.6 × 105?
a. 360,000
b. 3,600,000
c. 0.000036
d. 0.0000036
10. What is the measure of the largest angle in the accompanying triangle?
a. b. c. d. 41
46.5
56
83
11. If the legs of a right triangle have measures of 9 and 12, what is the length of the hypotenuse?
a. 5
b. 10
c. 15
d. 21
12. Solve for x: 4(2x - 1) = 2x + 35
a. 3.9
b. 6.5
c. 6
d. 39
13. In the diagram, transversal intersects parallel lines and at A and B, respectively.
If m ∠ RAN = 3x + 24 and m ∠ RBQ = 7x − 16, find the value of x.
a. b. c. d. 5
8.2
10
16.4
14. Solve the following system of equations algebraically and check:
2x + 3y = 11
5x − 2y = −20
The solution is: x = , y = .
15. What are the coordinates of the image of point (-1, 8) after a reflection in the origin?
a. (1, -8)
b. (-1, 8)
c. (-1, -8)
d. (-8, 1)
16. In which graph does line L have a negative slope?
a. c. b. d. 17. Which equation represents the line whose slope is and whose y-intercept is 5?
a. y = x + 5
b. y = 5x + c. y = x − 5
d. y = 5x − 18. If the hypotenuse of a right triangle is 6 and one leg is 5, the other leg is
a. b. 61
c. d. 11
19. What is the slope of line in the accompanying diagram?
a. −
b. −
c. d. 20. The measures of the three angles of a triangle are represented by x, 3x, and x + 30. Find the value of x.
a. 15
b. 30
c. 42
d. 65
21. If x and y are defined as indicated by the accompanying table, which equation correctly represents the relationship between
x and y?
a. b. c. d. y = x + 2
y = 2x + 2
y = 2x + 3
y = 2x - 3
22. In the diagram of ΔABC, the measure of exterior angle BCD is 120° and m ∠ BAC = 50.
Find m ∠ ABC.
a. b. c. d. 20
30
40
70
23. In the diagram, which triangle is the image of Δ2 after a reflection in the x-axis?
a. b. c. d. 1
2
3
4
24. Solve for x: 0.03x − 2.1 = 0.3
a. −6
b. −8
c. 8
d. 80
25. In the diagram, l1 || l2 || l3.
If m∠ 1 =70, find m∠ 2.
a. b. c. d. 20
70
100
110
26. What is the image of (-2, 5) after a reflection in the x-axis?
a. (2, 5)
b. (-2, 5)
c. (2, -5)
d. (-2, -5)
27. The line 3x - 2y = 12 has
a. a slope of and a y-intercept of -6
b. a slope of - and a y-intercept of 6
c. a slope of 3 and a y-intercept of -2
d. a slope of -3 and a y-intercept of -6
28. If the number 0.00048 is written in the form 4.8 × 10n , what is the value of n?
a. 4
b. –4
c. 5
d. –5
29. What is the slope of the line whose equation is y = 3x - 5?
a. -5
b. 5
c. 3
d. 3x
30. In the diagram, parallel lines l and m are cut by transversal t.
Which statement about angles 1 and 2 must be true?
a. b. c. d. ∠ 1 ≅ ∠ 2
∠ 1 is a complement to ∠ 2.
∠ 1 is a supplement to ∠ 2.
∠ 1 and ∠ 2 are right angles. 31. If the legs of a right triangle have measures of 9 and 12, what is the length of the hypotenuse?
a. 5
b. 10
c. 15
d. 21
32. Solve for x: 2(x + 1) = 3(4 - x)
a. -4
b. 2
c. -2
d. 4
33. The translation (x, y) → (x − 2, y + 3) maps the point (7, 2) onto the point whose coordinates are
a. (9, 5)
b. (5, 5)
c. (5, -1)
d. (-14, 6)
34. Which ordered pair is the solution set for this system of equations?
x + y = 8
y = x - 3
a. b. c. d. (2.5, 2.5)
(4, 1)
(4, 4)
(5.5, 2.5)
35. The NuFone Communications Company must run a telephone line between two poles at opposite ends of a lake, as shown
in the accompanying diagram. The length and width of the lake are 75 feet and 30 feet, respectively.
What is the distance between the two poles, to the nearest foot?
a. b. c. d. 105
81
69
45
36. What is the slope of the graph of the equation y = 2x − ?
a. b. 2
c. d. 2x
37. In which quadrant does the image of (-4, 1) lie after a reflection in the origin?
a. I
b. II
c. III
d. IV
38. In the accompanying figure, what is one pair of alternate interior angles?
a. b. c. d. ∠ 1 and ∠ 2
∠ 4 and ∠ 5
∠ 4 and ∠ 6
∠ 6 and ∠ 8
39. In the diagram, parallel lines and are intersected by transversal If m ∠ CHG = x + 20 and m ∠ DHG = 3x, find the value of x.
a. b. c. d. 17.5
40
50
90
at G and H, respectively
40. Write the equation for the line shown in the accompanying graph.
y = x +