Algebraic Concepts – Quadratic Formulas & Equations – RIT 251 – 260
- Solve: 30x2 – 19x – 4 = 0
A.x = 4/5 or x = -1/6
- x = 2/3 or x = -1/5
- x = 2/3 or x = 1/5
- x = -4/5 or x = 1/6
- x = 2/5 or x = 1/3
- Given: ax2 + bx + c = 0
Solve for x.
- x =
- x =
- x =
- x =
- x =
- Given: 3x2 + 4x + 2 = 0.
Find the discriminant of the equation and describe the possible roots.
A.–16, 2 complex roots
B.–16, 2 real roots
C.–8, 2 real roots
D.–8, 2 complex roots
E.0, 1 real root
- Given: x2 – x – 4 = 0
Solve for x.
A. x =
- x =
- x =
- x =
- x =
- Graph the following:
f(x) = x2 – x – 20
Algebraic Concepts – Solving Equations & Inequalities – RIT 251 – 260
6. Solve the following inequality.
6 – 3 (2x + 1) < 12
- x > -
- x <
- x > -
- x < -
- x < -
7. What is the multiplicative inverse of 0.2?
A.1
- 10
- –0.2
- 0
E.5
8. Given:
A.
B.
C.
D.
E.
9. Solve for r:
82r = 32
A. r =
- r =
- r =
- r =
- r = 2
10. Simplify the following:
A.
B.
C.
D.
E.
11. Given points (-7,11), (4,-1), determine the equation of the line that passes through these two points.
A. y + 1 =
- y – 4 =
- y + 1 =
- y – 4 =
- y – 1 =
12. Find the slope of the given line.
A.m =
B.m =
C.m = -1
D.m =
E.m = -7
13. Find the equation of the line with slope -, and contains the point (-3,0).
A.y =
B.y =
C.y =
D.y =
E.y =
14. Simplify:
A.
B.
C.
D.
E.
15. Find the solution set for the following inequality.
A. {}
- {}
- {}
- {}
- {}
16. Which of the following equations represents a parabola?
A.
B.
C.
D.
E.
17. Simplify
A.
B.
C.
D.
E.
18. Simplify:
A.506,260,776
B.4,218,840
C.634,410
D.636,006
- 505,624,770
19. Which system of linear equations has one unique solution?
A. Consistent, Independent
- Consistent, Dependent
- Inconsistent
- Inconsistent, Independent
- Inconsistent, Dependent
20. Find the product: (2x – 3y)3
A.
B.
C.
D.
E.
Algebraic Concepts – Trigonometry – RIT 251 – 260
21.
What are sin A and cos A?
- sin A = , cos A =
- sin A = , cos A =
- sin A = , cos A =
- sin A = , cos A =
- sin A = , cos A =
22. Given : f(x) = 3log5 (x + 2)
Find: f(23)
A.6
- 2
- 75
- 8
- 15
Computation – Integers – RIT 251 – 260
23. Solve for x:
5 (x – 2) = 2x – (6 – x)
A.2
- –2
- 1
- 4
- –8
24. Evaluate.
3 [6 – 2 (7-32)2 ]
A.–6
- 42
- –78
- 48
- -14
Geometry – Congruency and Similarity – RIT 251 – 260
25.
Two ladders are leaning against a building as shown in the diagram. Find the missing length.
- 15
- 18/5
- 54/5
- 10
- 10/3
Geometry – Properties and Terminology – RIT 251 – 260
26. Identify the line with the positive slope.
A.c
- a
- b
- d
- e
27. Identify which answer represents a plane in the above figure.
A.ABCG
B.AB
C.AFGD
D.ED
E.FHCD
28. Identify the midpoint of line segment BH.
A.F
B.A
C.D
D.E
- G
29. In which of the following diagrams does segment AB represent a perpendicular bisector?
A.
B.
C.
D.
E.
30. Which property of a parallelogram applies only to the rhombus?
A.Diagonals are perpendicular to each other.
B.Opposite angles are congruent.
C.Consecutive sides are congruent.
D.Consecutive angles are supplementary.
E.Diagonals do not bisect each other.
Geometry – Symmetry and Transformations – RIT 251 – 260
31. L S
The result of reflecting the letters LS about the given line is:
A.
B.
C.
D.
E.
Measurement – Angle Identification and Measure – RIT 251 – 260
32.Which of the following lengths of segments could be used to form a triangle?
A.5, 6, 10
- 5, 6, 11
- 5, 6, 12
- 6, 10, 16
- 6, 10, 20
Measurement – Area, Perimeter, Circumference – RIT 251 – 260
32. A circle is inscribed in a square. The points of tangency are (-2,7), (2,3), (6,7), and (2,11). Find the area of the circle.
- 50.27
- 201.06
- 12.57
- 153.94
- 113.10
Measurement – Length, Weight, Volume – RIT 251 – 260
33. Find the volume of a cone with a radius of 5” and a height of 12”.
A.100π
- 300π
- 20π
Number Sense and Numeration – Exponents – RIT 251 – 260
34.Solve:
8-2 =
- –64
- 0.64
C.1/64
- –16
- 16
Problem Solving – RIT 251 – 260
35.
Given a square of side 1.5 enclosed in a larger square as shown in the diagram.
Find the ratio of the side of the larger square to its area.
A.
B.
C.
D.
E.
36. A geometric sequence starts with the terms -2, 6, -18, … What is the eighth term of this sequence?
A.4,374
- –4,374
- –1,458
- –13,122
- 1,458
37.
Length = 2x
Given a rectangle of perimeter 70, as shown in the diagram.
What is the ratio of the width to the length of this rectangle?
A.3/4
- 11/16
- 4/3
- 5/2
- 2/5
38. The lengths of the sides of a quadrilateral are consecutive even integers. Twice the length of the shortest side plus the length of the longest side is 240 inches. Find the length of the longest side.
A.84 inches
- 82 inches
- 80 inches
- 86 inches
- 88 inches
39. At the beginning of your trip you had a number of quarters. On your first stop, you spent half of them. On your second stop, you spent one third of the remaining quarters. On your third stop, you spent 4 quarters, and on your last stop, you spent half of the remaining quarters and then lost 2 more. You have 3 quarters left. How many quarters did you start with?
A.42
- 60
- 40
- 48
- 54
40. To find the volume of a cone you must use:
A.
B.
C.
D.
E.
41. A = 3 -1 B = 5 0
2 7 2 -3
Calculate AB?
A. 13 3
24 -21
B. 15 0
4 -21
C. 15 -5
0-23
D. 0 -23
-5
E. 24 -21
133
Statistics/Probability and Graphing – Graphing – RIT 251 – 260
42. Given two points on a line, find the linear equation for that line.
(-1,2) (-2,5)
- y – 2 = -3(x + 1)
- y + 2 = -3(x – 1)
- y – 2 =
- y + 1 = -3(x – 2)
- y + 2 =
43. Calculate the area of figure ABCD formed by the vertices A(-5,3), B(1,3), C(4,-1), D(-2,-1).
A.24 square units
- 30 square units
- 12 square units
- 20 square units
- 18 square units
44.
The figure in the diagram is rotated 180˚. What is the new coordinate for point (x,y)?
- (-x,-y)
- (-x,y)
- (x,-y)
- (y,x)
- (-y,-x)
45.
What is the line of symmetry of line m?
- y = -x
- y = x
- y = 0
- x = 0
- line n
Statistics/Probability and Graphing – Probability and Prediction – RIT 251 – 260
46.
A fair die is rolled 36 times. How many times should the number 4 be expected to come up?
A.6
- 4
- 2
- 9
- 8