Multiple-Choice Exercise From the New York State Education Department. Grade 8 Intermediate Level Social Studies Test Internet. Available from http://www.nysedregents.org/Grade8/SocialStudies/home.html; accessed January 28, 2012.; All rights reserved. No commercial, for-profit use of this material is allowed. E-mail comments and questions to Tami Maloney.
Choose the correct answer for each question.
What is the radian measure of an angle whose measure is −420°?
What are the domain and the range of the function shown in the graph below?
The expression 2i2 + 3i3 is equivalent to
−2 − 3i
2 − 3i
−2 + 3i
2 + 3i
In △ABC, m∠A = 74, a = 59.2, and c = 60.3. What are the two possible values for m∠C, to the nearest tenth?
73.7 and 106.3
73.7 and 163.7
78.3 and 101.7
78.3 and 168.3
−30°
60°
150°
240°
The roots of the equation 2x2 + 7x − 3 = 0 are
Which ratio represents csc A in the diagram below?
w−7
w2
w7
w14
The principal would like to assemble a committee of 8 students from the 15-member student council. How many different committees can be chosen?
120
6,435
32,432,400
259,459,200
An amateur bowler calculated his bowling average for the season. If the data are normally distributed, about how many of his 50 games were within one standard deviation of the mean?
14
17
34
48
What is a formula for the nth term of sequence B shown below?
Which values of x are in the solution set of the following system of equations?
0, −4
0, 4
6, −2
−6, 2
The roots of the equation 9x2 + 3x − 4 = 0 are
imaginary
real, rational, and equal
real, rational, and unequal
real, irrational, and unequal
In △ABC, a = 3, b = 5, and c = 7. What is m∠C?
22
38
60
120
When x−1 − 1 is divided by x − 1, the quotient is
Which graph represents a one-to-one function?
The sides of a parallelogram measure 10 cm and 18 cm. One angle of the parallelogram measures 46 degrees. What is the area of the parallelogram, to the nearest square centimeter?
65
125
129
162
The minimum point on the graph of the equation y = f(x) is (−1,−3). What is the minimum point on the graph of the equation y = f(x) + 5?
(−1,2)
(−1,−8)
(4,−3)
(−6,−3)
What is the product of the roots of the equation x3 − 4x2 + x + 6 = 0?
−36
−6
6
4
What is the conjugate of −2 + 3i?
−3 + 2i
−2 − 3i
2 − 3i
3 + 2i
What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64?
Which two functions are inverse functions of each other?
