What is the solution set of the equation x2 - 1 = 0 in the real numbers?
{1 }
emptyset
{-1 }
{-1, 1}
What is the formula for the sum of interior angles of a polygon with n sides?
(n − 2) × 180°
( n + 2) × 180°
n ÷ 180°
n × 180°
Which of the following sets represents the union of rational and irrational numbers?
The set of integers
The set of real numbers
The set of natural numbers
The set of positive numbers
Which of the following graphs is used to determine the value of the mode?
Pie chart
Cumulative frequency curve (descending)
Cumulative frequency curve (ascending)
Histogram
What is the greatest common factor (GCF) of 5x + 10 ?
x
5
10
5x
What is the mode of the values 5, 8, 5, 3, 5?
3
26
8
If x is an integer such that x < √29 < x + 1, what is the value of x ?
6
4
7
If a + b = 5 and ab = 6 , what is the value of a3 + b3 ?
125
30
95
35
If a + b = 25 and c - d = 5 , what is the value of ac - ad + bc - bd ?
75
115
Which interval represents the set of real numbers x such that 2 ≤ x < 5
[2, 5]
(2, 5)
(2, 5]
[2, 5)
According to the Pythagorean Theorem, what does the area of the square constructed on the hypotenuse equal?
Half the area of the other two squares
Twice the area of the other two squares
The difference of the areas of the other two squares
The sum of the areas of the other two squares
What is the value of (√2)³?
2
2√2
What is the simplified form of (a 2) 3 ?
a6
a 5
a 9
a8
What value of k makes the expression x2 + kx + 9 a perfect square?
9
12
What is the position of the median if the total frequency is 150?
50
150
100
Which statistical measure is most affected by the presence of outliers?
Standard deviation
Mode
Median
Mean
What is the result of factoring the difference of two cubes x3 - 8 ?
(x - 2)(x + 2)
(x + 2)(x2 - 2x + 4)
(x - 2)^3
(x - 2)(x2 + 2x + 4)
What symbol is used to represent the sum of frequencies in statistics?
L
n
M
If (x - 1) is a factor of x2 - 1 , what is the other factor?
(x + 1)
(x + 2)
(x - 2)
(x - 1)
Which of the following numbers is an irrational number between 2 and 3?
√2
√10
√7
√3
If the lower limit of a class is 15 and its midpoint is 17.5, what is the class width?
2.5
15
How many diagonals does a pentagon have?
What is the sum of the exterior angles of any convex polygon?
90°
180°
540°
360°
What is the midpoint of a class whose lower limit is 10 and upper limit is 20?
25
20
What is the measure of the exterior angle of an equilateral triangle?
60°
120°
What is the additive inverse of the real number (√7 − 7)?
0
√7 + 7
7- √7
−(√7 − 7)
What is the value of the cube root of −125?
−25
−5
What is the algebraic expression x 2 + 10x + 25 called?
Perfect cube
Difference of two squares
Perfect square
Unsimplified expression
In what ratio does the centroid divide each median of a triangle from the base?
2 : 1
3 : 1
1 : 3
1 : 2
How many sides does a polygon have if the sum of its interior angles is 1980°?
13
11
If the midpoint of a class is 15.5 and its upper limit is 18, what is its lower limit?
12.5
14
What is the factorization of the trinomial x2 + 5x + 6 ?
(x + 1)(x + 6)
(x - 1)(x - 5)
(x - 2)(x - 3)
(x + 2)(x + 3)
What is the relationship between the length of the median drawn from the right angle and the hypotenuse in a right triangle?
Half of its length
One quarter of its length
Twice its length
Equal to it
If 2 x-1 = 1 , what is the value of x ?
1
1-
If the volume of a cube is 27 cm3 , what is the length of its edge?
81
What is the numerical value of 3-1 ?
-1/3
1/3
-3
What is the multiplicative inverse of √2 ?
-2
1/ √2
What is the arithmetic mean of the values 4, 6, 8, and 10?
28
What is the measure of each interior angle of a regular hexagon?
108°
135°
If the area of a square is 16 cm2 , what is the length of its side?
What is the correct method for calculating the arithmetic mean of a set of values?
Divide the largest value by the smallest
Multiply values by their frequencies
Subtract the smallest value from the largest
Divide the sum of values by their number n
What is the relationship between the base angles of an isosceles triangle?
Different
Complementary
Supplementary
Congruent
What is the sum of √3 + √3 in simplest form?
2√6
√6
2√3
What is the correct factorization of the expression x 2 – 9 ?
(x - 3)(x - 3)
(x + 9)(x - 9)
(x - 3)(x + 3)
(x + 3)(x + 3)
How many lines of symmetry does an equilateral triangle have?
What formula is used to calculate the volume of a cube with edge length L ?
L2
2L
L3
3L
What type of triangle has side lengths 6, 8, and 10?
Isosceles triangle
Obtuse triangle
Right triangle
Acute triangle
If (AC) 2 = (AB) 2 + (BC) 2 in a triangle, what is the type of angle B ?
Straight
Right
Obtuse
Acute
What element represents the additive identity in the set of real numbers?
pi
-1
Which polygon has the same number of sides as diagonals?
Hexagon
Quadrilateral
Triangle
Pentagon