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