-54 ÷ 6 x 7
-63
332 - 322
65
What is the sum of all the even numbers from 1 to 100?
2550
The ratio of two numbers is 8 : 13. If the larger number is 91, then what is the smaller number?
56
What is the 100th digit between 1 and 100?
5
Which of the following is not an irrational number?
(a) Pi
(b) Euler's Number (e)
(c) Golden Ratio
(d) None of the above
d
For what value(s) of x is |x| = 4?
x = -4 and x = 4
Find the cube root of 0.000000512.
0.008
Simplify: 5x3y4 divided by -15x2y5
x/(-3y)
What is the equation of the line that is parallel to the x-axis and that passes through (-1, -5)? (Write your answer in slope-intercept form.)
y = -5
If 93 = 729, then what is x in 3x = 729?
6
If x = -2, y = 5, and y2 - 2xy + x2 = z2, then what is |z|?
7
In a class of 50 students, 39 like basketball and 26 like badminton. How many like both sports?
15 students
The supplement of an angle is six times as large as the complement of the angle. What is the measure of the angle?
72o
-20 and -6
How many triangles does this figure have?
8 triangles
Find the area of an square with a side length of (x+5) cm?
x2 + 10x + 25 cm2
Twice the complement of an angle is 15 more than the measure of the angle. What is the measure of the angle?
55o
What is 40% of 50% of 60% of 80?
9.6
If 3x2 - 6x + k = 0, for what values of k does the equation have no real solution?
k > 3
Factor completely: 2x2 + 3x - 35
(2x - 7)(x + 5)
What is thirteen and one-twelfth less than thirteen and one-half? (Write you answer in words.)
five-twelfths
What is the remainder when x4+81 is divided by x+3?
162
Let x, y, and z be three consecutive odd integers such that the sum of x and y is equal to z + 1, and the sum of all 3 integers is 15. What is the value of z?
7
The length of the hypotenuse of a right triangle is 26 cm. If one leg is 14 cm longer than the other, find the length of the shorter leg.
10 cm