Basic Algebra
What is the value of x in the equation 2x + 5 = 11?
x = 3
What is the formula for the area of a triangle?
Area = 1/2 * base * height
Find the sine of an angle in a right triangle with opposite side 3 and hypotenuse 5.
sin(theta) = opposite/hypotenuse = 3/5
What is the probability of rolling a 6 on a fair six-sided die?
1/6 or approximately 0.167
What is the prime factorization of 36?
36 = 2^2 * 3^2
Solve for y in the equation 3y - 7 = 14.
y = 7
Calculate the perimeter of a square with side length 5 units.
Perimeter = 4 * side length = 20 units
Calculate the cosine of an angle in a right triangle with adjacent side 4 and hypotenuse 5.
cos(theta) = adjacent/hypotenuse = 4/5
If there are 10 red marbles and 5 blue marbles in a bag, what is the probability of drawing a red marble?
P(red) = 10/(10+5) = 2/3 or approximately 0.667
Find the greatest common divisor (GCD) of 24 and 36.
GCD(24, 36) = 12
Simplify the expression 4(2x + 3) - 5.
8x + 7
Find the volume of a cube with side length 3 units.
Volume = side length^3 = 27 cubic units
What is the tangent of an angle in a right triangle with opposite side 2 and adjacent side 3.
tan(theta) = opposite/adjacent = 2/3
A spinner is divided into 6 equal sections, with 2 sections marked "win" and the rest marked "lose." What is the probability of winning?
P(win) = 2/6 = 1/3 or approximately 0.333
What is the least common multiple (LCM) of 8 and 12?
LCM(8, 12) = 24
Factor the equation x^2 - 4.
(x+2)(x-2)
What is the formula for the circumference of a circle?
Circumference = 2 * pi * radius
Find the secant of an angle if the cosine is 3/5.
sec(theta) = 1/cos(theta) = 5/3
DAILY DOUBLE: If a card is drawn from a standard deck of 52 cards, what is the probability of drawing a heart?
P(heart) = 13/52 = 1/4 or 0.25
Determine if 101 is a prime number.
101 is a prime number
Solve the equation 2(x+4) = 16.
x = 4
Calculate the area of a circle with radius 4 units.
Area = pi * radius^2 = 16pi square units
Calculate the cotangent of an angle if the sine is 4/5.
cot(theta) = 1/tan(theta) = 3/4
Two dice are rolled. What is the probability of rolling a sum of 7?
There are 6 outcomes that sum to 7 out of a total of 36 outcomes, so P(sum of 7) = 6/36 = 1/6 or approximately 0.167
Find the last digit of 7^123.
The last digit of 7^123 is 7