Basic/Intermediate Algebra
Solve for x: x + 5 = 17
x = 12
Find the perimeter of a rectangle with a length of 8 units and a width of 5 units
Perimeter = 2 * (length + width) = 2 * (8 + 5) = 26 units.
Simplify: 12 / 4 + 5
8
Multiply: 2/5 * 3/4
3/10
What weights more, one 16 ounce block or 2 half pound blocks?
They weigh the same
Simplify the expression: 2(x + 3) - 4
2x + 2
Calculate the area of a square with side length 6 units.
Area = side length * side length = 6 * 6 = 36 square units.
Calculate: 2^3 - 6
2
Add: 1/3 + 1/4
7/12
If a father has 8 sons, and each son has a sister, how many children does he have?
9 children – 8 sons, and 1 daughter
If 2x - 7 = 11, find the value of x
x = 9
Find the area of a trapezoid with bases of lengths 8 units and 12 units, and a height of 6 units. (A = (a+b)/2*h)
Area = 60 square units
Calculate: 2 * (5 - 3)^2
8
Subtract: 5/6 - 1/2
1/3
A 400-foot train travels 400 feet per minute. It goes through a 400-foot tunnel. How long does it take for a train to travel through the tunnel?
Two minutes
Solve the equation: 2(x + 4) + 3 = 9x + 4
x = 1
In a right triangle, the two legs are 3 units and 4 units long. Find the length of the hypotenuse.
Hypotenuse length = √(3^2 + 4^2) = √(9 + 16) = √25 = 5 units.
Calculate: (4^2 + 3 * 5 + 5) / (6 - 2)
9
Write 41/12 as a mixed number
3 5/12
If you count 4 years, how many days will there be altogether?
1461 days. 365 X 4 + 1= 1461 as one of the years is a leap year
Solve for x: (3x + 1)/2 = 8
x = 5
A circle has a radius of 7 units. Find its circumference. (C = 2*3.14*r)
Circumference = 2 * π * radius = 2 * 3.14159 * 7 ≈ 43.9823 units.
Calculate: (10 - 4) * 3 + 8 / 2
22
A rectangle has an area of 8 1/3 cm2 . If the width of the rectangle is 2 1/2 cm, what is the length?
3 1/3 cm
Lilies in a pond double in size everyday. In 48 days they will fill the pond. How many days for them to fill half the pond?
47