Algebros
If 3x - 7 = 11, what is the value of x?
x = 6
The perimeter of a square is 48 inches. What is the length of one side of the square?
12 inches
A car travels 150 miles in 3 hours. At the same rate, how far will the car travel in 5 hours?
250 miles
If 5% of a number is 12, what is the number?
240
What is greater: 3/5 or 2/3?
2/3
If the product of two consecutive integers is 56, what is the larger number?
8
A rectangular garden measures 30 feet by 40 feet. A path of equal width is built around it, increasing the total area to 1,369 square feet. What is the width of the path?
4.5 feet
Considering 4 gallons of paint can cover a wall of 6 square feet, how many gallons of paint can cover 15 square feet?
10 gallons
Given that 1/6 of 1/4 of a number is 10, what is the original number?
240
The ratio of boys to girls in a class is 3:4. If there are 56 girls in the class, how many boys are there?
24
Solve the following system of equations:
3x + 5y = 10
12x + 15y = 30
x = 0, y = 2
A triangle has two angles that measure 45 degrees and 90 degrees. What is the measure of the third angle?
45 degrees
What are the next 3 terms in the following sequence:
1, 4, 9, 16, 25...
36, 49, 64 (perfect squares)
What is the different in price between the two shirts:
Shirt A: Initially $48, went through a 15% discount, then another 20% discount.
Shirt B: Initially $48, went through a 20% discount, then another 15% discount.
$0; they are the same price
On a map, 1 inch is 5 miles, and two cities are 4 inches away from each other. How far are they from each other in real life?
20 miles
Solve the following system of equations:
4x + 6y = 10
8x + 12y = 30
Trick question! No solution
A cylinder has a radius of 3 inches and a height of 4 inches. What is the volume of the cylinder?
36π cubic inches
The sum of the ages of a mother and her daughter is 66 years. 22 years ago, the mother was 5 times as old as her daughter. How old is the daughter now?
24 years
What is 1/6 as a repeating decimal?
0.16̅
Given that a/b is 4/5, & b/c is 3/2, what is a/c?
6/5
LeBron has a number. He doubles it, and then adds three to it. He doubles it again, and he has 26. What was his original number?
5
A cube has a volume of 8 cubic inches. The side length is now doubled. What is its new volume?
64 cubic inches
There are 10 people in a party of different heights, and every person only wants to shake hands with another person shorter than them. How many handshakes take place?
None
What are the next 3 terms in the following sequence: 1/3, 2/9, 3/27, 4/81, ...?
5/243, 6/729, 7/2187
The ratio between the side lengths of two squares is 1:3. If the area of the first square is 8 square inches, what is the area of the second square?
72 square inches