Linear Equations
x+2y = 3
x = y
What is x?
1
Use difference of squares to calculate:
15^2 - 13^2
56
Ananya has 3 apples. Anisha has three times the number of apples as Ananya. How many apples does she have?
9
What is the area of a square with side length 15?
225
3x+y = 5
2x - y = 10
What is y?
-4
Calculate:
10^2 + 2*10*3 + 3^2
(Don't calculate this manually)
169
What is the mode of the following set of numbers:
1,1,1,2,3,3,4
1
What is the area of a rhombus with diagonals 5 and 10. What is the area of rhombus?
25
x+y = 2
2x + 3y = 4
What is x?
2
Simplify/calculate:
5^2 - 2*5*3 + 3^2
4
The average test score of a class of 20 students is 80. When one student is removed, the average is now 79.
What is that student's test score?
99
Volume of a sphere with radius 3
Express your answer in terms of pi
36pi
x+y = 3
What is x?
3
x^2 + y^2= 25
xy = 12
What is x+y?
There are some dogs and birds in a room.
There are a total of 20 heads in the room, and 60 legs in the room. How many dogs are there?
(Dogs have four legs and birds have two legs)
10
John wants to fill a cube shaped glass of side length of 3. How much water should he pour into the glass?
27 m^3
-4+x+2x = 5
x+y = 10
What is y?
7
x^2+2xy + y^2 = 169
x-y = 1
What is y?
Anisha removes three marbles from a bag. Later in the day, Ananya puts 15 of her marbles in the bag. Three days later, Anisha adds a marble to the bag. There are now 30 marbles in the bag. How many marbles were in the bag originally?
17
What is the coefficient of x^2 in the following polynomial
x^3 - x + 2 = 0
0