Numbers, Numbers
Expressions
Linear Equations
Geometry
Random Formulas
100
The expression 3*3*3*3*3^2 rewritten as a base to a single power.
What is 3^6 ?
100
The simplified version of the expression:
85x+85x+85x+85x
What is 4(85x)=340x ?
100
The solution to the equation:
8x-10=2(4+3x)-10
What is 8x=8+6x-10+10
8x-6x=8
2x=8
x=4 ?
100
The area of a room with a length of 7 feet and a width of 9 feet.
What is 7*9=63 \text{ft}^2
100
The truth to the statement: The interior angles in a triangle sum to 180 degrees.
What is TRUE?
200
The expression evaluated at x=2 :
6x-2(x-3)
What is 6\cdot2-2(2-3)
12+2=14 ?
200
The simplified version of the expression:
(5+x)(6)
What is 6x+30 ?
200
The solution to the equation and its output value:
3x+10=2(x+6)+4
What is a solution of x=6 ?
What is an output of 3\cdot 6+10=18+10=28 ?
200
The perimeter of a basketball court if the length is 26 feet and the width is 18 feet.
What is P=26+18+26+18=52+36=88\text{ ft} ?
200
The distance between the points (8,9) and (3,-3) .
What is sqrt((8-3)^2+(9-(-3))^2)=sqrt(5^2+12^2)
sqrt(169)=13 ?
300
The answer to the following problems:
1) 7/4 *4/7
2) 8 *3/4
3) 1/3 \div 1/6
What is
1) (7*4)/(4*7)=(4/4)*(7/7)=1
2) 8/1*3/4=(8*3)/(4*1)=24/4=6
3) 1/3 \div1/6=1/3\times6/1=6/3=2
?
300
The algebraic expression represented by the statement: six times the sum of four and a number p.
What is 6(4+p) ?
300
The number of solutions that the following systems have:
3x-12=3x+1
7x-1=4x+8
-2(2x-3)=-4x+6
What is
1) No Solution
2) One Solution
3) Infinitely Many Solutions
?
300
The amount of unit cubes that can fit into a 12 inch cube. [Volume of a Cube]
What is V=s^3=12*12*12=12^3=1,728 \text{ in}^3 ?
300
The distance between the points (12,-7) and (3,5) .
What is sqrt((12-3)^2+((-7)-5)^2)=sqrt(9^2+12^2)
sqrt(225)=15 ?
400
The simplified form of the expression: (7^5/7^2)^2
What is (7^3)^2=7^(3*2)=7^6 ?
400
The perimeter of an isosceles triangle whose base has a length x and the two other sides are 63 units more than the base.
[ P=a+b+c ]
What is P=x+(63+x)+(63+x)=3x+126 ?
400
The solution to the system of equations:
y=-3x+4
y=3x-2
What is -3x+4=3x-2
6=6x
x=1
And so y=3x-2=3(1)-2=1
Thus, (1,1) ?
400
The Pythagorean theorem setup that represents the following picture.
What is l=\text{hypotenuse} , m \text{ and } n\text{ are legs}
Then l^2=m^2+n^2 ?
400
The unknown length in the right triangle.
What is 45^2=27^2+x^2 and so 2025=x^2+729 which if we solve for x we get x^2=1296
x=sqrt(1296)=36 ?
500
The solution for x:
8^x/8^5=8^7
What is 8^x/8^5=8^(x-5), and 8^(x-5)=8^7 and x-5=7 which gives x=12 ?
500
The algebraic expression represented by the statement:The area of a rectangle with a width of 5 units and a length that is x units greater than the width. [ A=l*w ]
What is A=5(x+5)=5x+25 ?
500
The solution to the system of equations:
3x-y=15
x+y=1
What is y=1-x and so 3x-(1-x)=15 . This simplifies into 3x-1+x=15 . Then x=4 . With y=1-x=1-4=-3
What is (4,-3) ?
500
4 Pythagorean triples.
What is of form a=m^2+n^2,b=2mn,c=m^2+n^2 ?
Or what is one of the following
500
The formula for finding the diagonal of a rectangular prism. [Length is l , width is w , height is h , diagonal is d ]
What is d^2=l^2+w^2+h^2 solved for d, which becomes d=sqrt(l^2+w^2+h^2) ?