Equations
12 + a = 43
a = 31
10 + 8 x 3
34
Any number multiplied by "0" is equal to "0".
Property of Zero
With an ordered pair, which of the two numbers is the "y" number?
Second
If a square has a width of 5 inches, what is the area of the square?
25 inches squared
x - 24 = 37
x = 61
9 divided by 3^2 + 3
4
Any number plus 0 is equal to the same number or any number multiplied by 1 is equal to the same number.
Identity Property
How many quadrants are there on the coordinate plane?
4
If a rectangle has a height of 8 inches and a total area of 32 inches squared, what is the width of the rectangle?
4 inches
6x = 54
x = 9
72 divided by 2^3 x 2 - 8
10
This property tells us that it doesn't matter what order you add or multiply numbers.
Commutative Property
If the order pair is (-9 , -3), which quadrant will the point be located in?
Quadrant 3
If a triangle has a base of 9 inches and a height of 8 inches, what is the area of the triangle?
36 inches squared
x/7 = 3
x = 21
8 ( 2^4 divided by 8)^3
64
This property tells us that it doesn't matter how you "group" numbers when you add or multiply.
Associative Property
If the ordered pair is (7 , -5), which quadrant would the point be located in?
Quadrant 4
Area of Trapezoid A = h(b1 + b2)/2
Height = 6 in.
b1 = 8 in.
b2 = 12 in.
Area =
60 in. squared
5x + 2 = 37
x = 7
4 x 5 - 3 (5^2 x 4)
280
This property tells us we can reduce an expression if we take the number on the outside of a parentheses and multiply it by EACH number inside the parentheses.
Distributive Property
If I wanted to reflect the point (3 , 9) over the y-axis, what is the ordered pair of the reflected point?
(-3 , 9)
If the base of a triangle is 16 in. and a total area 64 inches squared, what is the height?
64 inches squared