Properties
N * 1 = N
Identity Property of Multiplication
Simplify:
8a + 7 - 11a
-3a + 7
is this a true, false, or open sentence?
x - 10 + 42
open sentence
x > 5
look at board
Solve the inequality.
n - 4 > 10
n > 14
the property represented by:
4 * 5 = 5 * 4
commutative property of multiplication
Simplify: x + 6 - 4x + 3
9 - 3x
Solve the equation.
3x = -15
x = -5
Graph this inequality:
x < -2
look at board
m/3 < -2
m < -6
the property represented by:
(pq)r = p(qr)
associative property
simplify:
3(w + 3) + 4w
7w + 9
m/9 = 3
m = 27
Write an inequality:
the temperature T is less than zero degrees.
T < 0
solve the inequality.
-d > 14
d < -14
use the distributive property to simplify:
12 (2 + 4a)
24 + 48a
simplify:
10 + 7k - 2(3k + 5)
k
- 2 = a - 10
a = 8
Write an inequality:
the height H is greater than 12 feet
H > 12
solve the inequality.
c/-4 > -9
c < 36
use the distributive property to simplify:
-7(6 - 2M)
-42 + 14M
simplify:
-7(2r - 1) + 3 (8 - r)
-17r + 31
The admission price to an art museum increased by $1.75 to $6.50. If x is the admission price, write an equation to model this situation.
p + 1.75 = 6.50
Write an inequality:
the product of x and 5 is less than or equal to 25
5x < 25
2k - 4k < 10
k > -5