Combining like terms
3x + 14x + 2 = 121
x = 7
a+b = b + a
Commutative Property
x + 12, x = 5
17
2 (x + 4) + 3x = 38
x = 6
A taxi chargers a flat fee of $5 plus $2 per mile. Write an expression for the cost of a ride that is m miles long.
2m + 5
2x + 3x = ?
5x
a(b + c) = ab + c?
Distributive Property
3y - 4, y = 6
14
2 (x+5)
(2x + 10)
Sam has 3 more than double the number of apples that Jen has. If Jen has a apples, how many does Sam have?
2a + 3
3x + 5x - 2 = 14
x = 2
3 + (4 + 5) = (3 + 4) + 5
Associative Property
2a + 3b, a = 4, b = 2
14
-3(y - 6)
(-3y + 18)
The perimeter of a square is 32 inches. What is the length of one side?
8 inches
7x - 4 + 2x = 3x + 20
x = 4
What Property says that any number multiplied by 1 is itself?
Property of Multiplication
x - 5, x = 6
1
4(x - 2) = 12
x = 5
You buy 4 notebooks for n dollars each and a backpack for $20. If your total is $48, what is the cost of one notebook?
$7
3a + 2b + 5a + 4b
8a + 6b
7 + (-7) = 0
3(6x + 5), x = 1
23
(n = 3)
Three consecutive integers add up to 45. What is the smallest of the three integers?
14,15, and 16