(3xy-2xz+yz) + (2xy-4xz-5yz)
3xy-2xz+yz + 2xy-4xz-5yz
= (3xy + 2xy) + (-2xz - 4xz) + (yz - 5yz)
= 5xy - 6xz - 4yz
5x^2+3x-2x^2+4x
5x^2 + 3x - 2x^2 + 4x
= (5x^2 - 2x^2) + (3x + 4x)
= 3x^2 + 7x
-3(2x+5)+7
-3(2x + 5) + 7
= -6x - 15 + 7
= -6x - 8
A state park charges an entrance fee plus $15 for each night of camping. The table shows this relationship. Which algebraic expression describes the total cost for camping `n` nights?
The algebraic expression that describes the total cost for camping `n` nights can be represented as:
Total cost = (Entrance fee) + (Cost per night x Number of nights)
Total cost = (E) + (15n)
While on vacation, you rent a scooter. You pay $7.50 for each hour you use it. It costs $3 to rent a helmet. Write an algebraic expression that describes the total cost in terms of hours, x, that you rent the scooter.
The algebraic expression that describes the total cost in terms of hours, x, that you rent the scooter can be represented as:
Total cost = (Cost per hour x Number of hours) + Cost of helmet
Total cost = (7.50x) + 3
simplaify 12(x+4)
To simplify the expression 12(x+4), you can distribute the 12 to both terms inside the parentheses:
12(x+4) = 12*x + 12*4 = 12x + 48
So the simplified form is 12x + 48.
simplify -2(2x-5)
To simplify the expression -2(2x-5), you can distribute the -2 to both terms inside the parentheses:
-2(2x-5) = -2*2x - 2*(-5) = -4x + 10
So the simplified form is -4x + 10.