Simplifying Expressions
4x + 3 − 2x + 5
Abigail is planning a pizza party and needs to order pizzas. Each pizza costs $12, and she plans to order p pizzas. Write an expression to represent the total cost of the pizzas.
12p
12 − (−5)
17
7 * -10
-70
What is the property where you multiply the number outside the parentheses to each term inside the parentheses?
Distributive Property
3a + 5a− 2b + 4c − 7
8a - 2b + 4c - 7
A movie theater charges $8 per adult ticket and $5 per child ticket. If a represents the number of adult tickets and c represents the number of child tickets sold, write an expression for the total revenue the theater makes from ticket sales.
8a + 5c
−8 + 4 + (−3)
-7
___ * -8 = 32
-4
True or False? When subtracting from a negative number, the number gets bigger.
False
3(2x + 4) − 5(x − 2)
A gym charges a one-time membership fee of $50 and a monthly fee of $30. If m represents the number of months a person has been a member, write an expression for the total cost of the gym membership after m months.
30m + 50
−25 + 18 − (−9) + 14
16
2 * (-4/2) * 5
-20
-10 - (-10) ____ 10 + (-10)
=
2(x + 5) − 4(y − 3) + 6
2x - 4y + 28
A group of g people is going to an amusement park. The park charges an entrance fee of $25 per person. Additionally, the group plans to buy s snacks at $5 each and rent lockers for $2 per person. Write an expression to represent the total cost for the group.
25g + 5s + 2g
47 − (−32 - (-19)) + (−13)
47
-3x * 8 / -6 * 10
40
True or False? You can add or subtract unlike terms together.
False
3(2b − 4c) + 5(3a + c) − 2(a − b)
13a + 8b - 7c
A streaming service offers a monthly subscription plan for $12, plus an additional fee of $2 for every movie rental. If m represents the number of movies rented in a month, and n represents the number of months the subscription is active, write an expression for the total cost of the service.
12n + 2mn
6x + (-5x) - (-x) + 10x
12x
(-6x / x) * 9 / -3 * 10 * -1
-180
10(5x - 2y) + 20y * 2 + 100 * 2 - (-2) + (-11) - 1 + 8
50x + 20y + 198