7-2: Order of Operations
What is the order of operations?
Parentheses, exponents, multiplication, division, addition, subtraction
Add 9 and 4, then multiply by 6
(9 + 4) x 6
Admission to an auto show cost $6 for each ticket. After selling 35 tickets at this price, they decided to lower the price to $3. If they sold $345 worth of tickets, how many tickets did they sell in all?
80 tickets
1--> 35 x 6 = $210 (what you know)
2--> $345 - $210 = 135 (what you figured out)
3--> 135 ÷ 3 = 45 (what you need to figure out)
4--> 45 + 35 = 80 tickets solds
When numbers increase, what are the 2 options that the pattern can be?
Addition and Multiplication
The first coordinate in an ordered pair is the X or Y coordinate?
X
58 - 6 x 7 =
16
Subtract 15 from 35, then divide by 2
(35 - 15) ÷ 2
When numbers decrease, what 2 operations could the pattern be?
Division and Subtraction
The second coordinate in an ordered pair is the X or Y coordinate?
Y
7 x 10 + 3 x 30 =
160
Add 23 to 37, then divide by 6
(23 + 37) ÷ 6
Chris collected 15 more cans of food than Mike. Jen collected 8 more than Chris. Jen collected 72 cans of food. How many cans did Chris, Mike and Jen collect in all?
185 cans
72 - 8 (Jen collected 8 more than Chris)= 64 (Chris)
64 - 15 (Chris collected 15 more than Mike) = 49 (Mike)
72 + 64 + 49 = 185
What is the pattern: 2, 8, 32, 128
x 4
67 x 3.4
227.8
(15 - 5) x [(9 x 3) + 3] =
300
Harry tripled his savings account balance of $300. Then he withdrew $150 to buy some new clothes. Write an expression that represents the situation
3 x $300 - $150
If the pattern is divide by 5, what are the next 3 numbers:
25,000; 5,000; 1,000...
200; 40; 8
2.78 x 0.8
2.224
{2 x [4 - (6 ÷ 2)]} x 3 =
6
Ashley purchased and downloaded 35 songs on Thursday and 25 songs on Friday. Each song costs $4 to download. Write and solve an equation that represents the situations.
(35 + 25) x $4 = $240
Mr. Stevens delivers the same number of flowers with each delivery. The flower shop has ordered 2,050 flowers and it will take 5 trips to deliver all of the flowers. How many flowers will Mr. Stevens have delivered after 3 trips?
1,230 flowers.
2,050 ÷ 5 = 410 (amount per delivery)
410 x 3 = 1,230 (amount after 3 trips)
What are the next 2 numbers? 1; 2; 3; 5; 8; 13; 21...
34 and 55
0.462 ÷ 0.2
2.31