Applying Integer Operations

Warm Up

1. 21 – 6 ÷ 3 2. 18 + (7 – 4) x 3

3. 5 + (8 – 3) 4. 9 + 18 ÷ 3 + 10

5. 60 – (3 – 1) x 3 6. 10 – 16 ÷ 4 x 2 + 6

Order of Operations

We can use the mnemonic device, “Perfectly Excellent Math Answers,” to help us remember the order of operations.

Perfectly – ParenthesisExcellent – ExponentsMath – Multiplication and Division

from left to rightAnswers – Addition and Subtraction from

left to right

Arleen has a gift card for a local home and garden store. She uses the gift card to rent a tiller for 4

days. It costs $35.00 per day to rent the tiller. She also buys a rake for

$9.00. The original amount on the gift card was $200.00. Does Arleen have enough left on the card to buy a wheelbarrow for $50.00? Explain.

Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the

surface of the lake, the rock’s distance from the lake’s surface changes at a rate of -5 inches per second. If Lisa

holds her hand 5 feet above the lake’s surface, how far from Lisa’s hand is the rock 4 seconds after it hits the

surface?

Dion has $14 and earns $12 for each lawn he mows. If he mows 4 lawns and buys 5 DVDs that cost $11.95 each, including tax, how much money does he have left?

One month Owen made 3 withdrawals for $20 and 1

withdrawal for $80 from his account. How did the withdrawalschange the amount in his account?

Franklin was charged $140 plus apickup charge of $20 to ship 4 identicalboxes by Fast Ship. The pickup chargeapplies regardless of how many boxesare picked up. What would have beenthe change to Franklin’s account if he

had shipped just 1 box?

Rita and Bernie both play the sameonline game. In today’s session, Rita

earns 6 points 3 times and loses 4 points twice. Bernie gets a bonus of

15 points for answering a trivia question correctly and then loses 25

points twice for giving wrong answers. Who had the greater change to their total points?

Exit Ticket1. 4(-1) + 7 2. (-10) ÷ (-2) + 9

3. (-3)8 – 14 4. -7(0) + 12

5. Shana took a test with 50 questions. She lost 2 points for each of the 5 questions she got wrong. She got all 3 extra credit questions correct and received 5 points for each. What is the total number of points she gained or lost overall?

Compare the values of the two expressions using <, =, or >.

6. (-3)(3) - 7 ___ 15 ÷ (-5) + 4

7. (-36) ÷ 3 + 3 ___ (-30) - (3)(-7)