AIM: 1-11 How can you use integer operations to solve real-world problems?
Name _______________________
Ms. Piccolo
Date _______________
Math 7 – Period ______
RECALL: Use order of operations to answer the questions below.
(*Hint: Follow PEMDAS and move from left to right!*)
a)
2[13 – (1 + 6)]
b)
2(3 + 5) – 9
c)
14 – 32 + 15 ÷ 5 ∙ 2
-------------------------------------------------------------------Let’s Investigate: Using order of operations with integers.
Example 1: Madison made four withdrawals of $20 from her checking account. She also
wrote a check for $215. By how much did the amount in her checking account change?
-
Analyze information: We need to find the total ____________________ in
Madison’s account. Since withdrawals and writing a check represents a
____________________ in her account, we use ____________________
numbers to represent these amounts.
-
Formulate a plan:
Write an integer expression to represent the four withdrawals:
-20 + (-20) + (-20) + (-20) can be rewritten as the product: __________________
To represent the check Madison wrote we can add -215.
Integer expression: _______________________________________________
-
Solve: Evaluate the expression to find by how much the amount changed.
Example 2: Gianna and Amya both play the same online game. In today’s play, Gianna
earns 6 points 3 times and loses 4 points twice. Amya 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? Who had the most points?
Integer expression to represent Gianna’s total points:
Integer expression to represent Amya’s total points:
________________ had the greater change to their total points!
________________ had the most points!
Example 3: Simplify each expression.
a)
(-12) ÷ 6 + 2
b)
-6(-5) – 40
c)
22 + (-5)(-3) ÷ -1
AIM: 1-11 How can you use integer operations to solve real-world problems?
Name _________________________
Ms. Piccolo
Date ____________________
Math 7 – Period ____________
Please complete this page on your own, using the video as a guide!
This page will be collected! Write neatly and show work for EVERY problem!
Now You Try!
1. Simplify each expression using order of operations. Show EVERY step of the problem!
a) 40 ÷ (-5) + 30
b) -3(-3) + 23 ÷ (-4)
c) -4 + (-2) ∙ 8 ÷ 22
2. Michael and Kayla play a board game in which they move counters along a board.
Michael moves his counter back 3 spaces four times and then moves his counter
forward 6 spaces. Kayla moves her counter back 2 spaces three times and then moves
her player forward 3 spaces one time. Find each player’s overall change in position.
Who moved farther?
Integer expression to represent Michael’s change in position:
Integer expression to represent Kayla’s change in position:
3. Evaluate each expression. Then, circle the expression with the greater value.
(-10) ÷ 2 – 2
OR
(-28) ÷ 4 + 1
4. Compare the value of the expressions using <, >, or =.
a)
-3(-2) + 3 ______ 3(-4) + 9
b)
-4 ÷ -2 – 10 ______ -3(4) + 32 + 1
5. Dominick lost 10 points seven times playing a video game. He then lost an additional 100
points for going over the time limit. Write and simplify an integer expression to find
the total change in his score.
6. Leah 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? Show your work!