Lesson 4
Money and Debts
Problem 1
The table shows five transactions and the resulting account balance in a bank account, except some numbers are missing. Fill in the missing numbers.
transaction amount | account balance | |
---|---|---|
transaction 1 | 200 | 200 |
transaction 2 | -147 | 53 |
transaction 3 | 90 | |
transaction 4 | -229 | |
transaction 5 | 0 |
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 2
-
Clare has $54 in her bank account. A store credits her account with a $10 refund. How much does she now have in the bank?
-
Mai's bank account is overdrawn by $60, which means her balance is -$60. She gets $85 for her birthday and deposits it into her account. How much does she now have in the bank?
-
Tyler is overdrawn at the bank by $180. He gets $70 for his birthday and deposits it. What is his account balance now?
- Andre has $37 in his bank account and writes a check for $87. After the check has been cashed, what will the bank balance show?
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 3
Last week, it rained \(g\) inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain that fell this week? Select all that apply.
\(g - 0.05\)
\(g - 0.05g\)
\(0.95g\)
\(0.05g\)
\((1-0.05)g\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 4, Lesson 8.)Problem 4
Decide whether or not each equation represents a proportional relationship.
- Volume measured in cups (\(c\)) vs. the same volume measured in ounces (\(z\)): \(c = \frac18 z\)
- Area of a square (\(A\)) vs. the side length of the square (\(s\)): \(A = s^2\)
- Perimeter of an equilateral triangle (\(P\)) vs. the side length of the triangle (\(s\)): \(3s = P\)
- Length (\(L\)) vs. width (\(w\)) for a rectangle whose area is 60 square units: \(L = \frac{60}{w}\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 2, Lesson 8.)Problem 5
Add.
- \(5\frac34 + (\text{-}\frac {1}{4})\)
- \(\text {-}\frac {2}{3} + \frac16\)
- \(\text{-}\frac {8}{5} + (\text{-}\frac {3}{4})\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 5, Lesson 3.)Problem 6
In each diagram, \(x\) represents a different value.
![Four number lines, labeled A, B, C, and D.](https://staging-cms-im.s3.amazonaws.com/ATUefT7F4hg77VQLXoPMJpQs?response-content-disposition=inline%3B%20filename%3D%227.7.A1.Image.01%25281%2529.png%22%3B%20filename%2A%3DUTF-8%27%277.7.A1.Image.01%25281%2529.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T075524Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=2139d207abf3abb7429fc286e8e77a6050de8643d40bd75541eec04abf5f9565)
For each diagram,
- What is something that is definitely true about the value of \(x\)?
- What is something that could be true about the value of \(x\)?
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 5, Lesson 1.)