1. If the absolute value of x is 5, what is the value of x?(1 point)
The value of x can be either 5 or -5 since the absolute value of x is 5.
The integer -20 would BEST represent which of these events?
I. You remove 20 lbs of peaches from a pile.
II. You fill a tub with 20 gallons of water.
III. You withdraw $20 from a bank account.
III. You withdraw $20 from a bank account.
3. Which of these situations illustrates two quantities that combine to make 0?(1 point)
Situations that illustrate two quantities combining to make 0 include:
- A person deposits $20 into a bank account and then withdraws $20, resulting in a balance of 0.
- A friend borrows $10 from another friend and then repays the $10, leaving both parties with 0 debts.
- A person receives 5 points for a correct answer on a quiz and then loses 5 points for an incorrect answer, resulting in a score of 0.
4. On a number line, what is the distance between -67 and 14?(1 point)
To calculate the distance between -67 and 14 on a number line, we can take the absolute value of the difference between the two numbers.
|-67 - 14| = |-81| = 81
Therefore, the distance between -67 and 14 is 81 units.
5. Madison has $650 in her account. She makes a $350 withdrawal, deposits $100, and then gets charged a $20 fee. How much does she have in her account?(1 point)
Starting with $650, Madison makes a $350 withdrawal, leaving her with $300 ($650 - $350 = $300).
Then, she deposits $100, increasing her balance to $400 ($300 + $100 = $400).
After that, she gets charged a $20 fee. Subtracting the fee from her balance, Madison has $380 left in her account ($400 - $20 = $380).
Therefore, Madison has $380 in her account.