Assessment Practice

Which statements are true?

1. An expression for "A diver swims at 14 feet below sea level and then another 14 feet" is [tex]$14 + (-14)$[/tex].
2. An expression for "Bailey owes [tex]\$14[/tex] and then earns [tex]\$14[/tex]" is [tex]-14 + 14[/tex].
3. An expression for "Gail saves [tex]\[tex]$14[/tex] and then spends [tex]\$[/tex]14[/tex]" is [tex]14 + (-14)[/tex].
4. An expression for "Max saves [tex]\$14[/tex] and then spends [tex]\$14[/tex]" is [tex]14 + (-14)[/tex].
5. An expression for "Sera owes [tex]\$14[/tex] and then earns [tex]\$14[/tex]" is [tex]-14 + 14[/tex].



Answer :

Let's evaluate the expressions for each statement step by step:

1. A diver swims at 14 feet below sea level and then another 14 feet:
- Expression: [tex]\( 14 + (-14) \)[/tex]
- Calculating: [tex]\( 14 - 14 = 0 \)[/tex]
- Result: [tex]\( 0 \)[/tex], which simplifies to true.

2. Bailey owes [tex]$14 and then earns $[/tex]14:
- Expression: [tex]\( -14 + 14 \)[/tex]
- Calculating: [tex]\( -14 + 14 = 0 \)[/tex]
- Result: [tex]\( 0 \)[/tex], which simplifies to true.

3. Gail saves [tex]$14 and then spends $[/tex]14:
- Expression: [tex]\( -14 + 14 \)[/tex]
- Calculating: [tex]\( -14 + 14 = 0 \)[/tex]
- Result: [tex]\( 0 \)[/tex], which simplifies to true.

4. Max saves [tex]$14 and then spends $[/tex]14:
- Expression: [tex]\( 14 + (-14) \)[/tex]
- Calculating: [tex]\( 14 - 14 = 0 \)[/tex]
- Result: [tex]\( 0 \)[/tex], which simplifies to true.

5. Sera owes [tex]$14 and then earns $[/tex]14:
- Expression: [tex]\( -14 + 14 \)[/tex]
- Calculating: [tex]\( -14 + 14 = 0 \)[/tex]
- Result: [tex]\( 0 \)[/tex], which simplifies to true.

By evaluating all these expressions, each one of them results in true. Therefore, all the given statements are true.