Let's break down the sentence, "56 is 14 more than a number," and match it with Jace's work.
1. The phrase "56 is 14 more than a number" means we need to find a number that, when we add 14 to it, equals 56.
2. Let’s denote this number as [tex]\( p \)[/tex].
3. According to the given sentence, if we take this number ([tex]\( p \)[/tex]), and add 14 to it, we should get 56. This translates mathematically to:
[tex]\[
14 + p = 56
\][/tex]
4. To find the value of [tex]\( p \)[/tex], we solve the equation by isolating [tex]\( p \)[/tex]:
[tex]\[
14 + p = 56
\][/tex]
5. Subtract 14 from both sides to isolate [tex]\( p \)[/tex]:
[tex]\[
p = 56 - 14
\][/tex]
[tex]\[
p = 42
\][/tex]
However, your question requests a specific assessment of Jace's work based on the options provided. Among the given choices, the statement that best describes Jace's work is:
- Jace is correct. The phrase "more than" suggests addition, so Jace showed that 14 plus a variable equals 56.
This statement is correct because Jace appropriately interpreted the phrase "14 more than a number" as an addition and set up the equation [tex]\( 14 + p = 56 \)[/tex].
