Question

1. jill is running a marathon, which is 26.2 miles. so far, she has completed a miles

(a) write an expression for the number of
miles she has left.
(b) if she has completed 8.9 miles so far,
how many miles does she have left?

1. an airplane can hold at most p passengers on a flight. a certain flight has seven passengers less

than four-fifths of its maximum capacity on board
(a) write an expression for the number of
passengers on the flight.
(b) if the plane can seat 440 passengers at
most, how many passengers are on the
flight?

1. which best describes the circled part of the

following expression?

1. which list includes like terms in the expression

below?
simplify each expression by combining like terms.

1. 2a + 16 - 5a
2. 11 + 5w - 8w - 24 + w

Explanation:

Step1: Identify like terms for 15.

Like terms are terms with the same variable. For \(2a + 16-5a\), the like terms are \(2a\) and \(-5a\).

$$2a-5a+16$$

Step2: Combine like terms for 15.

Using the rule \(ma+na=(m + n)a\), where \(m = 2\) and \(n=-5\).

$$ (2 - 5)a+16=-3a + 16$$

Step1: Identify like terms for 16.

For \(11 + 5w-8w-24+w\), the like terms with \(w\) are \(5w\), \(-8w\), \(w\), and the constant terms are \(11\) and \(-24\).

$$5w-8w + w+11-24$$

Step2: Combine like terms for 16.

First, combine the \(w\) - terms: \(5w-8w + w=(5-8 + 1)w=-2w\). Then combine the constant terms: \(11-24=-13\).

Answer:

1. \(-3a + 16\)
2. \(-2w-13\)