Question

1. an equation is a number - sentence that uses the equal sign (=) to show that two expressions have the same value. write an equation to show 32,947 + 17,374 and the sum.
2. a variable is a symbol or letter that stands for a number. identify the variable in the equation 102,832 + p = 270,013.

use exercises 3 - 5 to answer the question. gary and leona traveled a total of 72,648 miles last year on business. gary traveled 43,975 miles. how many miles did leona travel?

1. what quantities are given in the problem, and what do the numbers mean?
2. complete the bar diagram to show how to find, t, the number of miles leona traveled.
3. write and solve an equation to answer the question.

on the back!

1. wyoming has a land area of 93,140 square miles. oregon has a land area 2,856 square miles greater than wyoming. what is the land area of oregon? draw a bar diagram, and write and solve an equation for the bar diagram.

Explanation:

Step1: Identify the equation for Leona's miles

Let \(t\) be the number of miles Leona traveled. The total miles of Gary and Leona is 72648 and Gary traveled 43975 miles. So the equation is \(43975 + t=72648\).

Step2: Solve the equation for \(t\)

To find \(t\), we use the subtraction - property of equality. Subtract 43975 from both sides of the equation: \(t = 72648-43975\).

Step3: Calculate the value of \(t\)

\(72648-43975 = 28673\).

for question 6:

Step1: Define the variables and equation

Let \(A\) be the land - area of Oregon. Wyoming has an area of 93140 square miles and Oregon's area is 2856 square miles greater than Wyoming's. So the equation is \(A=93140 + 2856\).

Step2: Calculate the value of \(A\)

\(93140+2856=95996\).

Answer:

Leona traveled 28673 miles.