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 22,648 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 given values

Total miles traveled by Gary and Leona is 72,648 miles. Gary traveled 43,975 miles.

Step2: Set up equation

Let $t$ be the miles Leona traveled. The equation is $43975 + t=72648$.

Step3: Solve for $t$

Subtract 43975 from both sides of the equation: $t = 72648-43975$.
$t=28673$.

Step1: Identify given values

Land - area of Wyoming is 93,140 square miles. Oregon has a land - area 2,856 square miles greater than Wyoming.

Step2: Set up equation

Let $A$ be the land - area of Oregon. The equation is $A=93140 + 2856$.

Step3: Solve for $A$

$A=93140+2856=95996$.

Answer:

Leona traveled 28,673 miles.

For question 6: