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:

1.

Step1: Add the two numbers

$32947+17374 = 50321$
The equation is $32947 + 17374=50321$
2.

In the equation $102832 + p=270013$, the variable is $p$. A variable is a symbol that represents an unknown number.
3.

The given quantities are: Gary's travel - distance of 43975 miles and the total travel - distance of Gary and Leona which is 72648 miles. The number 43975 represents the number of miles Gary traveled, and 72648 represents the combined number of miles Gary and Leona traveled.
4.
The bar - diagram would have a long bar representing the total distance of 72648 miles. One part of the bar (the left - hand part) would be labeled 43975 miles (Gary's distance) and the other part (the right - hand part) would be labeled $t$ (Leona's distance).
5.

Answer:

1. $32947 + 17374 = 50321$
2. $p$
3. Given quantities: 43975 miles (Gary's travel distance), 72648 miles (total travel distance of Gary and Leona)
4. A long bar of length 72648 miles, with one part of length 43975 miles and the other part labeled $t$
5. Equation: $43975 + t=72648$, $t = 28673$ miles
6. Bar - diagram: One bar for Wyoming (93140 square miles) and a longer bar for Oregon (extra 2856 square miles). Equation: $A=93140+2856$, $A = 95996$ square miles