Writing Equations from Word Problems

8x + 1500 = 12x

A toy company spends $1500 each day for factory expenses plus $8 per teddy bear. The bears sell for $12 each. How many bears must the company sell in one day to equal its daily costs?

x + 2x - 5 = 100

Andy's weight is 5 kg less than twice his brother's. Together they weigh 100 kg. What are their weights?

.05x + 16.95 = 22.95 + .02x

One telephone company charges $16.95 per month and $.05 per minute. Another company charges $22.95 per month and $.02 per minute. For what number of minutes of calls per month is the cost of the plans the same?

1528 - 38x = 371 + 23x

Eddie has $1528 in his account and spends $38 a week. Andrew has $371 in his account and saves $23 a week. When will there be the same amount in the two accounts?

x + 2 + 2x = 62

Find two consecutive even integers such that the sum of the larger and twice the smaller is 62.

x + x + 2 = -128

Find two consecutive odd integers whose sum is -128.

5x + 6 = 2x - 9

Six more than 5 times a number is the same as 9 less than twice the number. Find the number.

x - 8 + x + 4(x - 8) = 26

The first side of a triangle is 8 meters shorter than the second side. The third side is 4 times as long as the first side. The perimeter is 26 meters. Find the length of each side.

2x + 2(x + 5) = 150

The length of a rectangle is 5 meters greater than the width. The perimeter is 150 meters. Find the width and the length.

11x - 3 = x - 13

Three less than 11 times a number is the same as the number decreased by 13. Find the number.

4x + 9 = 2x - 15

Xavier is thinking of a number. Nine more than four times the number is the same as fifteen less than twice the number. What is Xavier's number?

100 + 80x = 70x + 250

You and a pilot friend decide to rent an airplane to do some sightseeing. One service charges $100 plus $80 an hour, while another charges $250 plus $70 an hour for the same plane. At what number of hours is the cost the same?