Solving Word Problems with Equations

This video tutorial covers the applications of linear equations through various examples. It begins with an introduction to linear equations and their real-life applications. The video then presents several problems, including calculating costs at an arcade, finding consecutive integers, determining book pages read over days, solving number problems, and calculating rectangle dimensions. Each example involves setting up and solving equations, defining variables, and verifying solutions.

Marvin spent a total of $26.25 at the arcade. If the entrance fee was $5 and each game cost $1.25, how many games did he play?

• 15

• 18

• 17

• 16

What is the sum of four consecutive integers that equals -26?

• -6, -5, -4, -3

• -9, -8, -7, -6

• -7, -6, -5, -4

• -8, -7, -6, -5

If Maria read 45 pages on Monday, half the book on Tuesday, and 72 pages on Wednesday, how many pages are in the book?

• 250

• 300

• 234

• 200

A number increased by five and then divided by two equals 75. What is the number?

• 155

• 150

• 145

• 140

The sum of 13 and twice a number is 7 less than six times the number. What is the number?

• 6

• 3

• 4

• 5

The width of a rectangle is 7 less than twice its length. If the perimeter is 43.6 inches, what is the area of the rectangle?

• 100.12 square inches

• 110.24 square inches

• 117.12 square inches

• 120.50 square inches

If 35 tickets were sold on Monday and an equal number of tickets were sold each day for the next five days, totaling 250 tickets, how many tickets were sold each day?

• 40

• 42

• 45

• 43