Solving Equations and Integer Problems

In this lesson, students learn to apply linear equations to real-life problems. The video covers three examples: calculating the number of games played based on costs, finding consecutive integers with a specific sum, and determining the total pages in a book based on reading patterns. Each example demonstrates how to set up and solve equations, reinforcing the skills learned in previous lessons.

What is the main focus of lesson nine in module 4?

• Introduction to calculus

• Review of previous modules

• Application of linear equations in real-life scenarios

• Introduction to quadratic equations

If Marvin paid a $5 interest fee and $1.25 per game, spending a total of $26.25, how many games did he play?

• 15 games

• 17 games

• 20 games

• 25 games

What is the first step in solving the equation for Marvin's game expenses?

• Multiply both sides by 2

• Add $5 to both sides

• Subtract $5 from both sides

• Divide both sides by 1.25

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

• -8, -7, -6, -5

• -5, -4, -3, -2

• -6, -5, -4, -3

• -7, -6, -5, -4

How do you represent the second integer if the first integer is x?

• x + 2

• x + 1

• x - 1

• x + 3

What is the equation used to find the sum of four consecutive integers?

• x + x + 2 + x + 4 + x + 6 = -26

• x + x + 1 + x + 2 + x + 3 = -26

• x + x + 3 + x + 6 + x + 9 = -26

• x + x + 4 + x + 8 + x + 12 = -26

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 pages

• 234 pages

• 300 pages

• 200 pages

What is the first step in solving the equation for the number of pages in Maria's book?

• Divide both sides by 2

• Subtract 45 from both sides

• Multiply both sides by 2

• Add 45 and 72

How do you simplify the equation 117 + 0.5x = x?

• Subtract 0.5x from both sides

• Multiply both sides by 2

• Divide both sides by 0.5

• Add 0.5x to both sides

What is the reciprocal of 0.5 used in the equation for Maria's book?

• 4

• 1

• 2

• 0.5