Solving Equations and Inequalities

This video tutorial covers modeling with inequalities, solving equations, and graphing inequalities. It begins with a field trip scenario to introduce inequalities, followed by problems involving seating arrangements and water barrels. The tutorial then provides step-by-step solutions to various equations and demonstrates how to graph inequalities. Finally, it explores weight calculations on the moon, including percentage decrease.

How many cars are needed to transport the remaining students if a van can seat 12 students and there are 28 students in total?

• 4 cars

• 5 cars

• 6 cars

• 7 cars

Which inequality represents the number of four-seat tables needed in a cafeteria to seat 200 students, given one 10-seat table?

• 4X + 10 > 200

• 4X + 10 ≥ 200

• 4X + 10 = 200

• 4X + 10 < 200

What is the inequality for the size of each of the four barrels if they, along with a fifth 10-liter barrel, must hold at least 200 liters?

• 4X + 10 < 200

• 4X + 10 = 200

• 4X + 10 > 200

• 4X + 10 ≥ 200

Solve the equation: 5n - 20 = -60. What is the value of n?

• n = -14

• n = -10

• n = -12

• n = -8

What is the solution for the equation: 7p - 8 = -22?

• p = -2

• p = -4

• p = -3

• p = -5

Solve the equation: 4W + 4 = -6. What is the value of W?

• W = -4

• W = -3.5

• W = -2.5

• W = -3

What is the solution for the equation: 2/5 J + 16 = -4?

• J = -45

• J = -50

• J = -40

• J = -55

Which inequality has the same graph as X < 4?

• X - 2 > 2

• 5X < 20

• X + 6 < 10

• X < 2

What is the weight decrease of a 200-pound person on the moon if they weigh 33 pounds there?

• 170 pounds

• 167 pounds

• 180 pounds

• 173 pounds

By what percentage did the person's weight decrease on the moon?

• 82%

• 85%

• 83%

• 84%