Solving Equations and Inequalities

The 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 graphing inequalities. Finally, it explores weight calculations on the moon, including percentage decrease.

How many students can the van seat on the field trip?

• 20

• 12

• 15

• 10

What inequality represents the number of cars needed if each car seats 3 students?

• 12 + 3n = 28

• 12 + 3n < 28

• 12 + 3n > 28

• 12 + 3n ≤ 28

How many cars are needed to transport the remaining students?

• 7

• 6

• 5

• 4

What is the seating capacity of the large table in the cafeteria?

• 15

• 10

• 12

• 8

Which inequality represents the number of four-seat tables needed?

• 4X + 10 = 200

• 4X + 10 > 200

• 4X + 10 < 200

• 4X + 10 ≥ 200

How are the two problems involving tables and barrels similar?

• Both use the same inequality.

• Both involve seating arrangements.

• Both deal with water capacity.

• Both are about transportation.

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

• -12

• -14

• -8

• -10

What is the solution for T in the equation: -3T - 8 = 25?

• -5

• -11

• -9

• -7

Solve for P: 7P - 8 = -22.

• -5

• -4

• -3

• -2

What is the value of J in the equation: 2/5J + 16 = -4?

• -20

• -40

• -30

• -50