Solving Equations and Inequalities

The video provides a comprehensive review for a unit six math exam, covering topics such as simplifying expressions, using substitution, determining equivalent expressions, solving equations and inequalities, and applying these concepts to real-world problems. The instructor emphasizes the importance of understanding the order of operations, combining like terms, and using inverse operations. The video also includes practical examples and encourages students to pause, rewind, and review the material as needed.

What is the simplified form of the expression 3 - 2x + 6 + 4x + 7x²?

• 7x² + 2x + 6

• 7x² + 2x + 9

• 7x² + 6x + 9

• 7x² + 4x + 9

When substituting y = 16 into the expression 0.25y + 7 - 2³, what is the result?

• 5

• 3

• 7

• 9

Which of the following expressions is equivalent to 4(x + 8)?

• 4x + 32

• 4x + 8

• 8x + 8

• 8x + 32

Solve the equation: P - 5 = 4. What is the value of P?

• 9

• 5

• 4

• 1

If 12 = 4x + 8, what is the value of x?

• 4

• 3

• 2

• 1

What happens to the inequality sign when you multiply or divide both sides by a negative number?

• It becomes an equal sign

• It flips direction

• It disappears

• It stays the same

Solve the inequality: 4x + 2 > 10. What is the solution for x?

• x > 3

• x > 2

• x < 3

• x < 2

Graph the inequality y/(-4) < 9. What is the correct direction of the inequality?

• y > -36

• y < 36

• y < -36

• y > 36

If an animal shelter has at least 20 cats and dogs, and there are 4 more cats than dogs, what is the minimum number of dogs?

• 8

• 12

• 10

• 14

Walter has 8.75 gallons of lemonade and sells 1.75 gallons per hour. How many hours will it take to sell all the lemonade?

• 5 hours

• 7 hours

• 6 hours

• 4 hours