Solving Equations and Inequalities

The video tutorial covers solving equations and inequalities in under five minutes. It begins with an introduction to the seventh-grade concepts of equations and inequalities, followed by a review of the order of operations. The tutorial then provides a detailed, step-by-step solution to the equation 4x - 17 = 43, emphasizing the importance of isolating the variable. Similarly, it solves the inequality -2x + 7 ≥ 13, highlighting the need to reverse the inequality sign when multiplying or dividing by a negative number.

Which operation is considered the weakest when isolating a variable?

• Addition

• Subtraction

• Multiplication

• Division

What is the purpose of isolating the variable in an equation?

• To simplify the equation

• To eliminate the variable

• To find the value of the variable

• To make the equation more complex

What is the first step in solving the equation 4x - 17 = 43?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 17 from both sides

• Add 17 to both sides

In the equation 4x - 17 = 43, what is the value of x?

• 18

• 15

• 12

• 10

What is the inverse operation of multiplication?

• Addition

• Subtraction

• Exponentiation

• Division

What is the result of 60 divided by 4 in the equation 4x = 60?

• 12

• 18

• 10

• 15

When solving -2x + 7 ≥ 13, what operation should be performed first?

• Subtract 7 from both sides

• Add 7 to both sides

• Multiply both sides by -2

• Divide both sides by -2

What is the solution to the inequality -2x + 7 ≥ 13?

• x ≤ -3

• x ≥ -3

• x ≤ 3

• x ≥ 3

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

• It becomes an equal sign

• It disappears

• It reverses

• It stays the same

Why is it important to remember the rule about reversing inequalities?

• It helps in solving equations faster

• It simplifies the inequality

• It ensures the solution is correct

• It makes the inequality more complex