Solving Equations and Inequalities Challenge

Mr. Marichelle introduces solving equations and inequalities for bridge math. The video covers the goal of isolating variables, using the order of operations in reverse, and provides examples of solving equations for x and w. It also introduces solving inequalities, highlighting the key difference of flipping the inequality when dividing by a negative number. The video concludes with a rapid example of solving inequalities, emphasizing the importance of the flipping rule.

What is the primary goal when solving an equation?

• To balance both sides of the equation

• To simplify the equation

• To eliminate all constants

• To isolate the variable on one side

In the order of operations, which step should be performed first?

• Division

• Subtraction

• Addition

• Multiplication

What is the result of solving the equation 2(3x - 5) + 2 = 10?

• x = 2

• x = 3

• x = 5

• x = 4

When solving 6w + 30 = 2w + 1, what is the value of w?

• w = -7.25

• w = -4.25

• w = -6.25

• w = -5.25

What is the key difference between solving equations and inequalities?

• You must subtract a constant from both sides

• You must multiply both sides by a positive number

• You must add a constant to both sides

• You must flip the inequality when dividing by a negative number

In the inequality -3x + 5 < 17, what is the first step to isolate x?

• Divide both sides by -3

• Add 5 to both sides

• Multiply both sides by -3

• Subtract 5 from both sides

After isolating -3x < 12, what is the next step?

• Divide both sides by -3

• Multiply both sides by -3

• Subtract 3 from both sides

• Add 3 to both sides

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

• It stays the same

• It flips

• It becomes an equal sign

• It disappears

In the inequality 2(3 - x) > 12, what is the first step?

• Distribute the 2

• Divide both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

What is the final solution for the inequality 2(3 - x) > 12?

• x < -3

• x > 3

• x > -3

• x < 3