Exploring Adding and Subtracting Rational Expressions

The video tutorial covers solving absolute value equations, including those with no solutions, and explores the concept of absolute value in inequalities. It also demonstrates solving equations using cross multiplication. The teacher provides step-by-step guidance and examples to help students understand these mathematical concepts.

What is the first step in solving the equation |x - 12| - 3 = 11?

• Divide both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

What are the two equations formed from |x - 12| = 14?

• x - 12 = 14 and x + 12 = 14

• x + 12 = 14 and x + 12 = -14

• x - 12 = 14 and x - 12 = -14

• x + 12 = 14 and x - 12 = 14

What is the solution to the equation |2x - 3| = 5?

• x = 4 and x = 1

• x = 8 and x = 1

• x = 8 and x = -1

• x = 4 and x = -1

What is the first step in solving the equation -2|r - 4| = 12?

• Divide both sides by -2

• Subtract 2 from both sides

• Multiply both sides by -2

• Add 2 to both sides

What is the maximum weight the machine will approve if the target weight is 16 ounces and it can vary by 0.5 ounces?

• 15.5 ounces

• 16 ounces

• 17 ounces

• 16.5 ounces

What is the minimum weight the machine will approve if the target weight is 16 ounces and it can vary by 0.5 ounces?

• 15.5 ounces

• 16 ounces

• 16.5 ounces

• 15 ounces

What is the absolute value equation for a weight that can vary by 0.5 ounces from 16 ounces?

• |x - 0.5| = 16

• |x + 0.5| = 16

• |x + 16| = 0.5

• |x - 16| = 0.5

What is the first step in solving the equation 4(b + 10) = 8(2b - 7)?

• Distribute the 4 and 8

• Add 10 to both sides

• Divide both sides by 4

• Subtract 10 from both sides

What is the value of b in the equation 4(b + 10) = 8(2b - 7)?

• b = 2

• b = 8

• b = -2

• b = -8

What is the result of distributing 4 in the equation 4(b + 10)?

• 4b - 10

• 4b + 10

• 4b - 40

• 4b + 40