Solving Equations and Fractions

This video tutorial covers solving two-step linear equations by isolating the variable. It includes examples with integers, fractions, and decimals, demonstrating the use of inverse operations like addition, subtraction, multiplication, and division. The tutorial also introduces clearing fractions using the least common denominator.

What is the primary goal when solving a two-step equation?

• To add the same number to both sides

• To isolate the variable

• To multiply both sides by zero

• To eliminate all numbers

In the equation 2X + 3 = 25, what is the first step to isolate X?

• Divide both sides by 2

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 2

After subtracting 3 from both sides in the equation 2X + 3 = 25, what is the next step?

• Multiply both sides by 2

• Subtract 2 from both sides

• Divide both sides by 2

• Add 3 to both sides

In the equation X/4 - 2 = -5, what operation should be performed first?

• Multiply both sides by 4

• Divide both sides by 4

• Add 2 to both sides

• Subtract 2 from both sides

What is the result of multiplying both sides of the equation X/4 = -3 by 4?

• X = 3

• X = -3

• X = 12

• X = -12

When solving -2X = 6, what is the correct operation to isolate X?

• Add 2 to both sides

• Subtract 2 from both sides

• Divide both sides by -2

• Multiply both sides by -2

In the equation 4 - 6 = -2, what is the next step to solve for X?

• Divide both sides by -3

• Add 6 to both sides

• Subtract 4 from both sides

• Multiply both sides by 3

How do you handle equations with decimals like 9.3 = 1.5X?

• Subtract 1.5 from both sides

• Multiply both sides by 1.5

• Divide both sides by 1.5

• Add 1.5 to both sides

What is the first step when solving equations with fractions?

• Divide every term by the largest denominator

• Subtract the smallest fraction from both sides

• Multiply every term by the least common denominator

• Add all fractions together

What is the least common denominator for the fractions 1/3, 1/4, and 1/6?

• 24

• 12

• 18

• 6