Solving One-Step Equations Challenge

This video tutorial covers solving one-step equations using various properties of equality, including addition, subtraction, multiplication, and division. It also explains the concept of the multiplicative inverse and how to use reciprocals to solve equations. Each property is demonstrated with examples, and the importance of checking solutions is emphasized.

What is the main goal when solving an equation?

• To balance both sides of the equation

• To subtract numbers from both sides

• To isolate the variable

• To add numbers to both sides

In the equation a = b, what can you do to both sides to keep it balanced?

• Divide one side by a number

• Multiply both sides by different numbers

• Subtract different numbers from both sides

• Add the same number to both sides

If you have the equation x - 4 = 10, what should you add to both sides to isolate x?

• Add 10

• Add 4

• Subtract 4

• Subtract 10

In the equation 12 = x - 7, what should you add to both sides to solve for x?

• Add 7

• Subtract 12

• Add 12

• Subtract 7

What is the opposite operation of addition in solving equations?

• Multiplication

• Division

• Subtraction

• Addition

In the equation x + 8 = 15, what should you subtract from both sides to isolate x?

• Add 15

• Add 8

• Subtract 8

• Subtract 15

What is the opposite operation of division in solving equations?

• Division

• Subtraction

• Multiplication

• Addition

In the equation x / 7 = 10, what should you multiply both sides by to isolate x?

• Multiply by 7

• Divide by 7

• Divide by 10

• Multiply by 10

What is the reciprocal of the fraction 2/7?

• 1/2

• 2/7

• 7

• 7/2

In the equation 5/6 * w = 10, what should you multiply both sides by to isolate w?

• 1/10

• 10

• 5/6

• 6/5