Simplifying Expressions and Operations

This video tutorial covers the practice of adding and subtracting like terms in algebra. It begins with an introduction to the concept of like terms, followed by several examples demonstrating how to add and subtract terms with similar variables and exponents. The tutorial also includes complex examples involving multiple variables and a trick question to test understanding. Throughout the lesson, the use of calculators is encouraged to simplify calculations.

What is the first step in adding like terms?

• Multiply the coefficients

• Identify the like terms

• Subtract the exponents

• Divide the terms

If you have 1x² and 2x², what is the result when you add them?

• 2x²

• 1x⁴

• 3x⁴

• 3x²

What is the coefficient of x in the expression 3x + 4x?

• 1

• 7

• 4

• 3

How do you handle negative numbers when subtracting like terms?

• Add the numbers

• Ignore the negative sign

• Treat them as positive

• Subtract the numbers

What is the result of subtracting 6x from 3x?

• -9x

• 9x

• 3x

• -3x

When subtracting like terms, when do two negatives make a positive?

• When multiplying

• When adding

• When subtracting

• When dividing

What is the result of 7x² - 3x²?

• 10x²

• 4x²

• 3x²

• 7x²

If you owe 6 rand and then owe another 3 rand, how much do you owe in total?

• 12 rand

• 3 rand

• 6 rand

• 9 rand

What is the result of adding 2x and -8x?

• -10x

• 6x

• -6x

• 10x

How do you simplify 2x² + 8x²?

• 6x²

• 16x²

• 8x²

• 10x²