Combining Like Terms in Algebra

This video tutorial is part of the 'Brushing Up on Algebra' series and focuses on combining like terms. It begins with an introduction to the theory behind combining like terms, followed by an explanation of the basic distribution rule. The video provides several examples to illustrate how to combine like terms and simplify expressions. Advanced examples are also covered, demonstrating the process of combining terms with different exponents and variables. The tutorial concludes with a final example and a summary of the key concepts discussed.

What is the main topic of this video in the algebra series?

• Solving quadratic equations

• Combining like terms

• Graphing linear equations

• Factoring polynomials

What is the basic distribution rule used in algebra?

• a + b = b + a

• a(b + c) = ab + ac

• a^2 + b^2 = c^2

• a/b = b/a

Why is it important to have like terms before combining them?

• To change the variables

• To make the expression longer

• To simplify the expression correctly

• To ensure the equation is balanced

Which of the following pairs of terms cannot be combined?

• 7y and 8y

• 5x^2 and 2x^2

• 2x and 3y

• 3x and 4x

Why can't 2x and 3x^2 be combined?

• They are already simplified

• They have different exponents

• They have different variables

• They have different coefficients

What is the result of combining 2x and -7x?

• 5x

• -9x

• -5x

• 9x

In the expression x^2 - 3x + 2x - 6, which terms can be combined?

• -3x and 2x

• 2x and -6

• x^2 and 2x

• x^2 and -3x

What is the simplified form of x^2 - 3x + 2x - 6?

• x^2 - x - 6

• x^2 + x - 6

• x^2 - 5x - 6

• x^2 - 6

In the expression x^3 + 5x^2 - 7x - x^2 - 5x + 7, what is the result of combining the x^2 terms?

• 6x^2

• 3x^2

• 5x^2

• 4x^2

What is the simplified form of the expression x^3 + 5x^2 - 7x - x^2 - 5x + 7?

• x^3 + 4x^2 - 2x + 7

• x^3 + 4x^2 - 12x + 7

• x^3 + 5x^2 - 12x + 7

• x^3 + 6x^2 - 12x + 7