Simplifying Algebraic Expressions

This video tutorial covers simplifying algebraic expressions, starting with a warm-up of eight problems. It explains the process of simplifying expressions by distributing and combining like terms, emphasizing the importance of order. The tutorial provides detailed examples, demonstrating each step in the simplification process. It concludes with an advanced example requiring double distribution, encouraging students to practice independently and check their answers.

What should you do if you get any of the warm-up problems wrong?

• Erase the wrong answer and leave it blank

• Ask a friend for the answer

• Write the correct answer and highlight the number

• Ignore them and move on

When is an algebraic expression considered to be in its simplest form?

• When it has no like terms and no distributive property

• When it has only one term

• When it has no variables

• When it has no constants

What is the first step in simplifying an expression?

• Combine like terms

• Distribute if possible

• Subtract all variables

• Add all constants

In the expression 3(2x - 5) + 8x + 1, what is the result after distributing?

• 6x - 5 + 8x + 1

• 3x - 5 + 8x + 1

• 6x - 15 + 8x - 1

• 6x - 15 + 8x + 1

After distributing in the expression 5(n + 6) - 21, what is the next step?

• Subtract all variables

• Add all constants

• Multiply all terms

• Combine like terms

What is the simplified form of the expression -7(w + 4) + 2w - 15?

• -7w - 28 + 2w - 15

• -7w - 28 + 2w + 15

• -7w + 28 + 2w + 15

• -7w + 28 + 2w - 15

In the expression 12(4 - k) - 9k, what is the result after combining like terms?

• 48 - 12k + 9k

• 48 - 12k - 9k

• 48 - 21k

• 48 + 21k

What is the simplified form of the expression 18 - (7v + 1)?

• 18 + 7v + 1

• 18 + 7v - 1

• 18 - 7v - 1

• 18 - 7v + 1

In the expression -6(p - 4) - 2p + 22, what is the result after distributing?

• -6p + 24 - 2p + 22

• -6p - 24 + 2p + 22

• -6p - 24 - 2p + 22

• -6p + 24 + 2p + 22

What is the final simplified form of the expression 8(2k - 7) - 4(k + 5)?

• 12k + 76

• 16k - 76

• 16k + 76

• 12k - 76