Distributing Expressions and Simplifying

The video tutorial explains how to simplify algebraic expressions by distributing and combining like terms. It covers two examples: the first involves distributing positive and negative numbers to clear parentheses, while the second example demonstrates distributing negative numbers and handling subtraction of terms. The tutorial emphasizes the importance of combining like terms to reach the final simplified expression.

What is the first step in simplifying the expression 4(3x + 7) - 5(4x - 6)?

• Subtract the x terms

• Combine like terms

• Distribute the numbers outside the parentheses

• Add the constants

When distributing positive four in the expression 4(3x + 7), what is the result?

• 12x + 28

• 7x + 28

• 3x + 7

• 12x - 28

What is the result of distributing negative five in the expression -5(4x - 6)?

• -20x + 30

• 20x + 30

• 20x - 30

• -20x - 30

After distributing and combining like terms in the first expression, what is the simplified form?

• -8x - 58

• -8x + 58

• 8x - 58

• 8x + 58

In the second expression, what is the result of distributing negative two in -2(5x - 4)?

• -10x + 8

• 10x - 8

• -10x - 8

• 10x + 8

What is the purpose of distributing a negative one in the expression -(4x - 6)?

• To add the terms

• To change the signs of the terms

• To divide the terms

• To multiply the terms

What is the result of distributing negative one in the expression -(4x - 6)?

• -4x + 6

• 4x - 6

• -4x - 6

• 4x + 6

After distributing and combining like terms in the second expression, what is the simplified form?

• -14x + 14

• 14x + 14

• 14x - 14

• -14x - 14

What is the final step in simplifying an expression after distribution?

• Add the constants

• Combine like terms

• Subtract the x terms

• Multiply the terms

What is the simplified form of the expression -2(5x - 4) - (4x - 6)?

• 14x - 14

• -14x + 14

• 14x + 14

• -14x - 14