Mastering Distribution and Combining Like Terms

The video tutorial explains how to simplify algebraic expressions by clearing parentheses and combining like terms. It covers distributing numbers across terms within parentheses, handling subtraction carefully, and combining terms with the same variables. The tutorial provides step-by-step examples to illustrate these concepts, ensuring a clear understanding of the simplification process.

What is the first step in simplifying an expression?

• Adding coefficients

• Subtracting variables

• Clearing the parentheses

• Combining like terms

Tags

CCSS.7.EE.A.1

What is the result of distributing 5 in the expression 5(3x - 6y)?

• 5x - 6y

• 15x + 30y

• 15x - 30y

• 3x - 6y

Tags

CCSS.6.EE.A.3

How do you handle subtraction when clearing parentheses?

• Add the terms inside the parentheses

• Distribute a negative one

• Multiply the terms inside the parentheses

• Ignore the subtraction

Tags

CCSS.6.EE.A.3

What is the simplified form of 15x - 1x?

• 14x

• 13x

• 15x

• 16x

Tags

CCSS.7.EE.A.1

What is the result of combining -30y and 2y?

• -28y

• 28y

• 32y

• -32y

Tags

CCSS.7.EE.A.1

What should you be careful about when clearing parentheses in the second expression?

• Multiplying the terms

• Distributing a negative number

• Ignoring the parentheses

• Adding the terms

Tags

CCSS.6.EE.A.4

What is the simplified form of 6c + 5c - 27c?

• -11c

• 16c

• 11c

• -16c

Tags

CCSS.7.EE.A.1

What is the result of distributing -2 in the expression -2(-z - 3)?

• -2z - 6

• 2z + 6

• -2z + 6

• 2z - 6

Tags

CCSS.6.EE.A.3

What is the simplified form of 2z + 28z?

• 32z

• 28z

• 26z

• 30z

Tags

CCSS.7.EE.A.1

What is the final simplified form of the expression 2z + 28z + 6 - 20?

• 30z - 14

• 30z + 14

• 28z + 14

• 28z - 14

Tags

CCSS.7.EE.A.1