Simplifying Expressions and Distributing

The video tutorial explains how to simplify algebraic expressions by distributing coefficients and combining like terms. It covers three examples, demonstrating the process of distributing positive and negative coefficients, rewriting subtraction as addition, and rearranging terms for clarity. The tutorial emphasizes common practices in expression simplification, such as placing variable terms first and using subtraction instead of adding negative numbers.

What is the first step in simplifying the expression -5 + 2.9(X - 2)?

• Subtract 2

• Combine like terms

• Distribute 2.9

• Add 5

Tags

CCSS.6.EE.A.3

After distributing 2.9 in the expression -5 + 2.9(X - 2), what is the next step?

• Multiply by 2

• Combine like terms

• Add 2.9

• Subtract 5

Tags

CCSS.7.NS.A.1C

How can the expression -5 - 5.8 be rewritten?

• As 5 - 5.8

• As 5 + 5.8

• As -5 + (-5.8)

• As -5 + 5.8

Tags

CCSS.7.EE.A.1

What is the simplified form of -5 + 2.9X - 5.8?

• 2.9X - 10.8

• -2.9X + 10.8

• -2.9X - 10.8

• 2.9X + 10.8

Tags

CCSS.6.EE.A.3

In the expression -3(3X + 2.5) + 7, what is the result of distributing -3?

• -9X + 7.5

• -9X - 7.5

• 9X + 7.5

• 9X - 7.5

Tags

CCSS.7.EE.A.1

What is the simplified form of -9X - 7.5 + 7?

• -9X + 0.5

• 9X + 0.5

• 9X - 0.5

• -9X - 0.5

Tags

CCSS.6.EE.A.3

In the expression 5X - 1.7 - 8(X - 6), what is the result of distributing -8?

• -8X + 48

• 8X - 48

• -8X - 48

• 8X + 48

Tags

CCSS.7.EE.A.1

What is the simplified form of 5X - 8X + 46.3?

• -3X + 46.3

• 3X - 46.3

• 3X + 46.3

• -3X - 46.3

Tags

CCSS.7.NS.A.1B

What is the equivalent expression for subtracting 0.5?

• Adding -0.5

• Adding 0.5

• Subtracting -0.5

• Subtracting 1

Tags

CCSS.7.EE.A.1

What is the common way to express -9X + (-0.5)?

• -9X + 0.5

• 9X - 0.5

• -9X - 0.5

• 9X + 0.5

Tags

CCSS.7.EE.A.1