Exploring Interactive Whiteboard Techniques

This video tutorial covers lesson 4 of day two, focusing on simplifying expressions using the distributive property and combining like terms. The instructor demonstrates several examples, using area models to distribute terms and combine like terms, including handling negative coefficients and multiple variables. The lesson concludes with a final example and encourages students to practice independently.

What is the result of distributing 3 to the terms inside the parentheses in the expression 3(1 + 3x) + 2x?

• 3 + 9x + 2x

• 3 + 3x + 2x

• 9x + 5

• 3 + 6x

Tags

CCSS.6.EE.A.3

When combining like terms in the expression 9x + 2x, what is the resulting coefficient of x?

• 11

• 7

• 12

• 9

Tags

CCSS.7.EE.A.1

What does the expression -4(2n + 6) simplify to?

• -6n - 24

• -12n - 24

• -8n - 24

• -8n + 24

Tags

CCSS.6.EE.A.3

After distributing and combining like terms, what is the simplified form of -1n - 4(2n + 6)?

• -8n - 24

• -10n - 24

• -6n - 24

• -9n - 24

Tags

CCSS.6.EE.A.3

In the expression 5(1j + 3k) + 4(8j + 2k), what is the coefficient of j after combining like terms?

• 13

• 45

• 40

• 37

What is the final simplified form of the expression involving 5(1j + 3k) and 4(8j + 2k)?

• 37j + 23k

• 32j + 15k

• 35j + 20k

• 42j + 25k

What is the result of distributing -6 to the binomial 3a - 2b?

• -18a - 12b

• 18a - 12b

• -6a + 4b

• -18a + 12b

Tags

CCSS.7.EE.A.1

After simplifying the expression -6(3a - 2b) - 4(3b + 3), what are the remaining terms?

• -18a - 12

• -18a + 12

• 18a - 12

• -6a - 12

Tags

CCSS.6.EE.A.3

What is the simplified result of the expression -1(3x + 7) + 9(2x + 11)?

• 12x + 99

• 18x + 92

• 15x + 99

• 15x + 92

Tags

CCSS.6.EE.A.3

How do you combine the terms -3x and 18x in the expression -1(3x + 7) + 9(2x + 11)?

• 9x

• 12x

• 21x

• 15x

Tags

CCSS.6.EE.A.3