Plant Growth and Algebraic Expressions

This video tutorial covers Math 7 Unit 6 Lesson 21, focusing on combining like terms and simplifying expressions. It begins with a cool down activity, followed by an analysis of two students' approaches to simplifying an expression. The lesson continues with steps to combine like terms and identify equivalent expressions through distribution and factoring. The tutorial concludes with a real-world problem involving the growth of a bean plant, requiring the formulation of an equation to determine the number of days for the plant to reach a certain height.

Which of the following expressions is equivalent to 6 - 2 * (6X + 3)?

• -12X

• 6X + 3

• 4 - 12X

• 4X - 12

What mistake did Noah make when solving the expression 6 - 2 * (6X + 3)?

• He added instead of multiplying.

• He subtracted before distributing.

• He forgot to include the variable.

• He multiplied incorrectly.

How do you simplify the expression 4 + 8X/2 - 5 + 2X?

• 10X - 5

• 4X + 3

• 6X - 1

• 2X + 4

What is the result of combining the like terms in 5X - 5X + 15 - 5?

• 10X - 5

• 0X + 10

• 10X

• 5X + 10

Which of the following is equivalent to 12X - 8X + 16 + 24?

• 4X + 40

• 20X + 40

• 12X + 8

• 4X + 8

If you factor out a 2 from 12X - 8X + 24, what is the resulting expression?

• 6X - 4X + 12

• 6X - 4X + 2

• 3X - 2X + 6

• 3X - 2X + 12

What is the initial height of the plant in the real-world problem?

• 3 cm

• 4 cm

• 79 cm

• 7 cm

How much does the plant grow each day in the given problem?

• 2 cm

• 3 cm

• 5 cm

• 4 cm

What is the final height of the plant in the problem?

• 78 cm

• 75 cm

• 80 cm

• 79 cm

How many days does it take for the plant to reach 79 cm if it grows 3 cm per day?

• 25 days

• 30 days

• 20 days

• 15 days