Solving Linear Equations and Perimeters

This video tutorial covers Unit 6, Lesson 22, focusing on combining like terms and using the distributive property to solve algebraic problems. The teacher guides students through solving perimeter problems, providing step-by-step solutions to various examples. The lesson includes advanced problem-solving techniques involving negative numbers and complex expressions. Students are encouraged to solve a final problem and share their work.

What is the main focus of Unit 6, Lesson 22?

• Understanding geometric shapes

• Graphing linear equations

• Combining like terms and using the distributive property

• Solving quadratic equations

If the perimeter of a shape is 48 units, what is the value of x?

• 4.5

• 5.5

• 6.5

• 7.5

In the problem where the perimeter is 94 units, what is the value of x?

• 8

• 9

• 10

• 11

What is the length of the rectangle if x is found to be 10 in the second problem?

• 7

• 6

• 8

• 5

In the problem with 12x + 14 = 38, what is the value of x?

• 2

• 4

• 3

• 1

What is the value of x in the equation 4x - 10 = 42?

• 11

• 14

• 12

• 13

In the equation -13x - 25 = 60, what is the value of x?

• -8.5

• -7.5

• -6.5

• -5.5

What is the result of dividing 85 by -13 in the context of the problem?

• -5.5

• -6.5

• -7.5

• -8.5

In the final problem, what is the value of x when -10x - 8 = 32?

• -5

• -4

• -3

• -2

What should students do after solving the final problem?

• Submit their answers online

• Write a summary

• Take a picture of their work

• Discuss with a partner