Exploring Unit 6 Lesson 4: Adding and Subtracting Rational Expressions

The video tutorial covers reasoning about equations and tape diagrams, focusing on mental math and algebraic thinking. It introduces tape diagrams as a tool for solving real-world problems and demonstrates how to match equations to specific scenarios. The tutorial includes practice problems and homework exercises to reinforce learning.

What is the value of x in the equation x + 1 = 5?

• 6

• 5

• 3

• 4

Tags

CCSS.7.EE.B.4A

In the equation 2(x + 1) = 10, what is the value of x?

• 3

• 6

• 5

• 4

Tags

CCSS.HSA.CED.A.3

Diego has seven packs of markers, each containing x markers. After receiving 9 more markers, he has a total of 30 markers. What is the equation representing this scenario?

• x + 7 + 9 = 30

• 9x + 7 = 30

• 7 + 9x = 30

• 7x + 9 = 30

Tags

CCSS.HSA.CED.A.3

Elena cuts a 30-foot ribbon, removes 7 feet, and divides the rest into 9 equal lengths of x feet. What is the equation for this scenario?

• 30 - 7 = 9x

• 9x + 7 = 30

• 30 = 7 + 9x

• 7x + 9 = 30

Tags

CCSS.HSA.CED.A.3

A construction manager weighs a bundle of 9 identical bricks and a 7-pound concrete block, totaling 30 pounds. What is the equation for this scenario?

• 9x + 7 = 30

• 7x + 9 = 30

• 30 = 7x + 9

• 30 = 9 + 7x

Tags

CCSS.HSA.CED.A.3

A family pays a $9 group rate plus a fee for each of 7 pairs of skates, totaling $30. What is the equation for this scenario?

• 9 + 7x = 30

• 7 + 9x = 30

• 30 = 7 + 9x

• 30 = 9 + 7x

Tags

CCSS.HSA.CED.A.3

Andre bakes 9 pans of brownies, donates 7, and divides the rest among 30 students. What is the equation for this scenario?

• 7 + 30x = 9

• 9 = 7 + 30x

• 9 + 30x = 7

• 30 = 7 + 9x

Tags

CCSS.7.EE.B.4A

What is the solution to the equation 6x + 3 = 27?

• x = 4

• x = 5

• x = 3

• x = 6

Tags

CCSS.7.EE.B.4A

What is the solution to the equation 27x + 3 = 6?

• x = 1/27

• x = 1/15

• x = 1/9

• x = 1/3

Tags

CCSS.4.MD.A.3

If a square has a side length of 7 cm, what is its perimeter?

• 21 cm

• 28 cm

• 35 cm

• 42 cm

Tags

CCSS.4.MD.A.3