Solving Linear Equations

The video tutorial covers solving algebraic equations using tape diagrams and algebraic methods. It begins with solving 30 = 5w using tape diagrams, followed by solving 12 = x/4 algebraically. The tutorial then demonstrates using tape diagrams for y/5 = 15 and solving 18z = 72 algebraically. It also includes creating division and multiplication equations with a solution of 8. Finally, it compares solutions from two students, Megan and Meredith, for the equation y/2 = 4, highlighting the correct approach.

What is the value of w in the equation 30 = 5w when using tape diagrams?

• 8

• 6

• 5

• 7

How do you solve the equation 12 = x/4 algebraically?

• Subtract 4 from both sides

• Add 4 to both sides

• Divide both sides by 4

• Multiply both sides by 4

What is the value of x in the equation 12 = x/4?

• 60

• 24

• 36

• 48

In the equation y/5 = 15, what is the value of y when using tape diagrams?

• 70

• 65

• 75

• 60

What operation is used to solve 18z = 72 algebraically?

• Subtract 18

• Divide by 18

• Add 18

• Multiply by 18

What is the value of z in the equation 18z = 72?

• 4

• 3

• 2

• 5

Which equation has a solution of 8?

• k/8 = 1

• k/2 = 4

• k/4 = 2

• k/16 = 0.5

What is the correct method to solve y/2 = 4?

• Multiply by 2

• Divide by 2

• Add 2

• Subtract 2

What is the value of w in the equation 4w = 32?

• 6

• 7

• 8

• 9

Who solved the equation y/2 = 4 correctly, Megan or Meredith?

• Megan

• Meredith

• Both

• Neither