Solving Linear Equations with One Variable

This video tutorial explains how to solve linear equations with one variable using the addition and multiplication properties. It provides examples of using the addition property to isolate variables, combining both properties to solve equations, and handling equations with fractions. The tutorial emphasizes the importance of practicing these techniques.

What properties are used to solve linear equations with one variable?

• Addition and Subtraction

• Addition and Multiplication

• Subtraction and Division

• Multiplication and Division

Tags

CCSS.HSA.REI.A.1

In the equation x - 4 = 2, what should be added to both sides to isolate x?

• 4

• 2

• 6

• 8

Tags

CCSS.6.EE.B.7

After adding 4 to both sides of the equation x - 4 = 2, what is the resulting equation?

• x = 6

• x = 2

• x = 8

• x = 4

Tags

CCSS.6.EE.B.7

In the equation 9 = 2x - 1, what should be added to both sides to start isolating x?

• 9

• 2

• 10

• 1

Tags

CCSS.7.EE.B.4A

After applying the addition property to the equation 9 = 2x - 1, what is the new equation?

• 9 = 2x

• 11 = 2x

• 8 = 2x

• 10 = 2x

Tags

CCSS.HSA.REI.A.1

What is the next step after obtaining 10 = 2x in the equation 9 = 2x - 1?

• Divide both sides by 2

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 2

Tags

CCSS.7.EE.B.4A

What is the final value of x in the equation 9 = 2x - 1?

• x = 4

• x = 10

• x = 2

• x = 5

Tags

CCSS.7.EE.B.4A

In the equation 2/3 x = 8, what should be multiplied to both sides to isolate x?

• 2

• 2/3

• 3/2

• 3

Tags

CCSS.6.EE.B.7

After multiplying both sides of 2/3 x = 8 by 3/2, what is the resulting equation?

• x = 4

• x = 8

• x = 12

• x = 16

Tags

CCSS.HSA.REI.A.1

What is the final value of x in the equation 2/3 x = 8?

• x = 8

• x = 12

• x = 4

• x = 16

Tags

CCSS.6.EE.B.7