Solving Advanced Two Step Equations

Mrs. Angel teaches students how to solve tougher two-step equations by identifying terms, coefficients, and using properties of equality. The lesson covers solving equations with single terms that are products or quotients, and demonstrates step-by-step solutions for two example equations. Students are encouraged to practice solving similar equations and understand the importance of creating zero terms and big one factors. The lesson concludes with a recap of the key concepts and methods used.

What makes a two-step equation tougher compared to a regular two-step equation?

• It has more than two terms.

• The constant and variable term are grouped together.

• It involves only addition and subtraction.

• It has no coefficients.

Tags

CCSS.7.EE.B.4A

In the equation 2(x + 5) = 10, what is the first step to isolate the variable?

• Multiply both sides by 2.

• Divide both sides by 2.

• Subtract 5 from both sides.

• Add 5 to both sides.

Tags

CCSS.HSA.REI.A.1

After dividing both sides of the equation 2(x + 5) = 10 by 2, what is the resulting equation?

• x + 5 = 5

• 2x + 10 = 20

• x = 5

• x + 5 = 10

Tags

CCSS.HSA.REI.A.1

In the equation (x - 5)/2 = 10, what is the first step to isolate the variable?

• Multiply both sides by 2.

• Subtract 5 from both sides.

• Add 5 to both sides.

• Divide both sides by 2.

Tags

CCSS.7.EE.B.4A

After multiplying both sides of the equation (x - 5)/2 = 10 by 2, what is the resulting equation?

• x - 5 = 20

• x - 5 = 10

• x = 25

• x = 5

Tags

CCSS.HSA.REI.A.1

What is the solution to the equation (x - 5)/2 = 10?

• x = 25

• x = 10

• x = 20

• x = 5

Tags

CCSS.7.EE.B.4A

In the practice problem, what is the first step to solve the equation (x - 5)/2 = 10?

• Divide both sides by 2.

• Multiply both sides by 2.

• Subtract 5 from both sides.

• Add 5 to both sides.

Tags

CCSS.7.EE.B.4A

What is the solution to the practice problem equation (x - 5)/2 = 10?

• x = 5

• x = 10

• x = 15

• x = 20

Tags

CCSS.7.EE.B.4A

In the final example, what is the first step to solve the equation -9(n + 5) = -45?

• Add 5 to both sides.

• Multiply both sides by -9.

• Subtract 5 from both sides.

• Divide both sides by -9.

Tags

CCSS.7.EE.B.4A

What is the solution to the final example equation -9(n + 5) = -45?

• n = 0

• n = 5

• n = 10

• n = -5

Tags

CCSS.7.EE.B.4A