Solving Multi-Step Equations with Parentheses

This video tutorial from Moomoomath and Science demonstrates how to solve multi-step equations that include parentheses. The instructor walks through three example problems, explaining the process of distributing terms, isolating variables, and combining like terms to find the solution. Each example is solved step-by-step, with the instructor verifying the solution by substituting it back into the original equation. The video concludes with a prompt to subscribe for daily math and science content.

What is the first step in solving the equation 18 = 3(3x - 6)?

• Divide by 3

• Subtract 3 from both sides

• Distribute the 3

• Add 6 to both sides

Tags

CCSS.7.EE.B.4A

After distributing the 3 in the equation 18 = 3(3x - 6), what is the resulting equation?

• 18 = 3x + 6

• 18 = 9x + 18

• 18 = 9x - 18

• 18 = 3x - 6

Tags

CCSS.6.EE.A.3

What is the value of x in the equation 18 = 3(3x - 6)?

• x = 5

• x = 2

• x = 3

• x = 4

Tags

CCSS.7.EE.B.4A

What is the first step in solving the equation 10(1 + 3b) = -20?

• Distribute the 10

• Add 10 to both sides

• Subtract 10 from both sides

• Divide by 10

Tags

CCSS.7.EE.B.4A

After distributing the 10 in the equation 10(1 + 3b) = -20, what is the resulting equation?

• 10 + 3b = 20

• 10 + 30b = 20

• 10 + 3b = -20

• 10 + 30b = -20

Tags

CCSS.HSA.REI.A.1

What is the value of b in the equation 10(1 + 3b) = -20?

• b = -2

• b = 1

• b = -1

• b = 0

Tags

CCSS.7.EE.B.4A

What is the first step in solving the equation 37 = -3 + 5(x + 6)?

• Add 3 to both sides

• Divide by 5

• Subtract 3 from both sides

• Distribute the 5

Tags

CCSS.7.EE.B.4A

After distributing the 5 in the equation 37 = -3 + 5(x + 6), what is the resulting equation?

• 37 = 5x + 3

• 37 = 5x + 33

• 37 = 5x + 27

• 37 = 5x + 30

Tags

CCSS.HSA.REI.A.1

What is the value of x in the equation 37 = -3 + 5(x + 6)?

• x = 1

• x = 4

• x = 3

• x = 2

Tags

CCSS.7.EE.B.4A

What should you do after solving a multi-step equation to ensure your solution is correct?

• Check the solution by plugging it back into the original equation

• Ask a friend to verify

• Move on to the next problem

• None of the above

Tags

CCSS.8.EE.C.7B