Mastering Multistep Equation Solutions

The video tutorial for seventh graders covers solving multi-step equations. It begins with an introduction and an overview of the steps involved in solving such equations, including distributing, combining like terms, and using opposite operations. The teacher then walks through four example problems, each demonstrating different aspects of solving equations, such as using the distributive property and handling complex equations. The video concludes with extra practice problems and encourages students to pause and review as needed.

What is the first step in solving multi-step equations?

• Combine like terms

• Solve using opposite operations

• Isolate the variable

• Distribute and clear decimals/fractions

In the equation 6(1 - 3a) + 2 = -136, what is the result after distribution?

• 6 - 3a + 2

• 6 + 18a + 2

• 1 - 18a + 12

• 6 - 18a + 2

How do you combine like terms in the equation 6 - 18a + 2 = -136?

• 6 - 16a

• 8 + 18a

• 4 - 18a

• 8 - 18a

What is the final solution for the equation 8 - 18a = -136?

• a = -18

• a = 18

• a = -8

• a = 8

How do you handle the equation when variables are on both sides, as in 12r and 21r?

• Combine them directly

• Add them together

• None of the above

• Subtract one from the other

In the equation 12r = 3 + 9r, what is the value of r?

• r = 12

• r = 9

• r = 1

• r = 3

What is the result of combining like terms on the right side in the equation 3b + 6b?

• 9b

• 18b

• 3b

• 6b

What is the correct operation to isolate the variable in the equation 22 = -2b?

• Multiply by -2

• Divide by -2

• Add 2

• Subtract 2

After distributing and simplifying, what is the simplified form of the left side in the equation -2(8n - 8) - 5?

• -16n + 11

• -16n + 16

• 16n - 13

• -16n - 13

What is the final value of n in the equation 20n - 9 = 11?

• n = 9

• n = 20

• n = 0

• n = 1