Solving Equations with Variables on Both Sides

Mr. Champlin guides students through solving equations with variables on both sides, focusing on distribution and combining like terms. He also covers solving equations with fractions by finding the least common denominator. The tutorial includes step-by-step instructions and encourages students to verify their solutions.

What is the main focus of this tutorial?

• Solving equations with variables on both sides

• Solving quadratic equations

• Factoring polynomials

• Graphing linear equations

What is the first step in solving the equation 6 - 3(x + 5) = 3x - x - 11?

• Subtract 5 from both sides

• Add 3 to both sides

• Distribute the negative 3

• Combine like terms

After distributing, what is the simplified form of 6 - 3(x + 5)?

• 6 + 3x + 15

• 6 - 3x - 15

• 6 - 3x + 15

• 6 + 3x - 15

What do you get when you combine like terms on the left side of the equation 6 - 3x - 15?

• 9 + 3x

• -9 + 3x

• 9 - 3x

• -9 - 3x

What is the next step after combining like terms in the equation -9 - 3x = 2x + 11?

• Divide by 5

• Multiply by 2

• Subtract 11 from both sides

• Add 3x to both sides

What is the least common denominator for the fractions 1, 4, and 3?

• 6

• 16

• 8

• 12

What do you get when you multiply the entire equation by the least common denominator?

• 12x = 3x - 1 - 4

• 12x = 3x + 4 - 1

• 12x = 3x + 1 - 4

• 12x = 3x + 1 + 4

What is the simplified form of 12(x + 1)/4?

• 6(x + 1)

• 3(x + 1)

• 4(x + 1)

• 12(x + 1)

What is the result of combining like terms in the equation 12x = 3x + 3 - 4?

• 12x = 3x + 1

• 12x = 3x - 7

• 12x = 3x - 1

• 12x = 3x + 7

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

• x = -9

• x = -1/9

• x = 1/9

• x = 9