Solving Equations with Variables on Both Sides

What is the main focus of this lesson?

• Graphing linear equations

• Factoring polynomials

• Solving equations with variables on both sides

• Solving quadratic equations

In the equation 6n + 3 = 3n + 4, what is the first step to isolate the variable?

• Subtract 3n from both sides

• Add 3 to both sides

• Divide both sides by 6

• Multiply both sides by 3

What is the solution to the equation 5x + 6 = -3x + 2?

• x = -1/3

• x = 1/2

• x = -1/2

• x = 1/3

When using the distributive property, what is the result of 2(x + 3)?

• 2x + 3

• 2x + 6

• 2x + 3x

• x + 6

How can you check if your solution to an equation is correct?

• By using a calculator

• By solving a different equation

• By graphing the equation

• By substituting the solution back into the original equation

What is the simplified form of the left side of the equation 2(x + 3) + 3x + 4?

• 5x + 13

• 5x + 10

• 2x + 6 + 3x + 4

• 2x + 3 + 3x + 4

In the equation 6x + 21 = -2x + 6 - 41, what is the first step to simplify the right side?

• Subtract 6 from both sides

• Combine like terms

• Add 41 to both sides

• Distribute -2

What is the solution to the equation 10C - C - 35 - 10 = 3C + 21?

• C = 11

• C = 9

• C = -11

• C = -9

What is the simplified form of the equation 22 - y = -2(y - 3) - y - 4?

• -y + 22 = -2y + 6 - y - 4

• -y + 22 = -2y + 6 - 4

• -y + 22 = -2y + 6 - y + 4

• -y + 22 = -2y + 6 - y - 4

What is the final solution to the equation 22 - y = -2(y - 3) - y - 4?

• y = 10

• y = -10

• y = 20

• y = -20