Solving Basic Linear Equations in 7 Minutes

What is the main goal when solving an equation?

• To make both sides of the equation equal zero

• To simplify the equation as much as possible

• To eliminate all variables

• To find the value of the variable that makes the equation true

When solving the equation x + 2 = 4, what is the first step?

• Divide both sides by 2

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 2

In the equation -2x = 6, what operation should be performed to solve for x?

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by -2

• Divide both sides by -2

What is the reciprocal of 2/3?

• 2/3

• 3

• 1/2

• 3/2

How do you solve the equation 2/3x = 5?

• Multiply both sides by 2/3

• Divide both sides by 2/3

• Multiply both sides by 3/2

• Divide both sides by 3/2

What should you do first when you see parentheses in an equation?

• Combine like terms

• Apply the distributive property

• Move all variables to one side

• Move all numbers to one side

In the equation 2(x + 1) = 7, what is the result after applying the distributive property?

• 2x + 1 = 14

• 2x + 2 = 14

• 2x + 2 = 7

• 2x + 1 = 7

After applying the distributive property and simplifying, what is the next step in solving 2x + 2 = 7?

• Subtract 2 from both sides

• Multiply both sides by 2

• Divide both sides by 2

• Add 2 to both sides

What is the solution to the equation 2x + 2 = 7?

• x = 5

• x = 1.5

• x = 2.5

• x = 3

What is a common mistake students make when solving equations?

• All of the above

• Ignoring the distributive property

• Combining unlike terms

• Not showing their work