Solving One-Step Equations in Algebra

What is the primary reason for performing the same operation on both sides of an equation?

• To simplify the equation

• To maintain the balance of the equation

• To isolate variables on one side

• To make the equation more complex

What principle is used to keep an equation balanced when solving for a variable?

• The principle of addition

• The principle of equality

• The principle of subtraction

• The principle of multiplication

Why is it necessary to perform the same operation on both sides of an equation?

• To find the value of the unknown variable

• To make the equation shorter

• To change the equation's structure

• To introduce new variables

In the equation x + 7 = 10, what operation do we perform to solve for x?

• Divide both sides by 7

• Add 7 to both sides

• Multiply both sides by 7

• Subtract 7 from both sides

What is the value of x in the equation x + 7 = 10?

• 3

• 17

• 7

• 10

How do we verify the solution of the equation x + 7 = 10?

• Divide x by 7

• Multiply x by 7

• Subtract 7 from x

• Add 7 to x

In the equation a - 5 = -2, what is the first step to solve for a?

• Add 5 to both sides

• Multiply both sides by 5

• Subtract 5 from both sides

• Divide both sides by 5

What is the value of a in the equation a - 5 = -2 after solving?

• -3

• 3

• -7

• 7

How can we check if the solution a = 3 is correct for the equation a - 5 = -2?

• Divide a by 5

• Multiply a by 5

• Subtract 5 from a

• Add 5 to a