Understanding Algebra: Solving Equations

What does the variable 'x' represent in the equation x + 3 = 10?

• A coefficient

• A constant value

• An unknown number

• A known number

What operation would you perform to both sides of the equation x + 3 = 10 to solve for x?

• Divide by 3

• Multiply by 3

• Subtract 3

• Add 3

In the equation 5x - 3 = 17, what is the first step to isolate the variable?

• Subtract 5 from both sides

• Divide both sides by 5

• Add 3 to both sides

• Multiply both sides by 5

After simplifying 5x - 3 = 17 to 5x = 20, what is the next step to solve for x?

• Multiply by 5

• Divide by 5

• Subtract 5

• Add 5

What is the solution to the equation 5x = 20?

• x = 25

• x = 15

• x = 4

• x = 5

What does it mean when terms 'cancel out' in an equation?

• They add up to zero

• They are multiplied together

• They are moved to the other side of the equation

• They are subtracted from each other

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

• To solve the equation faster

• To make the equation more complex

• To change the variables

• To keep the equation balanced

In the equation 10 = 3x + 1, what is the first step to isolate the variable x?

• Subtract 1 from both sides

• Divide both sides by 3

• Add 1 to both sides

• Multiply both sides by 3

After simplifying the equation 10 = 3x + 1 to 9 = 3x, what should you do next?

• Add 3

• Subtract 3

• Divide by 3

• Multiply by 3

What is the final value of x in the equation 9 = 3x?

• x = 12

• x = 3

• x = 6

• x = 27