Basics of Solving Algebraic Equations

What is the key strategy for solving equations with an unknown value?

• Isolating the unknown value on one side of the equation

• Multiplying both sides by the unknown value

• Adding the same number to the unknown value

• Guessing the value of the unknown

What must be done to both sides of an equation when making changes to keep it balanced?

• Only change one side at a time

• Make the same change to both sides

• Add different values to each side

• Subtract the same value from the unknown

How can you solve the equation x + 7 = 15?

• Multiply both sides by 7

• Subtract 7 from both sides

• Add 7 to both sides

• Divide both sides by 7

What is the solution to the equation 40 = 25 + x?

• x = 25

• x = 10

• x = 65

• x = 15

If x - 5 = 16, what does x equal?

• x = 11

• x = 5

• x = 21

• x = 16

To solve 10 = x - 32, what operation do you perform?

• Divide both sides by 32

• Multiply both sides by 32

• Subtract 32 from both sides

• Add 32 to both sides

In the equation 12 - x = 5, what is a correct step to solve for x?

• Subtract 12 from both sides

• Add x to both sides

• Add 5 to both sides

• Subtract x from both sides

What does x equal in the equation 12 - x = 5 after rearranging?

• x = -7

• x = 7

• x = 12

• x = 5