Solving Equations with Variables on Both Sides

What is the first step to take when solving equations with variables on both sides?

• Use inverse operations

• Check if the equation is balanced

• Distribute any constants

• Combine like terms on both sides

In the equation 8X - 7 = 4X + 21, why do we subtract 4X from both sides?

• To balance the equation

• To eliminate the constant term

• To isolate the variable on one side

• To make the equation simpler

What is the solution to the equation 4X = 28?

• X = 14

• X = 7

• X = 4

• X = 28

When solving the equation -2J + 11J = 9, what is the value of J?

• J = -9

• J = 9

• J = 4

• J = -4

What does it mean if you are left with a true statement like 3 = 3 after canceling variables?

• The solution is all real numbers

• The equation is invalid

• There is no solution

• The solution is zero

In the equation 14C - 7 = 14C - 7, what is the solution?

• C = 7

• All real numbers

• C = 0

• No solution

How do you start solving the word problem involving '2 more than 16 times a number'?

• By combining like terms

• By distributing the terms

• By solving for the constant

• By defining the variable

In the word problem, what does '21 less than the product of -7 and the number' translate to?

• -21 - 7N

• 21 - 7N

• -7N + 21

• -7N - 21

How many weeks will it take for Haley and Hank to have the same amount of money?

• 2 weeks

• 3 weeks

• 4 weeks

• 5 weeks

What is the final step in solving the equation 155 + 25W = 230?

• Subtract 155 from both sides

• Add 25W to both sides

• Divide both sides by 25

• Multiply both sides by 25