Solving Equations with Variables on Each Side

What is the first step in solving an equation with variables on both sides?

• Subtract the variables from one side.

• Add the variables on both sides.

• Divide both sides by a constant.

• Multiply both sides by a constant.

If you have the equation 5x + 12 = 2x, what should you do to isolate x?

• Add 12 to both sides.

• Subtract 2x from both sides.

• Add 5x to both sides.

• Subtract 5x from both sides.

How do you verify that your solution to an equation is correct?

• By asking a friend to solve it.

• By graphing the equation.

• By solving the equation again.

• By checking if the solution satisfies the original equation.

What is the result of substituting x = -4 into the equation 5x + 12 = 2x?

• Both sides equal 12.

• Both sides equal 0.

• Both sides equal 8.

• Both sides equal -8.

When solving equations with fractions, what is an important step?

• Adding all fractions together.

• Multiplying by the largest fraction.

• Finding a common denominator.

• Ignoring the fractions.

In the equation 3/4x - 3 = 1/2x + 3, what is the common denominator?

• 6

• 3

• 4

• 2

What is the solution to the equation 3/4x - 3 = 1/2x + 3?

• x = 12

• x = 18

• x = 24

• x = 6

In the car rental word problem, what is the expression for Plan A?

• $80 + $15 per day

• $120 + $15 per day

• $120 + $20 per day

• $80 + $20 per day

For how many days will the cost of both car rental plans be equal?

• 12 days

• 10 days

• 8 days

• 5 days

What is the total cost for both plans when they are equal?

• $200

• $240

• $320

• $280