Solving Equations with Variables on Both Sides

What is the first step to consider when solving an equation with variables on both sides?

• Distribute multiplication over addition

• Check the solution

• Combine like terms

• Eliminate fractions

Which property allows you to multiply both sides of an equation by the same number to eliminate fractions?

• Associative Property

• Distributive Property

• Multiplicative Property of Equality

• Commutative Property

In the first example, what is the value of x after solving the equation 7 - 6x - 2x = 4x - 17?

• 2

• 3

• 1

• 4

What does it mean if, after solving an equation, you get a false statement like -6 = -5?

• The solution is zero

• There is no solution

• There are infinitely many solutions

• There is one solution

In the second example, what is the result of simplifying the equation 5x - 6 = 5(x - 1)?

• x = 1

• x = 0

• No solution

• Infinitely many solutions

What does it mean if, after solving an equation, you get a true statement like 16 = 16?

• There is no solution

• There are infinitely many solutions

• The solution is zero

• There is one solution

In the third example, what is the simplified form of the equation 4(3x + 2) = 1/2(24x + 16)?

• 24x + 8 = 24x + 8

• 24x + 16 = 24x + 16

• 12x + 8 = 12x + 8

• 24x + 8 = 12x + 8

In the cell phone plan scenario, what is the equation for the total cost of the first plan?

• T = 30m

• T = 85m

• T = 200 + 30m

• T = 200 + 85m

How many months will it take for the cost of the two cell phone plans to be the same?

• 4.5 months

• 5.2 months

• 3.63 months

• 2.5 months

In the reading scenario, how many days will it take for Bill and Kate to have read the same number of pages?

• 3 days

• 4 days

• 5 days

• 6 days