Solving Equations with Variables on Both Sides

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

• Ignore the variables

• Multiply both sides by zero

• Use inverse operations to move variables to one side

• Add the variables together

In the equation 8 + 5c = 7c - 2, what operation is used to isolate the variable?

• Subtraction

• Multiplication

• Addition

• Division

When checking the solution of an equation, what should both sides of the equation equal?

• The same value

• The variable

• Different values

• Zero

What property is used when distributing 1/3 to both terms in the expression 1/3 * (18 + 12q)?

• Distributive Property

• Associative Property

• Commutative Property

• Identity Property

In the equation 6 = 8Q - 42, what is the next step after adding 42 to both sides?

• Multiply both sides by 8

• Subtract 8Q from both sides

• Add 8Q to both sides

• Divide both sides by 8

What does it mean if an equation has no solution?

• There is no value for the variable that makes the equation true

• The variable can be any number

• The equation is incorrect

• The equation is always true

What is the result when both sides of an equation simplify to the same expression?

• No solution

• One solution

• All solutions

• Infinite solutions

What is the first step in solving a geometric problem involving the area of triangles?

• Multiply the base by the height

• Set the areas equal to each other

• Divide the base by the height

• Add the base and height

In the equation 3H = 5(H - 2), what is the first step to isolate H?

• Add 2 to both sides

• Divide both sides by 3

• Subtract 5H from both sides

• Distribute 5 to both terms inside the parentheses

What is the final step in solving the equation -2H = -10?

• Add 10 to both sides

• Multiply both sides by -2

• Divide both sides by -2

• Subtract 10 from both sides