Solve equations variables on both sides

What is the definition of an equation?

• A mathematical statement that asserts the equality of two expressions.

• A formula used to calculate the area of a shape.

• A type of graph that represents data points.

• A statement that shows the relationship between two variables.

What does it mean to 'combine like terms' in an equation?

• To multiply terms with different variables

• To simplify the equation by adding or subtracting terms that have the same variable and exponent.

• To divide terms with the same variable

• To rearrange the equation without changing its value.

Solve for x: 4(1-x)+3x=-2(x+1)

• x = 2

• x = -3

• x = -6

• x = 1

What is the last step in solving an equation?

• Substituting the solution back into the original equation to check for correctness.

• Simplifying the equation to its lowest terms.

• Isolating the variable on one side of the equation.

• Graphing the equation to find the solution.

What is the significance of checking your solution in an equation?

• To ensure the solution is the most complex form.

• To verify that the solution satisfies the original equation.

• To find alternative solutions to the equation.

• To simplify the equation further.

Solve the following equation for x: 10x - 6x = 23 + 5

• x = 5

• x = 6

• x = 7

• x = 8

What is the solution to the equation 8x - 8 = -4x + 16?

• x = 0

• x = 1

• x = 2

• x = 3

What does it mean to 'isolate the variable' in an equation?

• To manipulate the equation so that the variable is alone on one side.

• To add a constant to both sides of the equation.

• To multiply both sides of the equation by the same number.

• To substitute the variable with a numerical value.

Solve: 2(4x - 3) - 8 = 4 + 2x

• x = 1

• x = 2

• x = 3

• x = 4

What is the purpose of using the distributive property in solving equations?

• To eliminate parentheses and simplify the equation.

• To increase the complexity of the equation.

• To introduce new variables into the equation.

• To convert the equation into a quadratic form.