Algebraic Equations

What is the inverse operation of addition?

• Multiplication

• Subtraction

• Division

• Exponentiation

What is the difference between an expression and an equation?

• An expression is a combination of numbers and variables with an equality sign, while an equation does not include an equality sign.

• An expression is a combination of numbers and variables without an equality sign, while an equation includes an equality sign.

• An expression can only contain numbers, while an equation can contain both numbers and variables.

• An expression is always equal to zero, while an equation can have any value.

How do you check if your solution to an equation is correct?

• Substitute the value back into the original equation to see if both sides are equal.

• Multiply both sides of the equation by the same number.

• Add the same value to both sides of the equation.

• Graph the equation and see if the solution lies on the line.

What is an algebraic equation?

• A mathematical statement that shows the equality of two expressions, which can include numbers, variables, and operations.

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

• An expression that contains only numbers and no variables.

• A type of graph that represents linear relationships.

What does the variable 'm' represent in an equation?

• A constant value that does not change

• An unknown value that can change or vary in an equation

• A specific number defined in the equation

• The coefficient of a variable in the equation

What is the first step in solving an algebraic equation?

• Identify the variable and isolate it on one side of the equation.

• Add the same number to both sides of the equation.

• Multiply both sides by the coefficient of the variable.

• Substitute the variable with a number.

If e = 13, what is the value of 14 + e?

• 24

• 25

• 26

• 27

If b = 9, what is the value of b - 5?

• 2

• 3

• 4

• 5

If m = 11, what is the value of 21 - m?

• 8

• 9

• 10

• 11

What does it mean to isolate a variable?

• To get the variable alone on one side of the equation, usually by performing inverse operations.

• To combine all variables into one term on one side of the equation.

• To eliminate the variable from the equation entirely.

• To substitute the variable with a constant value.