Algebra - Variables And Expressions Quiz

The correct answer is m/3. This expression represents the division of m by 3.

The algebraic expression that represents ten more than x is x + 10. This is because the question asks for "ten more than x," which means adding 10 to x.

The algebraic expression to represent "two lots of p" is 2p. This means that p is being multiplied by 2, resulting in twice the value of p.

An equation is a mathematical statement that contains an equals sign, where two expressions are joined together. In the given example, "3x + 6 = 2x - 4," we have two expressions on either side of the equals sign, making it an equation. The equation represents a relationship between the variables (x) and their coefficients (3 and 2), as well as the constants (6 and -4) involved.

A variable is used to represent an unknown amount in an algebraic expression or equation. It can be represented by letters or symbols (e.g., a, y) and is often referred to as a numeral, meaning it stands in place of a number. Variables allow for flexibility and generalization in mathematical calculations and problem-solving.

The algebraic expression that represents "y less than twenty" is 20 - y. This is because when we say "y less than twenty," we mean that y is subtracted from twenty. So, the expression is written as 20 - y.

When two or more terms are added or subtracted together, it creates an expression. In the given example, 3x and 4y are terms that are added together to form the expression 3x + 4y. An expression is a mathematical phrase that can contain variables, coefficients, and constants. It represents a value or a quantity, but it is not an equation as it does not have an equal sign.

The given examples are all related to mathematical expressions. In mathematics, a term is a component of an expression that is separated by addition or subtraction. It can be a constant, a variable, or a combination of both. Therefore, the correct answer is "terms" because it encompasses all the other options and represents the individual components of an expression.

A number that is written by itself is called a constant. In the given expression 3x + 6, the 6 is a constant because it is a fixed value that does not change regardless of the value of x. It is not a coefficient, equation, expression, term, or variable as those have different meanings in mathematics.

The number in front of the term x in the expression 8x is called the coefficient.