Translating Algebraic Expressions

What is meant by 'the product of a number and 7'?

• It means to add the number to 7.

• It means to multiply the number by 7, represented as 7x.

• It means to subtract 7 from the number.

• It means to divide the number by 7.

What does 'the square of a number' mean in algebraic terms?

• It means to add the number to itself, represented as x + x.

• It means to multiply the number by itself, represented as x^2.

• It means to subtract the number from itself, represented as x - x.

• It means to divide the number by itself, represented as x / x.

What does 'nine times the sum of a number and three' translate to in algebra?

• 9(x + 3)

• 9x + 3

• 9(x + 9)

• 3x + 9

How do you express 'the difference of 10 and a number' in algebra?

• 10 + x

• 10 - x

• 10 * x

• 10 / x

What is an algebraic expression?

• A mathematical phrase that can include numbers, variables, and operation symbols.

• A type of equation that only contains numbers.

• A graphical representation of a function.

• A constant value that does not change.

What is the difference between an expression and an equation?

• An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

• An expression is a statement that can be true or false, while an equation is a mathematical sentence that shows the relationship between two expressions.

• An expression always includes an equality sign, while an equation does not.

• An expression is a single number, while an equation is a combination of multiple numbers.

How do you translate 'the quotient of x and 4' into an algebraic expression?

• @@rac{x}{4}@@

• @@x + 4@@

• @@4 - x@@

• @@4x@@

How do you express 'the product of 16 and y' in algebraic form?

• 16y

• 16 + y

• 16 - y

• y/16

What does 'the difference of n and 9' mean in algebraic terms?

• It means to add 9 to n, represented as n + 9.

• It means to subtract 9 from n, represented as n - 9.

• It means to multiply n by 9, represented as n * 9.

• It means to divide n by 9, represented as n / 9.

How is 'm plus the product of 6 and n' represented algebraically?

• m + 6n

• m * 6 + n

• 6 + mn

• 6n + m