Quadratics Domain and Transformations Mc

The phrase “four times the sum” requires adding first, then multiplying. The sum of nine and a number is written as (9 + n). Multiplying this entire quantity by four gives 4(9 + n). Options like 4n + 9 change the order of operations and incorrectly distribute the multiplication, leading to a different mathematical value than described in the statement.

“Decreased by 18” means subtracting 18 from the original number. Algebraically, subtraction is represented by the minus sign. Writing x − 18 correctly shows that 18 is removed from the value of x. Other options either reverse the subtraction or imply multiplication, which does not match the meaning of the phrase.

Substituting the value of m into the expression is required. Since m equals 17, the expression becomes 5 + 17. Performing the addition gives 22. The other choices result from incorrect operations such as multiplication or subtraction, which are not stated in the problem. This confirms that 22 is the correct evaluated result.

An equation is defined by the presence of an equal sign, which shows that two expressions have the same value. Expressions alone do not make comparisons. The equal sign allows solving for unknown variables, which is the main purpose of equations. Other options either describe expressions or give incomplete definitions lacking equality.

In algebra, when a number and a variable are written together, it indicates multiplication. Therefore, 25k means 25 multiplied by k. It does not represent addition, subtraction, or division unless symbols explicitly indicate those operations. This shorthand notation is standard in algebraic expressions and equations.

“Twenty-two times a number” translates to 22a. The phrase “decreased by three” means subtracting 3 from that product. Combining both parts results in 22a − 3. Other options either subtract in the wrong order or misrepresent the multiplication, leading to incorrect expressions.

The coefficient is the numerical factor that multiplies a variable. In the expression 1.55x, x is multiplied by 1.55. Therefore, 1.55 is the coefficient. The other values either change the decimal placement or ignore the role of multiplication in the expression.

“More than” indicates addition, not multiplication. Terms such as product, times, and twice clearly describe multiplying quantities. Since the question asks which does not indicate multiplication, “more than” is the correct choice because it signals an increase through addition instead.

The word “quotient” means division. “The quotient of 55 and z” translates directly to 55 divided by z, written as 55 ÷ z or 55/z. Other options represent multiplication, subtraction, or reversed division, which do not match the definition of quotient.

“Four less than a number” means subtracting four from the number. In algebra, the phrase “less than” reverses the order of subtraction. Therefore, x − 4 correctly represents removing four from x. Writing 4 − x would change the meaning and produce a different result.