Ultimate Math Test On Expressions And Equations! Trivia Quiz

The correct answer is "a-17" or "A-17". This is because the phrase "a decreased by 17" can be translated into algebraic expression by subtracting 17 from the variable "a". The expression "a-17" represents the variable "a" decreased by 17. Similarly, "A-17" represents the variable "A" decreased by 17.

The given correct answer is m/n, M/N. This is because the expression "the ratio of m and n" can be represented algebraically as m/n or M/N, where m and n are variables representing any real numbers.

The correct answer is (a+b)-8. The expression "8 less than the sum of a and b" can be translated into algebraic notation by subtracting 8 from the sum of a and b.

The given expression "the quotient of 55 and z" can be translated into an algebraic expression as 55/z. This expression indicates that we divide 55 by the variable z to find the quotient.

The correct answer is "variable". In mathematics and programming, a variable is a symbol or letter that represents a value or quantity that can change. It is used to store and manipulate data in a program or equation. 

The coefficient of a variable in an algebraic expression is the numerical factor that is multiplied by the variable. For instance, in the expression (3x), the coefficient of (x) is (3). Similarly, in the expression (2y), the coefficient of (y) is (2). Coefficients provide information about the scale or magnitude of the variable's contribution to the expression. They help quantify the relationship between the variable and other terms in the expression. In summary, the coefficient represents the factor by which the variable is multiplied in the expression.

The English expression "15 more than one-third x" can be translated into an algebraic expression as "15 + 1/3x" or "15 + (1/3)x." This expression indicates that we first find one-third of x, and then add 15 to the result.

Addition (+), subtraction (-), multiplication (×), and division (/) are indeed mathematical operations used to perform calculations on numbers or quantities. Therefore, all of the listed symbols are operations.

The algebraic expression for "a number f decreased by 18" can be represented as f−18 In this expression,  f represents the number, and subtracting 18 from f accounts for the decrease by 18.

The correct answer is "the product of 25 and k". In mathematics, when two numbers are multiplied together, the result is called their product. Therefore, when we multiply 25 and k, we get the value of 25k.

The given expression "22 x a - 3" represents the phrase "twenty-two times a number, a, decreased by three". This can be understood by breaking down the expression: "22 x a" means multiplying 22 by a, and then subtracting 3 from the result. Therefore, the correct answer is "22 x a - 3".

The coefficient of x in the expression 1.55x is 1.55. In algebraic expressions, the coefficient is the number that multiplies the variable. In this case, x is being multiplied by 1.55, so 1.55 is the coefficient of x.

If ( m = 17 ), and we want to find the sum of 5 and ( m ), we can represent it algebraically as ( 5 + m ). Then we substitute the value of ( m ) into the expression:



[ 5 + m = 5 + 17 = 22 ]



So, the sum of 5 and ( m ) when ( m = 17 ) is 22.

The term "more than" does not mean multiplication. It indicates a comparison or an increase in quantity, but it does not involve the mathematical operation of multiplication. Therefore, "more than" is the option that does NOT mean multiplication.

The coefficient of y in the expression 22y/9 is 22/9. The coefficient is the number that multiplies the variable, in this case, y. In the given expression, 22 is the numerator and 9 is the denominator, so the coefficient is 22/9.

The expression "four less than a number" means subtracting four from the number. Therefore, the correct expression would be x-4, where x represents the number.

The given expression, 3x - 4, can be expressed in words as "4 less than the product of 3 and x," because it represents the result of multiplying $3$ and $�$ and then subtracting $4$ from that product.

An equation and an expression are both fundamental components of algebraic notation, but they serve different purposes. An equation represents a mathematical statement asserting the equality of two expressions and is denoted by an equal sign, such as \(x + 3 = 7\). Conversely, an expression consists of variables, constants, and operators, representing a mathematical phrase without asserting equality, like \(2x + 5\). While equations are used to solve for unknown variables, expressions are used to represent mathematical relationships or quantities. In essence, equations provide a framework for problem-solving, while expressions serve as the building blocks for mathematical operations and calculations.

The correct answer is (3 + 22) / a. This is because the question states that the sum of three and twenty-two should be divided by the number a. So, we first add three and twenty-two to get twenty-five, and then divide it by a.

The expression "twice the product of 3 and x" means multiplying 3 and x together and then multiplying the result by 2. This can be represented as 2(3x), where 2 is multiplied by the product of 3 and x.