1.
What is the algebraic expression to represent
m divided by 3
Correct Answer
B.
Explanation
The correct answer is m/3. This expression represents the division of m by 3.
2.
What is the algebraic expression to represent
two lots of p
Correct Answer
A.
Explanation
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.
3.
What is the algebraic expression to represent
y less than twenty
Correct Answer
D. 20 - y
Explanation
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.
4.
A ___________________ describes an unknown amount in an algebraic expression or equation.
It can be represented by letters or symbols (e.g., a, y) and can be called numerals (which means 'in place of a number).
Correct Answer
F. Variable
Explanation
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.
5.
The following are examples of ___________________ .
Correct Answer
E. Terms
Explanation
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.
6.
8x means that x is multiplied 8 times. The number in front of the term x is called the _______________.
Correct Answer
A. Coefficient
Explanation
The number in front of the term x in the expression 8x is called the coefficient.
7.
A number that is written by itself is called a _______________.
E.g. in the expression 3x + 6, the 6 is a _____________.
Correct Answer
B. Constant
Explanation
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.
8.
Two expressions joined together by an equals sign is
E.g. 3x + 6 = 2x - 4.
Correct Answer
C. An equation
Explanation
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.
9.
When two or more terms are added or subtracted together, it creates ___________________.
E.g. 3x + 4y
Correct Answer
D. An expression
Explanation
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.
10.
What is the algebraic expression to represent ten more than x?
Correct Answer
C. X + 10
Explanation
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.