Pre-Algebra Vocabulary Quiz 1

What is the Distributive Property?

• A property indicating a special way in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses.

• A property that shows how to add numbers.

• A property that indicates the order of operations.

• A property that defines rational numbers.

Answer explanation

The Distributive Property states that a factor outside parentheses can be multiplied by each term inside, allowing for easier calculations. This makes the first answer choice correct.

Tags

CCSS.6.EE.A.3

What does the term "evaluate" mean in mathematics?

• To solve or find the value of an expression.

• To write an equation.

• To multiply numbers.

• To divide numbers.

Answer explanation

In mathematics, to "evaluate" means to solve or find the value of an expression. This involves calculating the result of the expression, making the first answer choice the correct one.

Tags

CCSS.6.EE.A.2C

What is an Expression in mathematics?

• A math phrase that has terms and operations but no equal sign.

• A statement that shows two expressions are equal.

• A number that is raised to a power.

• A set of all rational numbers.

Answer explanation

An expression in mathematics is defined as a math phrase that includes terms and operations but does not have an equal sign. This distinguishes it from equations, which do show equality.

Tags

CCSS.6.EE.A.2B

What is the Order of Operations?

• The order in which operations in an expression are evaluated using PEMDAS.

• The order in which numbers are added.

• The order in which equations are solved.

• The order in which graphs are drawn.

Answer explanation

The correct choice explains that the Order of Operations refers to the sequence of evaluating expressions using PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), which is essential for accurate calculations.

What is an Equation?

• A mathematical statement that shows two expressions are equal.

• A math phrase with no equal sign.

• A number that cannot be expressed as a ratio.

• A graph of distinct points.

Answer explanation

An equation is defined as a mathematical statement that asserts the equality of two expressions, making the first answer choice correct. The other options describe different mathematical concepts.

Tags

CCSS.6.EE.A.2C

What are Exponents?

• The small number that is raised to show how many times to multiply the base number by itself.

• A large number that is added to another number.

• A number that is divided by another number.

• A number that is subtracted from another number.

Answer explanation

Exponents are represented by a small number that indicates how many times to multiply the base number by itself. This definition matches the correct answer choice, distinguishing it from other mathematical operations.

Tags

CCSS.6.EE.A.1

What are Real Numbers?

• The set of all rational and irrational numbers.

• Numbers that can only be expressed as fractions.

• Numbers that are only whole numbers.

• Numbers that are only decimals.

Answer explanation

Real numbers include both rational numbers (fractions) and irrational numbers (non-repeating, non-terminating decimals). Thus, the correct choice is 'The set of all rational and irrational numbers.'

Tags

CCSS.HSN.RN.B.3

What are Rational Numbers?

• All numbers that can be expressed as a fraction.

• Numbers that cannot be expressed as a ratio.

• Numbers that are only whole numbers.

• Numbers that are only decimals.

Answer explanation

Rational numbers are defined as all numbers that can be expressed as a fraction, including integers and finite decimals. The other options incorrectly describe irrational numbers or limit the definition to specific types.

Tags

CCSS.6.NS.C.6

CCSS.6.NS.C.7

What are Irrational Numbers?

• Numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating.

• Numbers that can be expressed as a fraction.

• Numbers that are only whole numbers.

• Numbers that are only decimals.

Answer explanation

Irrational numbers are defined as numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating, distinguishing them from rational numbers, which can be expressed as fractions.

Tags

CCSS.8.NS.A.1

What is Direct Variation?

• The relationship between two variable quantities that have a constant ratio.

• A graph of distinct points.

• A math phrase with no equal sign.

• A number that is raised to a power.

Answer explanation

Direct variation describes a relationship where two variables change together at a constant ratio, meaning as one variable increases, the other does so proportionally. This is correctly defined in the first answer choice.

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2