6th Grade - Topic 3 - Book Review

What are expressions and how can they be written and evaluated?

• Expressions are combinations of variables, constants, and operators that represent a value.

• Expressions can only be written using numbers and operators.

• Expressions are only used in programming languages.

• Expressions cannot be evaluated.

Answer explanation

The correct choice defines expressions as combinations of variables, constants, and operators that represent a value. This highlights their versatility in mathematics and programming, contrary to the other options.

A(n) ______ tells the number of times the base is used as a factor.

• exponent

• algebraic expression

• like terms

• coefficient

• factor tree

Tags

CCSS.8.EE.A.1

A letter or symbol that represents an unknown quantity is a(n) ______.

• exponent

• factor tree

• variable

• algebraic expression

• coefficient

Answer explanation

A variable is a letter or symbol used in mathematics to represent an unknown quantity. It is distinct from terms like exponent, coefficient, and algebraic expression, which have different meanings in mathematical contexts.

Tags

CCSS.6.EE.A.2B

A diagram that shows the prime factors of a composite number is a(n) ______.

• exponent

• coefficient

• factor tree

• like terms

• algebraic expression

Answer explanation

A diagram that shows the prime factors of a composite number is called a factor tree. It visually breaks down the number into its prime components, making it easier to understand its factorization.

What is one way to simplify the expression 4(3q - q)?

• Distribute the 4 to both terms inside the parentheses.

• Combine like terms inside the parentheses first.

• Factor out a common factor from the expression.

• Add 4 to each term inside the parentheses.

Answer explanation

To simplify 4(3q - q), first combine like terms inside the parentheses: 3q - q = 2q. This gives us 4(2q), which can then be distributed if needed. Thus, combining like terms is the correct first step.

Write each expression using an exponent. 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8

Write each expression using an exponent. 4

Tags

CCSS.6.EE.A.1

Write each expression using an exponent. 10 × 10 × 10 × 10

Tags

CCSS.6.EE.A.1

• 81

• 72

• 90

• 99

Tags

CCSS.6.EE.A.1

• 9

• 1

• 81

• 0

Tags

CCSS.6.EE.A.1