Topic 3.1 through 3.4 Review

Front

What is the value of 3 in a mathematical context?

Back

3 is a whole number and an integer, representing a quantity or count.

Front

What does the number 42 represent in mathematics?

Back

42 is an integer and can represent a specific quantity or value in various mathematical contexts.

Front

What is the expression 5(m + 3) used for?

Back

5(m + 3) is a linear expression that can be used to represent a relationship between variables, often in algebraic equations.

Front

What does 2^3 equal?

Back

2^3 equals 8, as it represents 2 multiplied by itself three times.

Front

What is the significance of the number 3 in various mathematical operations?

Back

The number 3 can represent a base in exponentiation, a coefficient in algebra, or a count in set theory.

Front

How do you solve for m in the equation 5(m + 3) = 20?

Back

To solve for m, first divide both sides by 5 to get m + 3 = 4, then subtract 3 from both sides to find m = 1.

Front

What is the concept of integers in mathematics?

Back

Integers are whole numbers that can be positive, negative, or zero, and do not include fractions or decimals.

Front

How do you evaluate the expression 2^3?

Back

To evaluate 2^3, calculate 2 * 2 * 2, which equals 8.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing for the multiplication of a single term across a sum.

Front

What is the difference between a coefficient and a constant in algebra?

Back

A coefficient is a numerical factor in a term (e.g., 5 in 5x), while a constant is a fixed value that does not change (e.g., 3 in 5x + 3).