Algebra II: Foundations flashcards

Question 1

What is the absolute value of a number?

Accepted Answer

How far the number lies from zero on the number line

Question 2

Which number is the additive identity?

Accepted Answer

0

Question 3

Which number is the multiplicative identity?

Accepted Answer

1

Question 4

What is the additive inverse of a number a?

Accepted Answer

Its opposite, −a; a + (−a) = 0

Question 5

What is the multiplicative inverse of a number a ≠ 0?

Accepted Answer

Its reciprocal, 1/a; a · (1/a) = 1

Question 6

What is a prime number?

Accepted Answer

A counting number above 1 with no factors other than 1 and itself

Question 7

In a term, what is the coefficient?

Accepted Answer

The constant that multiplies the variable

Question 8

What is a complex fraction?

Accepted Answer

A fraction whose numerator or denominator is itself a fraction

Question 9

What are like terms?

Accepted Answer

Constant terms, or terms whose variables and exponents match exactly

Question 10

What is the LCM of two numbers?

Accepted Answer

The least number that both numbers divide into evenly

Question 11

What is the LCD of two fractions?

Accepted Answer

The least common multiple of their denominators

Question 12

What set of numbers is made of the whole numbers and their opposites?

Accepted Answer

The integers

Question 13

What is a rational number?

Accepted Answer

A number that can be written p/q with integers p, q and q ≠ 0

Question 14

What is true of the decimal form of an irrational number?

Accepted Answer

It neither stops nor repeats

Question 15

What is a real number?

Accepted Answer

Any number that is rational or irrational

Question 16

What is a percent?

Accepted Answer

A ratio whose denominator is 100

Question 17

By the Equivalent Fractions Property (b ≠ 0, c ≠ 0), a/b equals what?

Accepted Answer

(a · c)/(b · c)

Question 18

For b ≠ 0 and d ≠ 0, what is (a/b) · (c/d)?

Accepted Answer

(ac)/(bd)

Question 19

For b, c, d ≠ 0, what is (a/b) ÷ (c/d)?

Accepted Answer

(a/b) · (d/c)

Question 20

For c ≠ 0, what is a/c + b/c?

Accepted Answer

(a + b)/c

Question 21

What is a − b rewritten as an addition?

Accepted Answer

a + (−b)

Question 22

Which property states a + b = b + a for real numbers?

Accepted Answer

The commutative property of addition

Question 23

Which property states (a + b) + c = a + (b + c) for real numbers?

Accepted Answer

The associative property of addition

Question 24

By the distributive property, what is a(b + c) for real numbers?

Accepted Answer

ab + ac

Question 25

For a real number a, what is a/0?

Accepted Answer

Undefined

Question 26

When is a number divisible by 3?

Accepted Answer

When the sum of its digits is divisible by 3

Algebra II: Foundations flashcards

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