Real Numbers and Inequalities Flashcards

Questions and Answers

Which phrase represents the algebraic expression $\frac{1}{4}d + 7$?

One-fourth of a number plus seven (correct)

Four times a number plus seven

Seven divided by a quarter of a number

Seven minus one-fourth of a number

Which phrase represents the algebraic expression $\frac{3p + 6}{7p - 9}$?

Seven times a number minus nine, divided by three times a number plus six (correct)

The product of three times a number and six divided by seven times a number minus nine

Three times a number plus six, all multiplied by seven times a number minus nine

The sum of three times a number and six, divided by seven times a number minus nine

Which algebraic expression represents the phrase 'two times the quantity of a number minus 12'?

2n + 12

n - 12 + 2

2n - 12

2(n - 12) (correct)

Which property of real numbers is shown? $-6 + 6 = 0$

Inverse Property Signup and view all the answers

Which of the following sets is closed under division?

Non-Zero Rational Numbers Signup and view all the answers

Given $4c + 5 = 0$ and C is a real number, what is the multiplicative inverse?

C Signup and view all the answers

Which number is an irrational number?

-\sqrt{3} Signup and view all the answers

Which represents four times a number?

4n Signup and view all the answers

Which represents the solution set of $5(x + 5)$?

The set of all values for x that satisfy the equation. Signup and view all the answers

Study Notes

Real Numbers and Inequalities

The expression -6(4x + 5) = -24x - 30 exemplifies the Distributive Property of real numbers.
The algebraic expression 1/4 d + 7 can be represented with the phrase: "one fourth of d added to seven."
The algebraic expression for 3p + (6/7)p - 9 can be expressed as: "three times p plus six-sevenths of p minus nine."
The phrase "two times the quantity of a number minus 12" translates to the algebraic expression: "2(n - 12)."
The equation -6 + 6 = 0 demonstrates the Additive Inverse Property of real numbers.
The set of Non-Zero Rational Numbers is closed under division, indicating that dividing two non-zero rational numbers yields another non-zero rational number.
For the equation 4c + 5 = 0, the multiplicative inverse of c can be expressed as: "the reciprocal of c."
An example of an irrational number is -√3, which cannot be expressed as a fraction of integers.
The phrase representing "four times a number" can be formulated as: "4n," where n is the number.
The solution set for the expression 5(x + 5) can be framed as: "the values of x that satisfy the equation."

Description

Test your understanding of real numbers and inequalities with these engaging flashcards. Each card challenges you to apply properties and phrases in algebraic expressions. Perfect for students looking to enhance their algebra skills!