Podcast
Questions and Answers
Which phrase represents the algebraic expression $\frac{1}{4}d + 7$?
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 $\frac{3p + 6}{7p - 9}$?
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'?
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? $-6 + 6 = 0$
Which property of real numbers is shown? $-6 + 6 = 0$
Which of the following sets is closed under division?
Which of the following sets is closed under division?
Given $4c + 5 = 0$ and C is a real number, what is the multiplicative inverse?
Given $4c + 5 = 0$ and C is a real number, what is the multiplicative inverse?
Which number is an irrational number?
Which number is an irrational number?
Which represents four times a number?
Which represents four times a number?
Which represents the solution set of $5(x + 5)$?
Which represents the solution set of $5(x + 5)$?
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."
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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!
