Solve the problem. -Given the table below, find the rule for output given that n is the input. $\begin{array}{r|rrrr} \text { Input } & 4 & 2 & 0 & -3 \\ \hline \text { Output } & 17 & 5 & 1 & 10 \end{array}$

A) $f ( n ) = ( n + 1 ) ^ { 2 }$ B) $f ( n ) = 3 n + 2$ C) $f ( n ) = 2 n + 2$ D) $f ( n ) = n ^ { 2 } + 1$ A) $f ( n ) = ( n + 1 ) ^ { 2 }$ B) $f ( n ) = 3 n + 2$ C) $f ( n ) = 2 n + 2$ D) $f ( n ) = n ^ { 2 } + 1$

Exam 8: Real Numbers and Algebraic Thinking

Tell whether the relation is reflexive, symmetric, or transitive on the set of all people. Also tell whether the relation is an equivalence relation. -"Is thinner than"

Free

(Multiple Choice)

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Question 1

Correct Answer:

Verified

Tell whether the relation is reflexive, symmetric, or transitive on the set of all people. Also tell whether the relation is an equivalence relation. -"Is a son of"

Free

(Multiple Choice)

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Question 2

Correct Answer:

Verified

Classify the following number as rational or irrational. - $\frac { 1 } { 1 - \sqrt { 15 } }$

Free

(Multiple Choice)

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Question 3

Correct Answer:

Verified

The product of a non-zero rational number and an irrational number is irrational.

(True/False)

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Question 4

If R is the set of real numbers, Q is the set of rational numbers, I is the set of integers, N is the set of natural numbers, and S is the set of irrational numbers, list the set(s)to which the given number belongs. If the number does not belong to any, state none. - $3 \frac { 1 } { 4 }$

(Multiple Choice)

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Question 5

Solve the problem. -Given the table below, find the rule for output given that n is the input. Input 4 2 0 -3 Output 17 5 1 10

(Multiple Choice)

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Question 6

Write an expression in terms of the given variable(s)that represents the indicated quantity. -Joel's total earning after 3 years if the first year his salary was s dollars, the second year it was $7000 higher, and the third year it was twice as much as the first year.

(Multiple Choice)

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Question 7

Decide if the number is rational or irrational. - $\sqrt { 91 }$

(Multiple Choice)

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Question 8

Decide if the number is rational or irrational. - $- \sqrt { 196 }$

(Multiple Choice)

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Question 9

If R is the set of real numbers, Q is the set of rational numbers, I is the set of integers, N is the set of natural numbers, and S is the set of irrational numbers, list the set(s)for which a solution to the given equation exists. If a solution to the given equation does not belong to any set, state none. - $x ^ { 2 } + 1 = 26$

(Multiple Choice)

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Question 10

Write the statement in algebraic form. -19 times the square of a number

(Multiple Choice)

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Question 11

Determine if the following is a function or not. -f(x)=2 for $x \in \{ 2,4 \}$ and f(x)=4 for $x \in \{ 2,4,6,8 , \ldots \}$

(Multiple Choice)

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Question 12

Solve the equation. -2x + 8 = x + 36

(Multiple Choice)

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Question 13

Find or investigate the function as requested. -Find a function f(n)whose domain is the set of natural numbers and the output produces the terms of the sequence 4, 16, 64, 256, . . .

(Multiple Choice)

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Question 14

Find or investigate the function as requested. -The set of ordered pairs is a function. Find a rule that could describe the function. {(5, 15), (6, 18), (8, 24), (10, 30)}

(Multiple Choice)

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Question 15

Solve for x, where x is a real number. - $5 \sqrt { 7 } = \sqrt { x }$

(Multiple Choice)

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Question 16

Write an equation relating the variables in the situation described. -The sum S of three consecutive integers if the middle number is x.

(Multiple Choice)

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Question 17

Decide if the number is rational or irrational. - $\sqrt { 36 }$

(Multiple Choice)

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Question 18

Solve the problem. -Find the nth term of the following geometric sequence: $1 + \sqrt { 3 } , 3 + \sqrt { 3 } , 3 + 3 \sqrt { 3 } , \ldots$

(Multiple Choice)

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Question 19

Classify the following number as rational or irrational. - $\sqrt { 15 } - \frac { 15 } { \sqrt { 15 } }$

(Multiple Choice)

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Question 20

Showing 1 - 20 of 151

Tell whether the relation is reflexive, symmetric, or transitive on the set of all people. Also tell whether the relation is an equivalence relation. -"Is thinner than"

Tell whether the relation is reflexive, symmetric, or transitive on the set of all people. Also tell whether the relation is an equivalence relation. -"Is a son of"

Classify the following number as rational or irrational. - $\frac { 1 } { 1 - \sqrt { 15 } }$

The product of a non-zero rational number and an irrational number is irrational.

If R is the set of real numbers, Q is the set of rational numbers, I is the set of integers, N is the set of natural numbers, and S is the set of irrational numbers, list the set(s)to which the given number belongs. If the number does not belong to any, state none. - $3 \frac { 1 } { 4 }$

Solve the problem. -Given the table below, find the rule for output given that n is the input. Input 4 2 0 -3 Output 17 5 1 10

Write an expression in terms of the given variable(s)that represents the indicated quantity. -Joel's total earning after 3 years if the first year his salary was s dollars, the second year it was $7000 higher, and the third year it was twice as much as the first year.

Decide if the number is rational or irrational. - $\sqrt { 91 }$

Decide if the number is rational or irrational. - $- \sqrt { 196 }$

Write the statement in algebraic form. -19 times the square of a number

Determine if the following is a function or not. -f(x)=2 for $x \in \{ 2,4 \}$ and f(x)=4 for $x \in \{ 2,4,6,8 , \ldots \}$

Solve the equation. -2x + 8 = x + 36

Find or investigate the function as requested. -Find a function f(n)whose domain is the set of natural numbers and the output produces the terms of the sequence 4, 16, 64, 256, . . .

Find or investigate the function as requested. -The set of ordered pairs is a function. Find a rule that could describe the function. {(5, 15), (6, 18), (8, 24), (10, 30)}

Solve for x, where x is a real number. - $5 \sqrt { 7 } = \sqrt { x }$

Write an equation relating the variables in the situation described. -The sum S of three consecutive integers if the middle number is x.

Decide if the number is rational or irrational. - $\sqrt { 36 }$

Solve the problem. -Find the nth term of the following geometric sequence: $1 + \sqrt { 3 } , 3 + \sqrt { 3 } , 3 + 3 \sqrt { 3 } , \ldots$

Classify the following number as rational or irrational. - $\sqrt { 15 } - \frac { 15 } { \sqrt { 15 } }$

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Exam 8: Real Numbers and Algebraic Thinking

Tell whether the relation is reflexive, symmetric, or transitive on the set of all people. Also tell whether the relation is an equivalence relation. -"Is thinner than"

Tell whether the relation is reflexive, symmetric, or transitive on the set of all people. Also tell whether the relation is an equivalence relation. -"Is a son of"

Classify the following number as rational or irrational. - 11−15\frac { 1 } { 1 - \sqrt { 15 } }1−15​1​

The product of a non-zero rational number and an irrational number is irrational.

If R is the set of real numbers, Q is the set of rational numbers, I is the set of integers, N is the set of natural numbers, and S is the set of irrational numbers, list the set(s)to which the given number belongs. If the number does not belong to any, state none. - 3143 \frac { 1 } { 4 }341​

Solve the problem. -Given the table below, find the rule for output given that n is the input. Input 4 2 0 -3 Output 17 5 1 10

Write an expression in terms of the given variable(s)that represents the indicated quantity. -Joel's total earning after 3 years if the first year his salary was s dollars, the second year it was $7000 higher, and the third year it was twice as much as the first year.

Decide if the number is rational or irrational. - 91\sqrt { 91 }91​

Decide if the number is rational or irrational. - −196- \sqrt { 196 }−196​

Write the statement in algebraic form. -19 times the square of a number

Determine if the following is a function or not. -f(x)=2 for x∈{2,4}x \in \{ 2,4 \}x∈{2,4} and f(x)=4 for x∈{2,4,6,8,…}x \in \{ 2,4,6,8 , \ldots \}x∈{2,4,6,8,…}

Solve the equation. -2x + 8 = x + 36

Find or investigate the function as requested. -Find a function f(n)whose domain is the set of natural numbers and the output produces the terms of the sequence 4, 16, 64, 256, . . .

Find or investigate the function as requested. -The set of ordered pairs is a function. Find a rule that could describe the function. {(5, 15), (6, 18), (8, 24), (10, 30)}

Solve for x, where x is a real number. - 57=x5 \sqrt { 7 } = \sqrt { x }57​=x​

Write an equation relating the variables in the situation described. -The sum S of three consecutive integers if the middle number is x.

Decide if the number is rational or irrational. - 36\sqrt { 36 }36​

Solve the problem. -Find the nth term of the following geometric sequence: 1+3,3+3,3+33,…1 + \sqrt { 3 } , 3 + \sqrt { 3 } , 3 + 3 \sqrt { 3 } , \ldots1+3​,3+3​,3+33​,…

Classify the following number as rational or irrational. - 15−1515\sqrt { 15 } - \frac { 15 } { \sqrt { 15 } }15​−15​15​

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Classify the following number as rational or irrational. - $\frac { 1 } { 1 - \sqrt { 15 } }$

If R is the set of real numbers, Q is the set of rational numbers, I is the set of integers, N is the set of natural numbers, and S is the set of irrational numbers, list the set(s)to which the given number belongs. If the number does not belong to any, state none. - $3 \frac { 1 } { 4 }$

Decide if the number is rational or irrational. - $\sqrt { 91 }$

Decide if the number is rational or irrational. - $- \sqrt { 196 }$

Determine if the following is a function or not. -f(x)=2 for $x \in \{ 2,4 \}$ and f(x)=4 for $x \in \{ 2,4,6,8 , \ldots \}$

Solve for x, where x is a real number. - $5 \sqrt { 7 } = \sqrt { x }$

Decide if the number is rational or irrational. - $\sqrt { 36 }$

Solve the problem. -Find the nth term of the following geometric sequence: $1 + \sqrt { 3 } , 3 + \sqrt { 3 } , 3 + 3 \sqrt { 3 } , \ldots$

Classify the following number as rational or irrational. - $\sqrt { 15 } - \frac { 15 } { \sqrt { 15 } }$