Question 1

Decide if the number is rational or irrational.
-$\sqrt { 146 }$

Accepted Answer

A)  Irrational 
B)  Rational 
A)  Irrational 
B)  Rational

Question 2

Solve the problem.
-The number of marbles y that Jack has is a function of the number of marbles x that Kevin has. This is shown in the following graph. Write an equation for y(x).

Accepted Answer

A)  $y = 5 x$ 
B)  $y = x$ 
C)  $y = \frac { x } { 2 }$ 
D)  $y = 2 x$ 
A)  $y = 5 x$ 
B)  $y = x$ 
C)  $y = \frac { x } { 2 }$ 
D)  $y = 2 x$

Question 3

Write the statement in algebraic form.
-33 less than a number

Accepted Answer

A) 33 - n 
B) n + 33 
C) n - 33 
D) 33n 
A) 33 - n 
B) n + 33 
C) n - 33 
D) 33n

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)for which a solution to the given equation exists. If a solution to the given equation does not belong to any set, state none.
-$\sqrt { x } = - 25$

Accepted Answer

A)  $R$ 
B)  none 
C)  $Q , R$ 
D)  $S , R$ 
A)  $R$ 
B)  none 
C)  $Q , R$ 
D)  $S , R$

Question 5

Solve the problem.
-Find the 100th term of the following arithmetic sequence: 2, -2, -6, . . .

Accepted Answer

A) -394 
B) -390 
C) -398 
D) -402 
A) -394 
B) -390 
C) -398 
D) -402

Question 6

Decide if the number is rational or irrational.
-0.22582259. . .

Accepted Answer

A) Rational 
B) Irrational 
A) Rational 
B) Irrational

Question 7

Arrange the following real numbers in order from greatest to least.
-$0.5,0 . \overline { 5 } , 0 . \overline { 56 } , 0.5 \overline { 56 } , 0.5 \overline { 6 } , \sqrt { 0.3025 }$

Accepted Answer

A)  $0.5 \overline { 6 } , 0.5 \overline { 56 } , 0 . \overline { 56 } , 0 . \overline { 5 } , \sqrt { 0.3025 } , 0.5$ 
B)  $0.5 \overline { 6 } , 0 . \overline { 56 } , 0 . \overline { 5 } , 0.5 \overline { 56 } , 0.5 , \sqrt { 0.3025 }$ 
C)  $0 . \overline { 56 } , 0.5 \overline { 6 } , 0.5 \overline { 56 } , \sqrt { 0.3025 } , 0 . \overline { 5 } , 0.5$ 
D)  $0.5 \overline { 6 } , 0 . \overline { 56 } , 0.5 \overline { 56 } , 0 . \overline { 5 } , \sqrt { 0.3025 } , 0.5$ 
A)  $0.5 \overline { 6 } , 0.5 \overline { 56 } , 0 . \overline { 56 } , 0 . \overline { 5 } , \sqrt { 0.3025 } , 0.5$ 
B)  $0.5 \overline { 6 } , 0 . \overline { 56 } , 0 . \overline { 5 } , 0.5 \overline { 56 } , 0.5 , \sqrt { 0.3025 }$ 
C)  $0 . \overline { 56 } , 0.5 \overline { 6 } , 0.5 \overline { 56 } , \sqrt { 0.3025 } , 0 . \overline { 5 } , 0.5$ 
D)  $0.5 \overline { 6 } , 0 . \overline { 56 } , 0.5 \overline { 56 } , 0 . \overline { 5 } , \sqrt { 0.3025 } , 0.5$

Question 8

The quotient of an irrational number and a nonzero rational number could be rational.

Accepted Answer

A) True 
 B)False

Question 9

Solve the problem.
-A fruit salad is made up of cantaloupe, strawberries, and bananas. If a salad weighing 65 ounces contains three ounces of bananas for every ounce of strawberries and has the same number of Ounces of cantaloupe as strawberries, how many ounces of bananas are in the salad?

Accepted Answer

A) 34 ounces 
B) 26 ounces 
C) 39 ounces 
D) 13 ounces 
A) 34 ounces 
B) 26 ounces 
C) 39 ounces 
D) 13 ounces

Question 10

Decide if the number is rational or irrational.
-$\sqrt { 324 }$

Accepted Answer

A)  Irrational 
B)  Rational 
A)  Irrational 
B)  Rational

Question 11

Find or investigate the function as requested.
-The set of ordered pairs is a function. Find a rule that could describe the function. {(2, 8), (3, 27), (5, 125), (7, 343)}

Accepted Answer

A) Multiply the input number by 3. 
B) Square the input number. 
C) Cube the input number. 
D) Double the input number. 
A) Multiply the input number by 3. 
B) Square the input number. 
C) Cube the input number. 
D) Double the input number.

Question 12

Solve the problem.
-In an arithmetic sequence, find the first term if the 11 th term is 18 and the difference is $\sqrt { 2 }$.

Accepted Answer

A)  $18 + 10 \sqrt { 2 }$ 
B)  $18 - 10 \sqrt { 2 }$ 
C)  $18 - 11 \sqrt { 2 }$ 
D)  $18 + 11 \sqrt { 2 }$ 
A)  $18 + 10 \sqrt { 2 }$ 
B)  $18 - 10 \sqrt { 2 }$ 
C)  $18 - 11 \sqrt { 2 }$ 
D)  $18 + 11 \sqrt { 2 }$

Question 13

Solve the problem.
-A long distance phone call costs $2.40 for the first minute plus $1.20 each additional minute. What is the cost of a 17 minute call?

Accepted Answer

A) $21.60 
B) $22.80 
C) $48.96 
D) $57.60 
A) $21.60 
B) $22.80 
C) $48.96 
D) $57.60

Question 14

Solve the problem.
-Find the 100th term of the following arithmetic sequence: $0.8 + \pi , 0.8 + 2 \pi , 0.8 + 3 \pi , \ldots$

Accepted Answer

A)  $0.8 + 100 \pi$ 
B)  $80 + 100 \pi$ 
C)  $0.8 + 99 \pi$ 
D)  $80 + 99 \pi$ 
A)  $0.8 + 100 \pi$ 
B)  $80 + 100 \pi$ 
C)  $0.8 + 99 \pi$ 
D)  $80 + 99 \pi$

Question 15

Decide if the number is rational or irrational.
-1.28252626. . .

Accepted Answer

A) Irrational 
B) Rational 
A) Irrational 
B) Rational

Question 16

Solve the problem.
-Find the nth term of the following geometric sequence: $9,9 \sqrt { 2 } , 18,18 \sqrt { 2 } , \ldots$

Accepted Answer

A)  $9 ( 2 ) ^ { n - 1 }$ 
B)  $9 \cdot 2 ^ { n }$ 
C)  $9 ( \sqrt { 2 } ) ^ { n - 1 }$ 
D)  $9 ( \sqrt { 2 } ) ^ { n }$ 
A)  $9 ( 2 ) ^ { n - 1 }$ 
B)  $9 \cdot 2 ^ { n }$ 
C)  $9 ( \sqrt { 2 } ) ^ { n - 1 }$ 
D)  $9 ( \sqrt { 2 } ) ^ { n }$

Question 17

Decide if the number is rational or irrational.
-$0 . \overline { 12 }$

Accepted Answer

A)  Irrational 
B)  Rational 
A)  Irrational 
B)  Rational

Question 18

Simplify the radical.
-$$\sqrt [ 3 ] { - 64 }$$

Accepted Answer

A)  -16 
B)  16 
C)  4 
D)  $- 4$ 
A)  -16 
B)  16 
C)  4 
D)  $- 4$

Question 19

Determine if the following is a function or not.
-$f ( x ) = x + 5 \text { for } x \in W$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 20

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

Accepted Answer

A)  49 
B)  $\frac { 1 } { \sqrt { 7 } }$ 
C)  7 
D)  $\sqrt { 7 }$ 
A)  49 
B)  $\frac { 1 } { \sqrt { 7 } }$ 
C)  7 
D)  $\sqrt { 7 }$

Decide if the number is rational or irrational. - $\sqrt { 146 }$

Solve the problem. -The number of marbles y that Jack has is a function of the number of marbles x that Kevin has. This is shown in the following graph. Write an equation for y(x).

Write the statement in algebraic form. -33 less than a number

Solve the problem. -Find the 100th term of the following arithmetic sequence: 2, -2, -6, . . .

Decide if the number is rational or irrational. -0.22582259. . .

Arrange the following real numbers in order from greatest to least. - $0.5,0 . \overline { 5 } , 0 . \overline { 56 } , 0.5 \overline { 56 } , 0.5 \overline { 6 } , \sqrt { 0.3025 }$

The quotient of an irrational number and a nonzero rational number could be rational.

Solve the problem. -A fruit salad is made up of cantaloupe, strawberries, and bananas. If a salad weighing 65 ounces contains three ounces of bananas for every ounce of strawberries and has the same number of Ounces of cantaloupe as strawberries, how many ounces of bananas are in the salad?

Decide if the number is rational or irrational. - $\sqrt { 324 }$

Find or investigate the function as requested. -The set of ordered pairs is a function. Find a rule that could describe the function. {(2, 8), (3, 27), (5, 125), (7, 343)}

Solve the problem. -In an arithmetic sequence, find the first term if the 11 th term is 18 and the difference is $\sqrt { 2 }$ .

Solve the problem. -A long distance phone call costs $2.40 for the first minute plus $1.20 each additional minute. What is the cost of a 17 minute call?

Solve the problem. -Find the 100th term of the following arithmetic sequence: $0.8 + \pi , 0.8 + 2 \pi , 0.8 + 3 \pi , \ldots$

Decide if the number is rational or irrational. -1.28252626. . .

Solve the problem. -Find the nth term of the following geometric sequence: $9,9 \sqrt { 2 } , 18,18 \sqrt { 2 } , \ldots$

Decide if the number is rational or irrational. - $0 . \overline { 12 }$

Simplify the radical. - $\sqrt [ 3 ] { - 64 }$

Determine if the following is a function or not. - $f ( x ) = x + 5 \text { for } x \in W$

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

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

Decide if the number is rational or irrational. - 146\sqrt { 146 }146​

Solve the problem. -The number of marbles y that Jack has is a function of the number of marbles x that Kevin has. This is shown in the following graph. Write an equation for y(x).

Write the statement in algebraic form. -33 less than a number

Solve the problem. -Find the 100th term of the following arithmetic sequence: 2, -2, -6, . . .

Decide if the number is rational or irrational. -0.22582259. . .

Arrange the following real numbers in order from greatest to least. - 0.5,0.5‾,0.56‾,0.556‾,0.56‾,0.30250.5,0 . \overline { 5 } , 0 . \overline { 56 } , 0.5 \overline { 56 } , 0.5 \overline { 6 } , \sqrt { 0.3025 }0.5,0.5,0.56,0.556,0.56,0.3025​

The quotient of an irrational number and a nonzero rational number could be rational.

Solve the problem. -A fruit salad is made up of cantaloupe, strawberries, and bananas. If a salad weighing 65 ounces contains three ounces of bananas for every ounce of strawberries and has the same number of Ounces of cantaloupe as strawberries, how many ounces of bananas are in the salad?

Decide if the number is rational or irrational. - 324\sqrt { 324 }324​

Find or investigate the function as requested. -The set of ordered pairs is a function. Find a rule that could describe the function. {(2, 8), (3, 27), (5, 125), (7, 343)}

Solve the problem. -In an arithmetic sequence, find the first term if the 11 th term is 18 and the difference is 2\sqrt { 2 }2​ .

Solve the problem. -A long distance phone call costs $2.40 for the first minute plus $1.20 each additional minute. What is the cost of a 17 minute call?

Solve the problem. -Find the 100th term of the following arithmetic sequence: 0.8+π,0.8+2π,0.8+3π,…0.8 + \pi , 0.8 + 2 \pi , 0.8 + 3 \pi , \ldots0.8+π,0.8+2π,0.8+3π,…

Decide if the number is rational or irrational. -1.28252626. . .

Solve the problem. -Find the nth term of the following geometric sequence: 9,92,18,182,…9,9 \sqrt { 2 } , 18,18 \sqrt { 2 } , \ldots9,92​,18,182​,…

Decide if the number is rational or irrational. - 0.12‾0 . \overline { 12 }0.12

Simplify the radical. - −643\sqrt [ 3 ] { - 64 }3−64​

Determine if the following is a function or not. - f(x)=x+5 for x∈Wf ( x ) = x + 5 \text { for } x \in Wf(x)=x+5 for x∈W

Solve for x, where x is a real number. - 77=x\frac { 7 } { \sqrt { 7 } } = \sqrt { x }7​7​=x​

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

Decide if the number is rational or irrational. - $\sqrt { 146 }$

Arrange the following real numbers in order from greatest to least. - $0.5,0 . \overline { 5 } , 0 . \overline { 56 } , 0.5 \overline { 56 } , 0.5 \overline { 6 } , \sqrt { 0.3025 }$

Decide if the number is rational or irrational. - $\sqrt { 324 }$

Solve the problem. -In an arithmetic sequence, find the first term if the 11 th term is 18 and the difference is $\sqrt { 2 }$ .

Solve the problem. -Find the 100th term of the following arithmetic sequence: $0.8 + \pi , 0.8 + 2 \pi , 0.8 + 3 \pi , \ldots$

Solve the problem. -Find the nth term of the following geometric sequence: $9,9 \sqrt { 2 } , 18,18 \sqrt { 2 } , \ldots$

Decide if the number is rational or irrational. - $0 . \overline { 12 }$

Simplify the radical. - $\sqrt [ 3 ] { - 64 }$

Determine if the following is a function or not. - $f ( x ) = x + 5 \text { for } x \in W$

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