Question 1

Solve the problem.
-Find the 11 th term of the following geometric sequence: $6,6 \sqrt { 2 } , 12,12 \sqrt { 2 } , \ldots$

Accepted Answer

A)  192 
B)  384 
C)  $96 \sqrt { 2 }$ 
D)  $192 \sqrt { 2 }$ 
A)  192 
B)  384 
C)  $96 \sqrt { 2 }$ 
D)  $192 \sqrt { 2 }$

Question 2

Solve the problem.
-The speed $\mathrm { V } ( \mathrm { t } )$ of a particle is given by $14 \mathrm { t } - 3 \mathrm { t } ^ { 2 }$. Calculate $\mathrm { V } ( 0 ) , \mathrm { V } ( 1 ) , \mathrm { V } ( 2 ) , \mathrm { V } ( 3 )$, and $\mathrm { V } ( 4 )$. Graph the function using these points.

Accepted Answer

A)  $0,11,16,15,8$;
  
B)  $0,1,2,3,4$;
  
C)  $0,11,16,15,8$;
  
D)  $1,12,17,16,9$;
  
A)  $0,11,16,15,8$;
  
B)  $0,1,2,3,4$;
  
C)  $0,11,16,15,8$;
  
D)  $1,12,17,16,9$;

Question 3

Write an equation relating the variables in the situation described.
-The cost C in dollars of having an electrician come to your house to do a repair job in h hours if he charges $22 for coming to the house and $30 for each hour.

Accepted Answer

A) C = 30 + 22h 
B) C = 52h 
C) C = 22 + 30h 
D) C = 22 - 30h 
A) C = 30 + 22h 
B) C = 52h 
C) C = 22 + 30h 
D) C = 22 - 30h

Question 4

Classify the following number as rational or irrational.
-$\frac { 7 } { \sqrt { 6 } } - \sqrt { 6 }$

Accepted Answer

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

Question 5

Simplify the radical.
-$\sqrt [ 4 ] { 64 }$

Accepted Answer

A)  2 
B)  $2 \sqrt [ 4 ] { 4 }$ 
C)  $4 \sqrt [ 4 ] { 2 }$ 
D)  8 
A)  2 
B)  $2 \sqrt [ 4 ] { 4 }$ 
C)  $4 \sqrt [ 4 ] { 2 }$ 
D)  8

Question 6

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 8, 11, 14, 17, . . .

Accepted Answer

A) n - 5 
B) 3n 
C) 3n - 5 
D) 3n + 5 
A) n - 5 
B) 3n 
C) 3n - 5 
D) 3n + 5

Question 7

Determine if the following is a function or not.
-f(x)=1  for  x $\in \{ 0,2,4,6 , \ldots \}$  and f(x)=0  for $x \in \{ 1,3,5,7 , \ldots \}$

Accepted Answer

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

Question 8

The sum of a rational number and an irrational number could be rational.

Accepted Answer

A) True 
 B)False

Question 9

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 sibling of"

Accepted Answer

A) Reflexive and symmetric; not an equivalence relation 
B) Reflexive and transitive; not an equivalence relation 
C) Symmetric and transitive; not an equivalence relation 
D) Reflexive, symmetric and transitive; equivalence relation 
A) Reflexive and symmetric; not an equivalence relation 
B) Reflexive and transitive; not an equivalence relation 
C) Symmetric and transitive; not an equivalence relation 
D) Reflexive, symmetric and transitive; equivalence relation

Question 10

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.
-$$3 - 2 x = 16$$

Accepted Answer

A)  S, R 
B)  $Q , R$ 
C)  I, Q, R 
D)  $Q$ 
A)  S, R 
B)  $Q , R$ 
C)  I, Q, R 
D)  $Q$

Question 11

Solve the problem.
-In a geometric sequence, find the first term if the 13th term is 512 and the ratio is $\sqrt { 2 }$.

Accepted Answer

A)  $4 \sqrt { 2 }$ 
B)  $8 \sqrt { 2 }$ 
C)  8 
D)  4 
A)  $4 \sqrt { 2 }$ 
B)  $8 \sqrt { 2 }$ 
C)  8 
D)  4

Question 12

Solve the problem.
-The level of water in a tank after elapsed time t in minutes is given by R(t)= 6t + 1 inches. Draw a graph for this function. At what time will the water start overflowing from the tank if the depth of
The tank is 79 inches?

Accepted Answer

A)  15 minutes;
  
B)  23 minutes;
  
C)  23 minutes;
  
D)  13 minutes;
  
A)  15 minutes;
  
B)  23 minutes;
  
C)  23 minutes;
  
D)  13 minutes;

Question 13

Solve the problem.
-A plane starts its descent from a cruising altitude of 32,000 feet. It descends at a rate of 2500 feet per minute. Draw a graph in which the plane's altitude is measured on the vertical axis and use the Graph to estimate how long it will take for the plane to reach an altitude of 4000 feet.

Accepted Answer

A)  About 11 minutes 
B)  About 18 minutes 
C)  About 7 minutes 
A)  About 11 minutes 
B)  About 18 minutes 
C)  About 7 minutes

Question 14

Solve the problem.
-Consider the following $1 \times 1,2 \times 2$, and $3 \times 3$ matchstick designs.

How many matchsticks are needed for a $12 \times 12$ design?

Accepted Answer

A)  288 
B)  148 
C)  156 
D)  312 
A)  288 
B)  148 
C)  156 
D)  312

Question 15

Write the statement in algebraic form.
-38 less than twice a number

Accepted Answer

A)  $38 - 2 n$ 
B)  $2 n - 38$ 
C)  $38 - n$ 
D)  $n - 38$ 
A)  $38 - 2 n$ 
B)  $2 n - 38$ 
C)  $38 - n$ 
D)  $n - 38$

Question 16

Solve the problem.
-Crafty Bill's Cool Car Sales opened as a used car sales lot in 2006. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 2010?

Accepted Answer

A) 900 
B) 950 
C) 600 
D) 150 
A) 900 
B) 950 
C) 600 
D) 150

Question 17

Solve the problem. Leave the answer in exponential notation.
-The expression $2 ^ { 7 } \cdot 64 ^ { t }$ approximates the number of bacteria after t hours. After $\frac { 1 } { 6 }$ hr, how many bacteria are there?

Accepted Answer

A)  $2^{13}$ 
B)  $2 ^ { - 13 }$ 
C)  $2 ^ { 7 }$ 
D)  $2 ^ { 8 }$ 
A)  $2^{13}$ 
B)  $2 ^ { - 13 }$ 
C)  $2 ^ { 7 }$ 
D)  $2 ^ { 8 }$

Question 18

Write the statement in algebraic form.
-15 times a number

Accepted Answer

A)  $15 n$ 
B)  $\frac { \mathrm { n } } { 15 }$ 
C)  $\frac { 15 } { \mathrm { n } }$ 
D)  $\mathrm { n } + 15$ 
A)  $15 n$ 
B)  $\frac { \mathrm { n } } { 15 }$ 
C)  $\frac { 15 } { \mathrm { n } }$ 
D)  $\mathrm { n } + 15$

Question 19

Determine if the following is a function or not.
-The set of ordered pairs {(animal, zebra), (bird, sparrow), (flower, tulip), (tree, maple)} from the set {animal, bird, tree, flower} to the set {zebra, sparrow, tulip, maple}

Accepted Answer

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

Question 20

Simplify the radical.
-$\sqrt [ 3 ] { 108 }$

Accepted Answer

A)  $4 \sqrt [ 3 ] { 3 }$ 
B)  10 
C)  $3 \sqrt [ 3 ] { 4 }$ 
D)  4 
A)  $4 \sqrt [ 3 ] { 3 }$ 
B)  10 
C)  $3 \sqrt [ 3 ] { 4 }$ 
D)  4

Solve the problem. -Find the 11 th term of the following geometric sequence: $6,6 \sqrt { 2 } , 12,12 \sqrt { 2 } , \ldots$

Write an equation relating the variables in the situation described. -The cost C in dollars of having an electrician come to your house to do a repair job in h hours if he charges $22 for coming to the house and $30 for each hour.

Classify the following number as rational or irrational. - $\frac { 7 } { \sqrt { 6 } } - \sqrt { 6 }$

Simplify the radical. - $\sqrt [ 4 ] { 64 }$

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 8, 11, 14, 17, . . .

Determine if the following is a function or not. -f(x)=1 for x $\in \{ 0,2,4,6 , \ldots \}$ and f(x)=0 for $x \in \{ 1,3,5,7 , \ldots \}$

The sum of a rational number and an irrational number could be rational.

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 sibling of"

Solve the problem. -In a geometric sequence, find the first term if the 13th term is 512 and the ratio is $\sqrt { 2 }$ .

Solve the problem. -The level of water in a tank after elapsed time t in minutes is given by R(t)= 6t + 1 inches. Draw a graph for this function. At what time will the water start overflowing from the tank if the depth of The tank is 79 inches?

Write the statement in algebraic form. -38 less than twice a number

Solve the problem. -Crafty Bill's Cool Car Sales opened as a used car sales lot in 2006. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 2010?

Solve the problem. Leave the answer in exponential notation. -The expression $2 ^ { 7 } \cdot 64 ^ { t }$ approximates the number of bacteria after t hours. After $\frac { 1 } { 6 }$ hr, how many bacteria are there?

Write the statement in algebraic form. -15 times a number

Determine if the following is a function or not. -The set of ordered pairs {(animal, zebra), (bird, sparrow), (flower, tulip), (tree, maple)} from the set {animal, bird, tree, flower} to the set {zebra, sparrow, tulip, maple}

Simplify the radical. - $\sqrt [ 3 ] { 108 }$

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

Solve the problem. -Find the 11 th term of the following geometric sequence: 6,62,12,122,…6,6 \sqrt { 2 } , 12,12 \sqrt { 2 } , \ldots6,62​,12,122​,…

Write an equation relating the variables in the situation described. -The cost C in dollars of having an electrician come to your house to do a repair job in h hours if he charges $22 for coming to the house and $30 for each hour.

Classify the following number as rational or irrational. - 76−6\frac { 7 } { \sqrt { 6 } } - \sqrt { 6 }6​7​−6​

Simplify the radical. - 644\sqrt [ 4 ] { 64 }464​

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 8, 11, 14, 17, . . .

Determine if the following is a function or not. -f(x)=1 for x ∈{0,2,4,6,…}\in \{ 0,2,4,6 , \ldots \}∈{0,2,4,6,…} and f(x)=0 for x∈{1,3,5,7,…}x \in \{ 1,3,5,7 , \ldots \}x∈{1,3,5,7,…}

The sum of a rational number and an irrational number could be rational.

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 sibling of"

Solve the problem. -In a geometric sequence, find the first term if the 13th term is 512 and the ratio is 2\sqrt { 2 }2​ .

Solve the problem. -The level of water in a tank after elapsed time t in minutes is given by R(t)= 6t + 1 inches. Draw a graph for this function. At what time will the water start overflowing from the tank if the depth of The tank is 79 inches?

Solve the problem. -Consider the following 1×1,2×21 \times 1,2 \times 21×1,2×2 , and 3×33 \times 33×3 matchstick designs. How many matchsticks are needed for a 12×1212 \times 1212×12 design?

Write the statement in algebraic form. -38 less than twice a number

Solve the problem. -Crafty Bill's Cool Car Sales opened as a used car sales lot in 2006. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 2010?

Solve the problem. Leave the answer in exponential notation. -The expression 27⋅64t2 ^ { 7 } \cdot 64 ^ { t }27⋅64t approximates the number of bacteria after t hours. After 16\frac { 1 } { 6 }61​ hr, how many bacteria are there?

Write the statement in algebraic form. -15 times a number

Determine if the following is a function or not. -The set of ordered pairs {(animal, zebra), (bird, sparrow), (flower, tulip), (tree, maple)} from the set {animal, bird, tree, flower} to the set {zebra, sparrow, tulip, maple}

Simplify the radical. - 1083\sqrt [ 3 ] { 108 }3108​

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

Solve the problem. -Find the 11 th term of the following geometric sequence: $6,6 \sqrt { 2 } , 12,12 \sqrt { 2 } , \ldots$

Classify the following number as rational or irrational. - $\frac { 7 } { \sqrt { 6 } } - \sqrt { 6 }$

Simplify the radical. - $\sqrt [ 4 ] { 64 }$

Determine if the following is a function or not. -f(x)=1 for x $\in \{ 0,2,4,6 , \ldots \}$ and f(x)=0 for $x \in \{ 1,3,5,7 , \ldots \}$

Solve the problem. -In a geometric sequence, find the first term if the 13th term is 512 and the ratio is $\sqrt { 2 }$ .

Solve the problem. Leave the answer in exponential notation. -The expression $2 ^ { 7 } \cdot 64 ^ { t }$ approximates the number of bacteria after t hours. After $\frac { 1 } { 6 }$ hr, how many bacteria are there?

Simplify the radical. - $\sqrt [ 3 ] { 108 }$