Question 1

Find the square root, rounded to hundredths if necessary.
-$\sqrt { 36 }$

Accepted Answer

A)  8 
B)  12 
C)  6 
D)  7 
A)  8 
B)  12 
C)  6 
D)  7

Question 2

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

Accepted Answer

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

Question 3

Find the square root, rounded to hundredths if necessary.
-$\sqrt { 92 }$

Accepted Answer

A)  $9.62$ 
B)  92 
C)  $9.57$ 
D)  $9.59$ 
A)  $9.62$ 
B)  92 
C)  $9.57$ 
D)  $9.59$

Question 4

Solve the problem.
-John is paid a weekly salary of $380 plus 4% of his sales. Draw a graph in which sales are measured on the horizontal axis and wages on the vertical axis. Then use the graph to estimate John's sales if his week's pay is $530.

Accepted Answer

A) About $3757 
B) About $3745 
C) About $3750 
D) About $3760 
A) About $3757 
B) About $3745 
C) About $3750 
D) About $3760

Question 5

Solve the problem.
-A baseball team played 165 complete games last season. They had 17 fewer wins than losses. How may games did the team win?

Accepted Answer

A) 17 games 
B) 165 games 
C) 91 games 
D) 74 games 
A) 17 games 
B) 165 games 
C) 91 games 
D) 74 games

Question 6

Solve for x, where x is a real number.
-$$\left( \frac { 25 } { 9 } \right) ^ { 5 x } = \frac { 125 } { 27 }$$

Accepted Answer

A)  $\frac { 3 } { 5 }$ 
B)  $\frac { 3 } { 2 }$ 
C)  $\frac { 3 } { 10 }$ 
D)  $\frac { 1 } { 10 }$ 
A)  $\frac { 3 } { 5 }$ 
B)  $\frac { 3 } { 2 }$ 
C)  $\frac { 3 } { 10 }$ 
D)  $\frac { 1 } { 10 }$

Question 7

The quotient of any two distinct irrational numbers is irrational.

Accepted Answer

A) True 
 B)False

Question 8

Write an equation relating the variables in the situation described.
-The distance D traveled in T hours at a constant speed of S mph.

Accepted Answer

A)  $S = D T$ 
B)  $\mathrm { D } = \mathrm { ST }$ 
C)  $D = \frac { S } { T }$ 
D)  $D = \frac { T } { S }$ 
A)  $S = D T$ 
B)  $\mathrm { D } = \mathrm { ST }$ 
C)  $D = \frac { S } { T }$ 
D)  $D = \frac { T } { S }$

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.
-$$0 . \overline { 7 } x = 8$$

Accepted Answer

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

Question 10

Solve the equation.
-7(3x - 12)= 6(3x - 12)

Accepted Answer

A) 5 
B) 4 
C) 6 
D) 3 
A) 5 
B) 4 
C) 6 
D) 3

Question 11

Write an expression in terms of the given variable(s)that represents the indicated quantity.
-The sum of three consecutive odd whole numbers if the least integer is x.

Accepted Answer

A) 3x + 6 
B) 3x - 3 
C) 3x + 3 
D) 3x - 6 
A) 3x + 6 
B) 3x - 3 
C) 3x + 3 
D) 3x - 6

Question 12

Write the statement in algebraic form.
-The difference between the cube of a number and four times the number

Accepted Answer

A)  $\sqrt [ 3 ] { n } - 4 n$ 
B)  $\sqrt [ 3 ] { n } + 4 n$ 
C)  $n ^ { 3 } - 4 n$ 
D)  $n ^ { 3 } + n$ 
A)  $\sqrt [ 3 ] { n } - 4 n$ 
B)  $\sqrt [ 3 ] { n } + 4 n$ 
C)  $n ^ { 3 } - 4 n$ 
D)  $n ^ { 3 } + n$

Question 13

Solve for x, where x is a real number.
-$$3 ^ {  {-x } } = 243$$

Accepted Answer

A)  -6 
B)  -5 
C)  5 
D)  $\frac { 1 } { 5 }$ 
A)  -6 
B)  -5 
C)  5 
D)  $\frac { 1 } { 5 }$

Question 14

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

Accepted Answer

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

Question 15

Find the square root, rounded to hundredths if necessary.
-$\sqrt { 211 }$

Accepted Answer

A)  $14.00$ 
B)  $14.53$ 
C)  $14.517$ 
D)  $14.55$ 
A)  $14.00$ 
B)  $14.53$ 
C)  $14.517$ 
D)  $14.55$

Question 16

Find the square root, rounded to hundredths if necessary.
-$\sqrt { 328 }$

Accepted Answer

A)  $18.14$ 
B)  $18.11$ 
C)  328 
D)  $18.09$ 
A)  $18.14$ 
B)  $18.11$ 
C)  328 
D)  $18.09$

Question 17

Write an equation relating the variables in the situation described.
-Your pay P for h hours if you are paid $9 for the first two hours and $32 for each additional hour and you work for more than two hours.

Accepted Answer

A)  $P = 9 + 32 ( h - 2 )$ 
B)  $P = 9 + 32 ( \mathrm {~h} - 1 )$ 
C)  $\mathrm { P } = 18 + 32 \mathrm {~h}$ 
D)  $P = 18 + 32 ( h - 2 )$ 
A)  $P = 9 + 32 ( h - 2 )$ 
B)  $P = 9 + 32 ( \mathrm {~h} - 1 )$ 
C)  $\mathrm { P } = 18 + 32 \mathrm {~h}$ 
D)  $P = 18 + 32 ( h - 2 )$

Question 18

Solve the problem.
-For its regular delivery service, a parcel service charges $22.50 for the first 5 pounds plus $1.50 for each additional pound. Draw a linear graph that can be used to estimate the cost of parcels Weighing 5 to 20 pounds. Use the horizontal axis for the weight and the vertical axis for the cost.Use the graph to estimate the weight of a parcel which costs $51.00.

Accepted Answer

A)  About $19 \mathrm { lb }$ 
B)  About $24 \mathrm { lb }$ 
C)  About $14 \mathrm { lb }$ 
D)  About $27 \mathrm { lb }$ 
A)  About $19 \mathrm { lb }$ 
B)  About $24 \mathrm { lb }$ 
C)  About $14 \mathrm { lb }$ 
D)  About $27 \mathrm { lb }$

Question 19

Decide if the number is rational or irrational.
-1.41421. . .

Accepted Answer

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

Question 20

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.
-$$x ^ { 3 } = 3$$

Accepted Answer

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

Find the square root, rounded to hundredths if necessary. - $\sqrt { 36 }$

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

Find the square root, rounded to hundredths if necessary. - $\sqrt { 92 }$

Solve the problem. -John is paid a weekly salary of $380 plus 4% of his sales. Draw a graph in which sales are measured on the horizontal axis and wages on the vertical axis. Then use the graph to estimate John's sales if his week's pay is $530.

Solve the problem. -A baseball team played 165 complete games last season. They had 17 fewer wins than losses. How may games did the team win?

Solve for x, where x is a real number. - $\left( \frac { 25 } { 9 } \right) ^ { 5 x } = \frac { 125 } { 27 }$

The quotient of any two distinct irrational numbers is irrational.

Write an equation relating the variables in the situation described. -The distance D traveled in T hours at a constant speed of S mph.

Solve the equation. -7(3x - 12)= 6(3x - 12)

Write an expression in terms of the given variable(s)that represents the indicated quantity. -The sum of three consecutive odd whole numbers if the least integer is x.

Write the statement in algebraic form. -The difference between the cube of a number and four times the number

Solve for x, where x is a real number. - $3 ^ { {-x } } = 243$

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

Find the square root, rounded to hundredths if necessary. - $\sqrt { 211 }$

Find the square root, rounded to hundredths if necessary. - $\sqrt { 328 }$

Write an equation relating the variables in the situation described. -Your pay P for h hours if you are paid $9 for the first two hours and $32 for each additional hour and you work for more than two hours.

Decide if the number is rational or irrational. -1.41421. . .

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

Find the square root, rounded to hundredths if necessary. - 36\sqrt { 36 }36​

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

Find the square root, rounded to hundredths if necessary. - 92\sqrt { 92 }92​

Solve the problem. -John is paid a weekly salary of $380 plus 4% of his sales. Draw a graph in which sales are measured on the horizontal axis and wages on the vertical axis. Then use the graph to estimate John's sales if his week's pay is $530.

Solve the problem. -A baseball team played 165 complete games last season. They had 17 fewer wins than losses. How may games did the team win?

Solve for x, where x is a real number. - (259)5x=12527\left( \frac { 25 } { 9 } \right) ^ { 5 x } = \frac { 125 } { 27 }(925​)5x=27125​

The quotient of any two distinct irrational numbers is irrational.

Write an equation relating the variables in the situation described. -The distance D traveled in T hours at a constant speed of S mph.

Solve the equation. -7(3x - 12)= 6(3x - 12)

Write an expression in terms of the given variable(s)that represents the indicated quantity. -The sum of three consecutive odd whole numbers if the least integer is x.

Write the statement in algebraic form. -The difference between the cube of a number and four times the number

Solve for x, where x is a real number. - 3−x=2433 ^ { {-x } } = 2433−x=243

Determine if the following is a function or not. - f(x)=5 for x∈Wx \in Wx∈W

Find the square root, rounded to hundredths if necessary. - 211\sqrt { 211 }211​

Find the square root, rounded to hundredths if necessary. - 328\sqrt { 328 }328​

Write an equation relating the variables in the situation described. -Your pay P for h hours if you are paid $9 for the first two hours and $32 for each additional hour and you work for more than two hours.

Decide if the number is rational or irrational. -1.41421. . .

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

Find the square root, rounded to hundredths if necessary. - $\sqrt { 36 }$

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

Find the square root, rounded to hundredths if necessary. - $\sqrt { 92 }$

Solve for x, where x is a real number. - $\left( \frac { 25 } { 9 } \right) ^ { 5 x } = \frac { 125 } { 27 }$

Solve for x, where x is a real number. - $3 ^ { {-x } } = 243$

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

Find the square root, rounded to hundredths if necessary. - $\sqrt { 211 }$

Find the square root, rounded to hundredths if necessary. - $\sqrt { 328 }$