Question 1

Determine if the following is a function or not.
-The set of whole numbers $f ( x ) = \sqrt { x }$ where $x \in \{ 1,4,9,25,36 \}$

Accepted Answer

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

Question 2

Write the statement in algebraic form.
-The sum of 19 and a number

Accepted Answer

A) 19 - n 
B) n + 19 
C) 19n 
D) n - 19 
A) 19 - n 
B) n + 19 
C) 19n 
D) n - 19

Question 3

Solve the problem.
-A private message agency charges 65 cents for the first ounce and 30 cents for each additional ounce or fraction of an ounce to send a message across town. How much does it cost to send a
Message weighing 1.5 ounces?

Accepted Answer

A) 60 cents 
B) $1.30 
C) 90 cents 
D) 95 cents 
A) 60 cents 
B) $1.30 
C) 90 cents 
D) 95 cents

Question 4

Solve the problem.
-A reservation clerk worked 8.55 hours one day. She spent twice as much time entering new reservations as she did verifying old ones and one and a half as much time calling to confirm Reservations as verifying old ones. How much time did she spend entering new reservations?

Accepted Answer

A) 1.9 hours 
B) 3.8 hours 
C) 7.6 hours 
D) 2.85 hours 
A) 1.9 hours 
B) 3.8 hours 
C) 7.6 hours 
D) 2.85 hours

Question 5

Write an equation relating the variables in the situation described.
-The sum S of three integers when the largest number is five times the smallest m and two more than the middle one.

Accepted Answer

A)  $S = 10 m - 2$ 
B)  $S = 11 m - 2$ 
C)  $S = 11 \mathrm {~m}$ 
D)  $S = 11 \mathrm {~m} + 2$ 
A)  $S = 10 m - 2$ 
B)  $S = 11 m - 2$ 
C)  $S = 11 \mathrm {~m}$ 
D)  $S = 11 \mathrm {~m} + 2$

Question 6

If the following is part of a geometric sequence, find the missing terms.
-8,____,_____, 40

Accepted Answer

A)  $8 \sqrt { 5 } , 8 \sqrt { 25 }$ 
B)  $8 \sqrt [ 4 ] { 5 } , 8 \sqrt [ 4 ] { 125 }$ 
C)  $\frac { 56 } { 3 } , \frac { 88 } { 3 }$ 
D)  $8 \sqrt [ 3 ] { 5 } , 8 \sqrt [ 3 ] { 25 }$ 
A)  $8 \sqrt { 5 } , 8 \sqrt { 25 }$ 
B)  $8 \sqrt [ 4 ] { 5 } , 8 \sqrt [ 4 ] { 125 }$ 
C)  $\frac { 56 } { 3 } , \frac { 88 } { 3 }$ 
D)  $8 \sqrt [ 3 ] { 5 } , 8 \sqrt [ 3 ] { 25 }$

Question 7

Simplify the radical.
-$\sqrt { 20 }$

Accepted Answer

A)  $4 \sqrt { 5 }$ 
B)  4 
C)  $2 \sqrt { 5 }$ 
D)  2 
A)  $4 \sqrt { 5 }$ 
B)  4 
C)  $2 \sqrt { 5 }$ 
D)  2

Question 8

Find the square root, rounded to hundredths if necessary.
-$\sqrt { 6.39 }$

Accepted Answer

A)  $2.56$ 
B)  $2.54$ 
C)  $6.39$ 
D)  $2.53$ 
A)  $2.56$ 
B)  $2.54$ 
C)  $6.39$ 
D)  $2.53$

Question 9

Solve the equation.
-21 - x = 3x + 5

Accepted Answer

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

Question 10

Write an expression in terms of the given variable(s)that represents the indicated quantity.
-The amount of money in cents in a jar containing n nickels and some dimes and some quarters if there are 3 times as many dimes as nickels and twice as many quarters as dimes.

Accepted Answer

A) 185x cents 
B) 85x cents 
C) 175x cents 
D) 110x cents 
A) 185x cents 
B) 85x cents 
C) 175x cents 
D) 110x cents

Question 11

Solve the problem.
-A company can make 12 airplane engines for $57,600, while 30 airplane engines cost $68,580. What is the cost y(x)of producing x airplane engines.

Accepted Answer

A) y(x)= 610x + 50,280 
B) y(x)= 18x + 10,980 
C) y(x)= 610x - 50,280 
D) y(x)= x + 10,980 
A) y(x)= 610x + 50,280 
B) y(x)= 18x + 10,980 
C) y(x)= 610x - 50,280 
D) y(x)= x + 10,980

Question 12

Solve the problem.
-Find the nth term of the following geometric sequence: $1 , - \frac { 1 } { \pi } , \frac { 1 } { \pi ^ { 2 } } , \ldots$

Accepted Answer

A)  $\frac { ( 7 ) ^ { n - 1 } } { \pi ^ { n } }$ 
B)  $\frac { ( 1 ) ^ { n } } { \pi ^ { n } }$ 
C)  $\frac { ( 1 ) ^ { n } } { \pi ^ { n - 1 } }$ 
D)  $\frac { ( 1 ) ^ { n - 1 } } { \pi ^ { n - 1 } }$ 
A)  $\frac { ( 7 ) ^ { n - 1 } } { \pi ^ { n } }$ 
B)  $\frac { ( 1 ) ^ { n } } { \pi ^ { n } }$ 
C)  $\frac { ( 1 ) ^ { n } } { \pi ^ { n - 1 } }$ 
D)  $\frac { ( 1 ) ^ { n - 1 } } { \pi ^ { n - 1 } }$

Question 13

Solve for x, where x is a real number.
-$$125 ^ { x } = 25$$

Accepted Answer

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

Question 14

Write an equation relating the variables in the situation described.
-The cost C of renting a video movie for n days if the charge is $2 plus $3 per day of renting.

Accepted Answer

A)  $C = 2 n$ 
B)  $C = 2 n + 3 n$ 
C)  $C = 3 n$ 
D)  $C = 2 + 3 n$ 
A)  $C = 2 n$ 
B)  $C = 2 n + 3 n$ 
C)  $C = 3 n$ 
D)  $C = 2 + 3 n$

Question 15

Solve the problem.
-The fixed cost for producing an item is $430. 10 items cost $1610 to produce. Express the total cost C(x)in terms of x, the number of items produced.

Accepted Answer

A) C(x)= 236x + 430 
B) C(x)= 118x + 430 
C) C(x)= 118x + 1610 
D) C(x)= 236x + 1610 
A) C(x)= 236x + 430 
B) C(x)= 118x + 430 
C) C(x)= 118x + 1610 
D) C(x)= 236x + 1610

Question 16

Write an equation relating the variables in the situation described.
-The amount of money M in a piggy bank containing only nickels and dimes d, when there are five more nickels than dimes.

Accepted Answer

A) M = 0.1d + 0.20 
B) M = 0.15d + 0.25 
C) M = 0.05 + 0.1d 
D) M = 0.15d 
A) M = 0.1d + 0.20 
B) M = 0.15d + 0.25 
C) M = 0.05 + 0.1d 
D) M = 0.15d

Question 17

Solve the problem.
-A moving firm charges a flat fee of $30 plus $25 per hour. Find the cost C(x)of using the moving firm for x hours.

Accepted Answer

A)  $C ( x ) = 25 x + 30$ 
B)  $C ( x ) = 25 x - 30$ 
C)  $C ( x ) = 30 x - 25$ 
D)  $C ( x ) = 30 x + 25$ 
A)  $C ( x ) = 25 x + 30$ 
B)  $C ( x ) = 25 x - 30$ 
C)  $C ( x ) = 30 x - 25$ 
D)  $C ( x ) = 30 x + 25$

Question 18

Write the statement in algebraic form.
-13 more than a number

Accepted Answer

A) 13n 
B) 13 - n 
C) n - 13 
D) n + 13 
A) 13n 
B) 13 - n 
C) n - 13 
D) n + 13

Question 19

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 1, 6, 11, 16, . . .

Accepted Answer

A) 5n - 4 
B) 4n 
C) 5n 
D) 5n + 4 
A) 5n - 4 
B) 4n 
C) 5n 
D) 5n + 4

Question 20

Determine if the following is a function or not.
-f(x) is the product of x and (x + 2) and $x \in W$

Accepted Answer

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

Determine if the following is a function or not. -The set of whole numbers $f ( x ) = \sqrt { x }$ where $x \in \{ 1,4,9,25,36 \}$

Write the statement in algebraic form. -The sum of 19 and a number

Solve the problem. -A private message agency charges 65 cents for the first ounce and 30 cents for each additional ounce or fraction of an ounce to send a message across town. How much does it cost to send a Message weighing 1.5 ounces?

Solve the problem. -A reservation clerk worked 8.55 hours one day. She spent twice as much time entering new reservations as she did verifying old ones and one and a half as much time calling to confirm Reservations as verifying old ones. How much time did she spend entering new reservations?

Write an equation relating the variables in the situation described. -The sum S of three integers when the largest number is five times the smallest m and two more than the middle one.

If the following is part of a geometric sequence, find the missing terms. -8,,_, 40

Simplify the radical. - $\sqrt { 20 }$

Find the square root, rounded to hundredths if necessary. - $\sqrt { 6.39 }$

Solve the equation. -21 - x = 3x + 5

Write an expression in terms of the given variable(s)that represents the indicated quantity. -The amount of money in cents in a jar containing n nickels and some dimes and some quarters if there are 3 times as many dimes as nickels and twice as many quarters as dimes.

Solve the problem. -A company can make 12 airplane engines for $57,600, while 30 airplane engines cost $68,580. What is the cost y(x)of producing x airplane engines.

Solve the problem. -Find the nth term of the following geometric sequence: $1 , - \frac { 1 } { \pi } , \frac { 1 } { \pi ^ { 2 } } , \ldots$

Solve for x, where x is a real number. - $125 ^ { x } = 25$

Write an equation relating the variables in the situation described. -The cost C of renting a video movie for n days if the charge is $2 plus $3 per day of renting.

Solve the problem. -The fixed cost for producing an item is $430. 10 items cost $1610 to produce. Express the total cost C(x)in terms of x, the number of items produced.

Write an equation relating the variables in the situation described. -The amount of money M in a piggy bank containing only nickels and dimes d, when there are five more nickels than dimes.

Solve the problem. -A moving firm charges a flat fee of $30 plus $25 per hour. Find the cost C(x)of using the moving firm for x hours.

Write the statement in algebraic form. -13 more than a number

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 1, 6, 11, 16, . . .

Determine if the following is a function or not. -f(x) is the product of x and (x + 2) and $x \in W$

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

Determine if the following is a function or not. -The set of whole numbers f(x)=xf ( x ) = \sqrt { x }f(x)=x​ where x∈{1,4,9,25,36}x \in \{ 1,4,9,25,36 \}x∈{1,4,9,25,36}