Question 1

Evaluate the expression.
-$7 ^ { 4 }$

Accepted Answer

A)  28 
B)  11 
C)  5 
D)  2401 
A)  28 
B)  11 
C)  5 
D)  2401

Question 2

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
-A number minus 130

Accepted Answer

A) x - 130 
B) 130 
C) 130x 
D) x + 130 
A) x - 130 
B) 130 
C) 130x 
D) x + 130

Question 3

Jill is 18 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 2 kilometers per hour. They meet in 4 hours. How fast is Joe walking?

Accepted Answer

A) 3.5 kilometers per hour 
B) 4.5 kilometers per hour 
C) 2 kilometers per hour 
D) 2.5 kilometers per hour 
A) 3.5 kilometers per hour 
B) 4.5 kilometers per hour 
C) 2 kilometers per hour 
D) 2.5 kilometers per hour

Question 4

Provide an appropriate response.
-$5 x ^ { 2 } - 7 = 3 x$ Is this a linear equation?

Accepted Answer

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

Question 5

There were 510 people at a play. The admission price was $3.00 for adults and $1.00 for children. The admission receipts were $930. How many adults and children attended?

Accepted Answer

A) 232 adults and 278 children 
B) 150 adults and 360 children 
C) 210 adults and 300 children 
D) 300 adults and 210 children 
A) 232 adults and 278 children 
B) 150 adults and 360 children 
C) 210 adults and 300 children 
D) 300 adults and 210 children

Question 6

Solve the equation.
-$\frac { 5 x + 7 } { 5 } + \frac { 6 x - 8 } { 5 } = - \frac { 1 } { 3 }$

Accepted Answer

A)  $\left\{ - \frac { 50 } { 33 } \right\}$ 
B)  $\left\{ - \frac { 2 } { 33 } \right\}$ 
C)  $\left\{ - \frac { 8 } { 33 } \right\}$ 
D)  $\left\{ \frac { 14 } { 165 } \right\}$ 
A)  $\left\{ - \frac { 50 } { 33 } \right\}$ 
B)  $\left\{ - \frac { 2 } { 33 } \right\}$ 
C)  $\left\{ - \frac { 8 } { 33 } \right\}$ 
D)  $\left\{ \frac { 14 } { 165 } \right\}$

Question 7

Determine the ratio and write it in lowest terms.
-76 feet to 24 feet

Accepted Answer

A)  $\frac { 25 } { 77 }$ 
B)  $\frac { 19 } { 6 }$ 
C)  $\frac { 6 } { 19 }$ 
D)  $\frac { 77 } { 25 }$ 
A)  $\frac { 25 } { 77 }$ 
B)  $\frac { 19 } { 6 }$ 
C)  $\frac { 6 } { 19 }$ 
D)  $\frac { 77 } { 25 }$

Question 8

The speed of a stream is 4 mph. If a boat travels 90 miles downstream in the same time that it takes to travel 45 miles upstream, what is the speed of the boat in still water?

Accepted Answer

A) 14 mph 
B) 8 mph 
C) 12 mph 
D) 15 mph 
A) 14 mph 
B) 8 mph 
C) 12 mph 
D) 15 mph

Question 9

Evaluate.
-$13 ^ { 0 } + ( - 2 ) ^ { 0 }$

Accepted Answer

A)  1 
B)  11 
C)  0 
D)  2 
A)  1 
B)  11 
C)  0 
D)  2

Question 10

Answer the question based on the given graph.
-

In which month(s) did the percent of tropical storms exceed $10 \%$ ?

Accepted Answer

A)  February, March, April 
B)  May, June, July 
C)  March 
D)  December, January, February, March, April 
A)  February, March, April 
B)  May, June, July 
C)  March 
D)  December, January, February, March, April

Question 11

Solve the inequality, giving its solution set in both interval and graph forms.
-$3 z + 4 > 2 z - 2$

Accepted Answer

A)  $[ - 6 , \infty )$
  
B)  $( - 6 , \infty )$
  
C)  $( - \infty , - 6 ]$
  
D)  $( 2 , \infty )$
  
A)  $[ - 6 , \infty )$
  
B)  $( - 6 , \infty )$
  
C)  $( - \infty , - 6 ]$
  
D)  $( 2 , \infty )$

Question 12

Evaluate the expression.
-$\frac { 5 ^ { - 3 } } { 2 ^ { - 4 } }$

Accepted Answer

A)  $\frac { 16 } { 125 }$ 
B)  $\frac { 625 } { 32 }$ 
C)  $\frac { 125 } { 16 }$ 
D)  $\frac { 32 } { 625 }$ 
A)  $\frac { 16 } { 125 }$ 
B)  $\frac { 625 } { 32 }$ 
C)  $\frac { 125 } { 16 }$ 
D)  $\frac { 32 } { 625 }$

Question 13

Solve the equation.
-$\frac { 3 x + 10 } { 6 } = \frac { 7 x - 11 } { 8 }$

Accepted Answer

A)  $- 8 \frac { 1 } { 9 }$ 
B)  $\frac { 7 } { 9 }$ 
C)  $8 \frac { 1 } { 9 }$ 
D)  $- 2 \frac { 7 } { 33 }$ 
A)  $- 8 \frac { 1 } { 9 }$ 
B)  $\frac { 7 } { 9 }$ 
C)  $8 \frac { 1 } { 9 }$ 
D)  $- 2 \frac { 7 } { 33 }$

Question 14

A woman has $1.70 in dimes and nickels. She has 5 more dimes than nickels. How many nickels does she have?

Accepted Answer

A) 13 nickels 
B) 3 nickels 
C) 8 nickels 
D) 18 nickels 
A) 13 nickels 
B) 3 nickels 
C) 8 nickels 
D) 18 nickels

Question 15

Solve the formula for the specified variable.
-$\mathrm { A } = \mathrm { P } + \mathrm { Pr } ;$ for $\mathrm { P }$

Accepted Answer

A)  $P = A - P r$ 
B)  $P = \frac { A } { 1 + r }$ 
C)  $P = A - r - 1$ 
D)  $P = \frac { r } { A + 1 }$ 
A)  $P = A - P r$ 
B)  $P = \frac { A } { 1 + r }$ 
C)  $P = A - r - 1$ 
D)  $P = \frac { r } { A + 1 }$

Question 16

Alan drives from his house to his mother's house in 16 hours. He drives at an average speed of 63 miles per hour. What is the distance from Alan's house to his mother's house?

Accepted Answer

A) 3.9 miles 
B) 1018 miles 
C) 1008 miles 
D) 988 miles 
A) 3.9 miles 
B) 1018 miles 
C) 1008 miles 
D) 988 miles

Question 17

Solve the equation.
-$- 0.305 ( 4000 ) + 0.5 x = 0.04 ( 4000 + x )$

Accepted Answer

A)  $\{ 2900 \}$ 
B)  $\{ 1500 \}$ 
C)  $\{ 3000 \}$ 
D)  $\{ 3100 \}$ 
A)  $\{ 2900 \}$ 
B)  $\{ 1500 \}$ 
C)  $\{ 3000 \}$ 
D)  $\{ 3100 \}$

Question 18

It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 50 liters of 20% solution. How many liters of this should be drained and replaced with 100%
Antifreeze to get the desired strength?

Accepted Answer

A) 20 liters 
B) 12.5 liters 
C) 25 liters 
D) 16.7 liters 
A) 20 liters 
B) 12.5 liters 
C) 25 liters 
D) 16.7 liters

Question 19

Solve the problem.
-Company A rents copiers for a monthly charge of $120 plus 8 cents per copy. Company B rents copiers for a monthly charge of $240 plus 4 cents per copy. What is the number of copies above Which Company A's charges are the higher of the two?

Accepted Answer

A) 6000 copies 
B) 3100 copies 
C) 3000 copies 
D) 1500 copies 
A) 6000 copies 
B) 3100 copies 
C) 3000 copies 
D) 1500 copies

Question 20

Solve the inequality, then graph the solution.
-$0 < - 2 b \leq 8$

Accepted Answer

A)  $[ - 4,0 )$
  
B)  $[ 0,4 )$
  
C)  $( 0,4 ]$
  
D)  $( - 4,0 ]$
  
A)  $[ - 4,0 )$
  
B)  $[ 0,4 )$
  
C)  $( 0,4 ]$
  
D)  $( - 4,0 ]$

Evaluate the expression. - $7 ^ { 4 }$

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -A number minus 130

Jill is 18 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 2 kilometers per hour. They meet in 4 hours. How fast is Joe walking?

Provide an appropriate response. - $5 x ^ { 2 } - 7 = 3 x$ Is this a linear equation?

There were 510 people at a play. The admission price was $3.00 for adults and $1.00 for children. The admission receipts were $930. How many adults and children attended?

Solve the equation. - $\frac { 5 x + 7 } { 5 } + \frac { 6 x - 8 } { 5 } = - \frac { 1 } { 3 }$

Determine the ratio and write it in lowest terms. -76 feet to 24 feet

The speed of a stream is 4 mph. If a boat travels 90 miles downstream in the same time that it takes to travel 45 miles upstream, what is the speed of the boat in still water?

Evaluate. - $13 ^ { 0 } + ( - 2 ) ^ { 0 }$

Answer the question based on the given graph. - $Answer the question based on the given graph. - In which month(s) did the percent of tropical storms exceed 10 \% ?$ In which month(s) did the percent of tropical storms exceed $10 \%$ ?

Solve the inequality, giving its solution set in both interval and graph forms. - $3 z + 4 > 2 z - 2$

Evaluate the expression. - $\frac { 5 ^ { - 3 } } { 2 ^ { - 4 } }$

Solve the equation. - $\frac { 3 x + 10 } { 6 } = \frac { 7 x - 11 } { 8 }$

A woman has $1.70 in dimes and nickels. She has 5 more dimes than nickels. How many nickels does she have?

Solve the formula for the specified variable. - $\mathrm { A } = \mathrm { P } + \mathrm { Pr } ;$ for $\mathrm { P }$

Alan drives from his house to his mother's house in 16 hours. He drives at an average speed of 63 miles per hour. What is the distance from Alan's house to his mother's house?

Solve the equation. - $- 0.305 ( 4000 ) + 0.5 x = 0.04 ( 4000 + x )$

It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 50 liters of 20% solution. How many liters of this should be drained and replaced with 100% Antifreeze to get the desired strength?

Solve the problem. -Company A rents copiers for a monthly charge of $120 plus 8 cents per copy. Company B rents copiers for a monthly charge of $240 plus 4 cents per copy. What is the number of copies above Which Company A's charges are the higher of the two?

Solve the inequality, then graph the solution. - $0 < - 2 b \leq 8$ $Solve the inequality, then graph the solution. - 0 < - 2 b \leq 8$

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Exam 7: The Basic Concepts of Algebra

Evaluate the expression. - 747 ^ { 4 }74

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -A number minus 130

Jill is 18 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 2 kilometers per hour. They meet in 4 hours. How fast is Joe walking?

Provide an appropriate response. - 5x2−7=3x5 x ^ { 2 } - 7 = 3 x5x2−7=3x Is this a linear equation?

There were 510 people at a play. The admission price was $3.00 for adults and $1.00 for children. The admission receipts were $930. How many adults and children attended?

Solve the equation. - 5x+75+6x−85=−13\frac { 5 x + 7 } { 5 } + \frac { 6 x - 8 } { 5 } = - \frac { 1 } { 3 }55x+7​+56x−8​=−31​

Determine the ratio and write it in lowest terms. -76 feet to 24 feet

The speed of a stream is 4 mph. If a boat travels 90 miles downstream in the same time that it takes to travel 45 miles upstream, what is the speed of the boat in still water?

Evaluate. - 130+(−2)013 ^ { 0 } + ( - 2 ) ^ { 0 }130+(−2)0

Answer the question based on the given graph. - In which month(s) did the percent of tropical storms exceed 10%10 \%10% ?

Solve the inequality, giving its solution set in both interval and graph forms. - 3z+4>2z−23 z + 4 > 2 z - 23z+4>2z−2

Evaluate the expression. - 5−32−4\frac { 5 ^ { - 3 } } { 2 ^ { - 4 } }2−45−3​

Solve the equation. - 3x+106=7x−118\frac { 3 x + 10 } { 6 } = \frac { 7 x - 11 } { 8 }63x+10​=87x−11​

A woman has $1.70 in dimes and nickels. She has 5 more dimes than nickels. How many nickels does she have?

Solve the formula for the specified variable. - A=P+Pr;\mathrm { A } = \mathrm { P } + \mathrm { Pr } ;A=P+Pr; for P\mathrm { P }P

Alan drives from his house to his mother's house in 16 hours. He drives at an average speed of 63 miles per hour. What is the distance from Alan's house to his mother's house?

Solve the equation. - −0.305(4000)+0.5x=0.04(4000+x)- 0.305 ( 4000 ) + 0.5 x = 0.04 ( 4000 + x )−0.305(4000)+0.5x=0.04(4000+x)

It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 50 liters of 20% solution. How many liters of this should be drained and replaced with 100% Antifreeze to get the desired strength?

Solve the problem. -Company A rents copiers for a monthly charge of $120 plus 8 cents per copy. Company B rents copiers for a monthly charge of $240 plus 4 cents per copy. What is the number of copies above Which Company A's charges are the higher of the two?

Solve the inequality, then graph the solution. - 0<−2b≤80 < - 2 b \leq 80<−2b≤8

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Evaluate the expression. - $7 ^ { 4 }$

Provide an appropriate response. - $5 x ^ { 2 } - 7 = 3 x$ Is this a linear equation?

Solve the equation. - $\frac { 5 x + 7 } { 5 } + \frac { 6 x - 8 } { 5 } = - \frac { 1 } { 3 }$

Evaluate. - $13 ^ { 0 } + ( - 2 ) ^ { 0 }$

Answer the question based on the given graph. - $Answer the question based on the given graph. - In which month(s) did the percent of tropical storms exceed 10 \% ?$ In which month(s) did the percent of tropical storms exceed $10 \%$ ?

Solve the inequality, giving its solution set in both interval and graph forms. - $3 z + 4 > 2 z - 2$

Evaluate the expression. - $\frac { 5 ^ { - 3 } } { 2 ^ { - 4 } }$

Solve the equation. - $\frac { 3 x + 10 } { 6 } = \frac { 7 x - 11 } { 8 }$

Solve the formula for the specified variable. - $\mathrm { A } = \mathrm { P } + \mathrm { Pr } ;$ for $\mathrm { P }$

Solve the equation. - $- 0.305 ( 4000 ) + 0.5 x = 0.04 ( 4000 + x )$

Solve the inequality, then graph the solution. - $0 < - 2 b \leq 8$ $Solve the inequality, then graph the solution. - 0 < - 2 b \leq 8$