Question 1

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

Accepted Answer

A)  0 
B)  1 
C)  2 
D)  $- 1$ 
A)  0 
B)  1 
C)  2 
D)  $- 1$

Question 2

Solve the inequality, giving its solution set in both interval and graph forms.
-$\frac { 6 x - 4 } { - 4 } < - \frac { 10 } { 3 }$

Accepted Answer

A)  $\left( \frac { 52 } { 3 } , \infty \right)$
  
B)  $\left( - \infty , - \frac { 10 } { 3 } \right)$
  
C)  $\left( - \frac { 5 } { 9 } , \infty \right)$
  
D)  $\left(\frac{26}{9}, x\right)$
  
A)  $\left( \frac { 52 } { 3 } , \infty \right)$
  
B)  $\left( - \infty , - \frac { 10 } { 3 } \right)$
  
C)  $\left( - \frac { 5 } { 9 } , \infty \right)$
  
D)  $\left(\frac{26}{9}, x\right)$

Question 3

Solve the equation.
-$\frac { 2 x } { 5 } - \frac { x } { 3 } = 5$

Accepted Answer

A)  $\{ 75 \}$ 
B)  $\{ 150 \}$ 
C)  $\{ - 150 \}$ 
D)  $\{ - 75 \}$ 
A)  $\{ 75 \}$ 
B)  $\{ 150 \}$ 
C)  $\{ - 150 \}$ 
D)  $\{ - 75 \}$

Question 4

Solve the problem.
-Suppose y = mx + b is a mathematical model for actual time as a function of estimated time, where y represents actual time and x represents estimated time and m and b are constants. If m = 3.5 and B = -2.1, what was the estimated time, x, if the actual elapsed time is 102.9 minutes?

Accepted Answer

A) 30 min 
B) 102.9 min 
C) 358.05 min 
D) 367.5 min 
A) 30 min 
B) 102.9 min 
C) 358.05 min 
D) 367.5 min

Question 5

Walt made an extra $9000 last year from a part-time job. He invested part of the money at 10% and the rest at 7%. He made a total of $780 in interest. How much was invested at 7%?

Accepted Answer

A) $7000 
B) $4000 
C) $4500 
D) $5000 
A) $7000 
B) $4000 
C) $4500 
D) $5000

Question 6

Tom Quig traveled 220 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 7
Hours, how many miles did he drive at the reduced speed?

Accepted Answer

A) 35 miles 
B) 50 miles 
C) 60 miles 
D) 40 miles 
A) 35 miles 
B) 50 miles 
C) 60 miles 
D) 40 miles

Question 7

Answer the question based on the given graph.
-

In which month(s) is the percentage of earthquakes at least $9.3 \%$ ?

Accepted Answer

A)  June, September, and November 
B)  June, August, September, and November 
C)  June, July, September, and November 
D)  August, September, and November 
A)  June, September, and November 
B)  June, August, September, and November 
C)  June, July, September, and November 
D)  August, September, and November

Question 8

Evaluate the expression.
-$( - 5 ) ^ { 4 } - ( - 6 ) ^ { 4 }$

Accepted Answer

A)  1 
B)  $- 4$ 
C)  4 
D)  $- 671$ 
A)  1 
B)  $- 4$ 
C)  4 
D)  $- 671$

Question 9

Solve the equation.
-$5 z + 11 = 4 z + 4$

Accepted Answer

A)  $\{ - 15 \}$ 
B)  $\{ 15 \}$ 
C)  $\{ - 7 \}$ 
D)  $\{ 7 \}$ 
A)  $\{ - 15 \}$ 
B)  $\{ 15 \}$ 
C)  $\{ - 7 \}$ 
D)  $\{ 7 \}$

Question 10

Let x represent the unknown, and write an equation for the sentence. Do not solve.
-When 4 times a number is subtracted from 7 times the number, the result is 27.

Accepted Answer

A) 4x + 9x = 27 
B) 4x(7 - x)= 27 
C) 7x - 4x = 27 
D) 4(x - 7)= 27x 
A) 4x + 9x = 27 
B) 4x(7 - x)= 27 
C) 7x - 4x = 27 
D) 4(x - 7)= 27x

Question 11

The period of vibration P for a pendulum varies directly as the square root of the length L. If the period of vibration is 2 sec when the length is 16 inches, what is the period when L = 6.25 inches?
(Round to the nearest hundredth.)

Accepted Answer

A) 2.50 sec 
B) 1.25 sec 
C) 2.75 sec 
D) 2.25 sec 
A) 2.50 sec 
B) 1.25 sec 
C) 2.75 sec 
D) 2.25 sec

Question 12

Solve the inequality, giving its solution set in both interval and graph forms.
-$- 28 > - 7 c$

Accepted Answer

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

Question 13

Solve the equation.
-$- 9 b + 9 + 7 b = - 3 b + 14$

Accepted Answer

A)  $\{ - 14 \}$ 
B)  $\{ - 9 \}$ 
C)  $\{ 5 \}$ 
D)  $\{ 14 \}$ 
A)  $\{ - 14 \}$ 
B)  $\{ - 9 \}$ 
C)  $\{ 5 \}$ 
D)  $\{ 14 \}$

Question 14

Provide an appropriate response.
-$- \frac { 3 } { x } = 83$ Is this a linear equation?

Accepted Answer

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

Question 15

Solve the problem.
-In a sample of 85 widgets, 2 were defective. How many defective widgets would you expect in a sample of 340 widgets?

Accepted Answer

A) 6 widgets 
B) 11 widgets 
C) 8 widgets 
D) 22 widgets 
A) 6 widgets 
B) 11 widgets 
C) 8 widgets 
D) 22 widgets

Question 16

Solve the equation.
-$0.09 y + 0.13 ( 3000 - y ) = 0.46 y$

Accepted Answer

A)  $\{ 2340 \}$ 
B)  $\{ 780 \}$ 
C)  $\{ 195 \}$ 
D)  $\{ 1950 \}$ 
A)  $\{ 2340 \}$ 
B)  $\{ 780 \}$ 
C)  $\{ 195 \}$ 
D)  $\{ 1950 \}$

Question 17

Determine the ratio and write it in lowest terms.
-7 yards to 4 feet

Accepted Answer

A)  $\frac { 5 } { 22 }$ 
B)  $\frac { 4 } { 21 }$ 
C)  $\frac { 21 } { 4 }$ 
D)  $\frac { 22 } { 5 }$ 
A)  $\frac { 5 } { 22 }$ 
B)  $\frac { 4 } { 21 }$ 
C)  $\frac { 21 } { 4 }$ 
D)  $\frac { 22 } { 5 }$

Question 18

If $\mathrm { f }$ varies jointly as $\mathrm { q } ^ { 2 }$ and $h$, and $\mathrm { f } = - 81$ when $\mathrm { q } = 3$ and $\mathrm { h } = 3$, find $\mathrm { f }$ when $\mathrm { q } = 2$ and $h = 6$.

Accepted Answer

A)  $f = - 18$ 
B)  $f = - 72$ 
C)  $\mathrm { f } = - 36$ 
D)  $f = - 12$ 
A)  $f = - 18$ 
B)  $f = - 72$ 
C)  $\mathrm { f } = - 36$ 
D)  $f = - 12$

Question 19

Determine the ratio and write it in lowest terms.
-27 inches to 6 inches

Accepted Answer

A)  $\frac { 9 } { 2 }$ 
B)  $\frac { 2 } { 9 }$ 
C)  $\frac { 4 } { 1 }$ 
D)  $\frac { 1 } { 4 }$ 
A)  $\frac { 9 } { 2 }$ 
B)  $\frac { 2 } { 9 }$ 
C)  $\frac { 4 } { 1 }$ 
D)  $\frac { 1 } { 4 }$

Question 20

Tell which brand or which size is the better buy.
-Juice:
12-ounce size: $\$ 1.20$
32-ounce size: $\$ 2.99$
64-ounce size: $\$ 6.49$

Accepted Answer

A) 32-ounce size 
B) all equal 
C) 12-ounce size 
D) 64-ounce size 
A) 32-ounce size 
B) all equal 
C) 12-ounce size 
D) 64-ounce size

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

Solve the inequality, giving its solution set in both interval and graph forms. - $\frac { 6 x - 4 } { - 4 } < - \frac { 10 } { 3 }$ $Solve the inequality, giving its solution set in both interval and graph forms. - \frac { 6 x - 4 } { - 4 } < - \frac { 10 } { 3 }$

Solve the equation. - $\frac { 2 x } { 5 } - \frac { x } { 3 } = 5$

Walt made an extra $9000 last year from a part-time job. He invested part of the money at 10% and the rest at 7%. He made a total of $780 in interest. How much was invested at 7%?

Tom Quig traveled 220 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 7 Hours, how many miles did he drive at the reduced speed?

Answer the question based on the given graph. - $Answer the question based on the given graph. - In which month(s) is the percentage of earthquakes at least 9.3 \% ?$ In which month(s) is the percentage of earthquakes at least $9.3 \%$ ?

Evaluate the expression. - $( - 5 ) ^ { 4 } - ( - 6 ) ^ { 4 }$

Solve the equation. - $5 z + 11 = 4 z + 4$

Let x represent the unknown, and write an equation for the sentence. Do not solve. -When 4 times a number is subtracted from 7 times the number, the result is 27.

The period of vibration P for a pendulum varies directly as the square root of the length L. If the period of vibration is 2 sec when the length is 16 inches, what is the period when L = 6.25 inches? (Round to the nearest hundredth.)

Solve the inequality, giving its solution set in both interval and graph forms. - $- 28 > - 7 c$

Solve the equation. - $- 9 b + 9 + 7 b = - 3 b + 14$

Provide an appropriate response. - $- \frac { 3 } { x } = 83$ Is this a linear equation?

Solve the problem. -In a sample of 85 widgets, 2 were defective. How many defective widgets would you expect in a sample of 340 widgets?

Solve the equation. - $0.09 y + 0.13 ( 3000 - y ) = 0.46 y$

Determine the ratio and write it in lowest terms. -7 yards to 4 feet

If $\mathrm { f }$ varies jointly as $\mathrm { q } ^ { 2 }$ and $h$ , and $\mathrm { f } = - 81$ when $\mathrm { q } = 3$ and $\mathrm { h } = 3$ , find $\mathrm { f }$ when $\mathrm { q } = 2$ and $h = 6$ .

Determine the ratio and write it in lowest terms. -27 inches to 6 inches

Tell which brand or which size is the better buy. -Juice: 12-ounce size: $\$ 1.20$ 32-ounce size: $\$ 2.99$ 64-ounce size: $\$ 6.49$

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. - (−2)0−20( - 2 ) ^ { 0 } - 2 ^ { 0 }(−2)0−20

Solve the inequality, giving its solution set in both interval and graph forms. - 6x−4−4<−103\frac { 6 x - 4 } { - 4 } < - \frac { 10 } { 3 }−46x−4​<−310​

Solve the equation. - 2x5−x3=5\frac { 2 x } { 5 } - \frac { x } { 3 } = 552x​−3x​=5

Walt made an extra $9000 last year from a part-time job. He invested part of the money at 10% and the rest at 7%. He made a total of $780 in interest. How much was invested at 7%?

Tom Quig traveled 220 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 7 Hours, how many miles did he drive at the reduced speed?

Answer the question based on the given graph. - In which month(s) is the percentage of earthquakes at least 9.3%9.3 \%9.3% ?

Evaluate the expression. - (−5)4−(−6)4( - 5 ) ^ { 4 } - ( - 6 ) ^ { 4 }(−5)4−(−6)4

Solve the equation. - 5z+11=4z+45 z + 11 = 4 z + 45z+11=4z+4

Let x represent the unknown, and write an equation for the sentence. Do not solve. -When 4 times a number is subtracted from 7 times the number, the result is 27.

The period of vibration P for a pendulum varies directly as the square root of the length L. If the period of vibration is 2 sec when the length is 16 inches, what is the period when L = 6.25 inches? (Round to the nearest hundredth.)

Solve the inequality, giving its solution set in both interval and graph forms. - −28>−7c- 28 > - 7 c−28>−7c

Solve the equation. - −9b+9+7b=−3b+14- 9 b + 9 + 7 b = - 3 b + 14−9b+9+7b=−3b+14

Provide an appropriate response. - −3x=83- \frac { 3 } { x } = 83−x3​=83 Is this a linear equation?

Solve the problem. -In a sample of 85 widgets, 2 were defective. How many defective widgets would you expect in a sample of 340 widgets?

Solve the equation. - 0.09y+0.13(3000−y)=0.46y0.09 y + 0.13 ( 3000 - y ) = 0.46 y0.09y+0.13(3000−y)=0.46y

Determine the ratio and write it in lowest terms. -7 yards to 4 feet

If f\mathrm { f }f varies jointly as q2\mathrm { q } ^ { 2 }q2 and hhh , and f=−81\mathrm { f } = - 81f=−81 when q=3\mathrm { q } = 3q=3 and h=3\mathrm { h } = 3h=3 , find f\mathrm { f }f when q=2\mathrm { q } = 2q=2 and h=6h = 6h=6 .

Determine the ratio and write it in lowest terms. -27 inches to 6 inches

Tell which brand or which size is the better buy. -Juice: 12-ounce size: $1.20\$ 1.20$1.20 32-ounce size: $2.99\$ 2.99$2.99 64-ounce size: $6.49\$ 6.49$6.49

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. - $( - 2 ) ^ { 0 } - 2 ^ { 0 }$

Solve the inequality, giving its solution set in both interval and graph forms. - $\frac { 6 x - 4 } { - 4 } < - \frac { 10 } { 3 }$ $Solve the inequality, giving its solution set in both interval and graph forms. - \frac { 6 x - 4 } { - 4 } < - \frac { 10 } { 3 }$

Solve the equation. - $\frac { 2 x } { 5 } - \frac { x } { 3 } = 5$

Answer the question based on the given graph. - $Answer the question based on the given graph. - In which month(s) is the percentage of earthquakes at least 9.3 \% ?$ In which month(s) is the percentage of earthquakes at least $9.3 \%$ ?

Evaluate the expression. - $( - 5 ) ^ { 4 } - ( - 6 ) ^ { 4 }$

Solve the equation. - $5 z + 11 = 4 z + 4$

Solve the inequality, giving its solution set in both interval and graph forms. - $- 28 > - 7 c$

Solve the equation. - $- 9 b + 9 + 7 b = - 3 b + 14$

Provide an appropriate response. - $- \frac { 3 } { x } = 83$ Is this a linear equation?

Solve the equation. - $0.09 y + 0.13 ( 3000 - y ) = 0.46 y$

If $\mathrm { f }$ varies jointly as $\mathrm { q } ^ { 2 }$ and $h$ , and $\mathrm { f } = - 81$ when $\mathrm { q } = 3$ and $\mathrm { h } = 3$ , find $\mathrm { f }$ when $\mathrm { q } = 2$ and $h = 6$ .

Tell which brand or which size is the better buy. -Juice: 12-ounce size: $\$ 1.20$ 32-ounce size: $\$ 2.99$ 64-ounce size: $\$ 6.49$