Question 1

Express the statement as an algebraic expression.
-One-fourth the weight , w, increased by 8 pounds

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)    A

Question 2

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-An accountant receives a salary of $270,775 per year. During the year, he plans to spend $97,000 on his mortgage, $52,000 on food, $39,000 on clothing, $45,000 on household expenses, and $29,000 on other expenses.
With the money that is left, he expects to buy as many shares of stock at $225 per share as possible. How many
Shares will he be able to buy?

Accepted Answer

A)  36 shares 
B)  41 shares 
C)  39 shares 
D)  38 shares 
A)  36 shares 
B)  41 shares 
C)  39 shares 
D)  38 shares C

Question 3

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-Two friends decide to meet in Chicago to attend a Cubs baseball game. Rob travels 240 miles in the same time that Carl travels 224 miles. Rob's trip uses more interstate highways and he can average 4 mph more than Carl.
What is Rob's average speed?

Accepted Answer

A)  56 mph 
B)  58 mph 
C)  60 mph 
D)  62 mph 
A)  56 mph 
B)  58 mph 
C)  60 mph 
D)  62 mph C

Question 4

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-Khang and Hector live 45.9 miles apart. They decide to bicycle towards each other and meet somewhere in between. Hector's rate of speed is 70% of Khang's. They start out at the same time and meet 3 hours later. Find
Hector's rate of speed.

Accepted Answer

A)  6.3 mph 
B)  27 mph 
C)  9 mph 
D)  45.9 mph 
A)  6.3 mph 
B)  27 mph 
C)  9 mph 
D)  45.9 mph

Question 5

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-On a road trip, five friends drove at 50 miles per hour to California. On the way home, they took the same route but drove 75 miles per hour. How many miles did they drive on the way to California if the round trip took 10
Hours?

Accepted Answer

A)  600 miles 
B)  6 miles 
C)  1500 miles 
D)  300 miles 
A)  600 miles 
B)  6 miles 
C)  1500 miles 
D)  300 miles

Question 6

Solve the problem.
-A bookcase is to be constructed with three shelves as shown. The height of the bookcase is 6 feet longer than the length of a shelf, and only 30 feet of lumber is available. What should be the width and height of the bookcase?

Accepted Answer

A)  length = 3 feet; height = 18 feet 
B)  length = 4.5 feet; height = 10.5 feet 
C)  length = 3 feet; height = 9 feet 
D)  length = 12 feet; height = 13.5 feet 
A)  length = 3 feet; height = 18 feet 
B)  length = 4.5 feet; height = 10.5 feet 
C)  length = 3 feet; height = 9 feet 
D)  length = 12 feet; height = 13.5 feet

Question 7

Write the indicated expression.
-The smaller of two numbers is 52 less than four times the larger number. Write an expression for the smaller number subtracted from the larger number. Let n represent the larger number.

Accepted Answer

A)  4n - (n - 52) 
B)  n - (n - 4·52) 
C)  n - (4n - 4·52) 
D)  n - (4n - 52) 
A)  4n - (n - 52) 
B)  n - (n - 4·52) 
C)  n - (4n - 4·52) 
D)  n - (4n - 52)

Question 8

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-Susan purchased some municipal bonds yielding 7% annually and some certificates of deposit yielding 9% annually. If Susan's investment amounts to $19,000 and the annual income is $1590, how much money is
Invested in bonds and how much is invested in certificates of deposit?

Accepted Answer

A)  $5500 in bonds; $13,500 in certificates of deposit 
B)  $13,500 in bonds; $5500 in certificates of deposit 
C)  $6000 in bonds; $13,000 in certificates of deposit 
D)  $13,000 in bonds; $6000 in certificates of deposit 
A)  $5500 in bonds; $13,500 in certificates of deposit 
B)  $13,500 in bonds; $5500 in certificates of deposit 
C)  $6000 in bonds; $13,000 in certificates of deposit 
D)  $13,000 in bonds; $6000 in certificates of deposit

Question 9

Write the indicated expression.
-The assessed value of Linda Grill's house is 2000 more than twice that of Mel Murphy's house. Write an expression for the sum of the assessed values. Let v represent the value of Mel Murphy's house.

Accepted Answer

A)  v + (2v + 2000) 
B)  v + (v + 2·2000) 
C)  v + (v + 2000) 
D)  v + (2v - 2000) 
A)  v + (2v + 2000) 
B)  v + (v + 2·2000) 
C)  v + (v + 2000) 
D)  v + (2v - 2000)

Question 10

Express the statement as an algebraic expression.
-The sum of twice a number and 48

Accepted Answer

A)  96 + x 
B)  2x + 48 
C)  2(x + 48) 
D)  2 + x + 48 
A)  96 + x 
B)  2x + 48 
C)  2(x + 48) 
D)  2 + x + 48

Question 11

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-After a 14% price reduction, a boat sold for $21,500. What was the boat's price before the reduction? (Round to the nearest cent, if necessary.)

Accepted Answer

A)  $3010.00 
B)  $25,000 
C)  $153,571.43 
D)  $24,510.00 
A)  $3010.00 
B)  $25,000 
C)  $153,571.43 
D)  $24,510.00

Question 12

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-You inherit $10,000 with the stipulation that for the first year the money must be invested in two stocks paying 6% and 11% annual interest, respectively. How much should be invested at each rate if the total interest earned
For the year is to be $700?

Accepted Answer

A)  $2000 invested at 6%; $8000 invested at 11% 
B)  $8000 invested at 6%; $2000 invested at 11% 
C)  $7000 invested at 6%; $3000 invested at 11% 
D)  $9000 invested at 6%; $1000 invested at 11% 
A)  $2000 invested at 6%; $8000 invested at 11% 
B)  $8000 invested at 6%; $2000 invested at 11% 
C)  $7000 invested at 6%; $3000 invested at 11% 
D)  $9000 invested at 6%; $1000 invested at 11%

Question 13

Express the statement as an algebraic expression.
-The quotient of a number and 94

Accepted Answer

A)    
B)  94x 
C)  94 - x 
D)    
A)    
B)  94x 
C)  94 - x 
D)

Question 14

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-Alexander and Judy are 26 miles apart on a calm lake paddling toward each other. Alexander paddles at 3 miles per hour, while Judy paddles at 6 miles per hour. How long will it take them to meet?

Accepted Answer

A)  8.7 hours 
B)  2.9 hours 
C)  17 hours 
D)  2.8 hours 
A)  8.7 hours 
B)  2.9 hours 
C)  17 hours 
D)  2.8 hours

Question 15

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-A college student earned $7200 during summer vacation working as a waiter in a popular restaurant. The student invested part of the money at 9% and the rest at 8%. If the student received a total of $613 in interest at
The end of the year, how much was invested at 9%?

Accepted Answer

A)  $3500 
B)  $900 
C)  $3700 
D)  $3600 
A)  $3500 
B)  $900 
C)  $3700 
D)  $3600

Question 16

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-Doreen and Irena plan to leave their houses at the same time, roller blade towards each other, and meet for lunch after 3 hours on the road. Doreen can maintain a speed of 4.8 miles per hour, which is 40% of Irena's
Speed. If they meet exactly as planned, what is the distance between their houses?

Accepted Answer

A)  50.4 miles 
B)  36 miles 
C)  20.16 miles 
D)  14.4 miles 
A)  50.4 miles 
B)  36 miles 
C)  20.16 miles 
D)  14.4 miles

Question 17

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-Melita Zuba made a $600,000 cash contribution to two charities, the American Brain Tumor Association and the National Brain Tumor Foundation. The amount received by the National Brain Tumor Foundation was 20%
Greater than the amount received by the American Brain Tumor Association. How much did the American
Brain Tumor Association receive?

Accepted Answer

A)  $327,272.73 
B)  $600,000 
C)  $272,727.27 
D)  $500,000.00 
A)  $327,272.73 
B)  $600,000 
C)  $272,727.27 
D)  $500,000.00

Question 18

Write an equation to represent the problem.
-Scot and Elizabeth ate dinner at an upscale bistro. The cost of their meals plus a 16% tip was $63.52.

Accepted Answer

A)  x + 1.6x = 63.52 
B)  x + 16x = 63.52 
C)  x + 0.16x = 63.52 
D)  x + 0.16 = 63.52 
A)  x + 1.6x = 63.52 
B)  x + 16x = 63.52 
C)  x + 0.16x = 63.52 
D)  x + 0.16 = 63.52

Question 19

Determine what x =.
-The motorcycle costs $13,000 more than the moped.

Accepted Answer

A)  x = cost of the motorcycle minus the cost of the moped 
B)  x = cost of the moped 
C)  x = cost of the motorcycle 
D)  x = cost of the moped plus the cost of the motorcycle 
A)  x = cost of the motorcycle minus the cost of the moped 
B)  x = cost of the moped 
C)  x = cost of the motorcycle 
D)  x = cost of the moped plus the cost of the motorcycle

Question 20

Write an equation to represent the problem.
-Jennifer Park's 2007 income was 6.9% greater than her 2006 income. Her income in 2007 was $78,100. Let i represent 2006 income.

Accepted Answer

A)  i - 0.069i = 78,100 
B)  2i + 0.069i = 78,100 
C)  i + 0.069·78,100 = 78,100 
D)  i + 0.069i = 78,100 
A)  i - 0.069i = 78,100 
B)  2i + 0.069i = 78,100 
C)  i + 0.069·78,100 = 78,100 
D)  i + 0.069i = 78,100

Express the statement as an algebraic expression. -One-fourth the weight , w, increased by 8 pounds

Solve the problem. -A bookcase is to be constructed with three shelves as shown. The height of the bookcase is 6 feet longer than the length of a shelf, and only 30 feet of lumber is available. What should be the width and height of the bookcase?

Write the indicated expression. -The smaller of two numbers is 52 less than four times the larger number. Write an expression for the smaller number subtracted from the larger number. Let n represent the larger number.

Write the indicated expression. -The assessed value of Linda Grill's house is 2000 more than twice that of Mel Murphy's house. Write an expression for the sum of the assessed values. Let v represent the value of Mel Murphy's house.

Express the statement as an algebraic expression. -The sum of twice a number and 48

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -After a 14% price reduction, a boat sold for $21,500. What was the boat's price before the reduction? (Round to the nearest cent, if necessary.)

Express the statement as an algebraic expression. -The quotient of a number and 94

Write an equation to represent the problem. -Scot and Elizabeth ate dinner at an upscale bistro. The cost of their meals plus a 16% tip was $63.52.

Determine what x =. -The motorcycle costs $13,000 more than the moped.

Write an equation to represent the problem. -Jennifer Park's 2007 income was 6.9% greater than her 2006 income. Her income in 2007 was $78,100. Let i represent 2006 income.

Real Numbers

Solving Linear Equations and Inequalities

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters

Exam 3: Applications of Algebra