Question 1

Solve the problem.
-Janet drove 268 kilometers and the trip took 4 hours. How fast was Janet traveling?

Accepted Answer

A)  68 km/hr 
B)  1072 km/hr   
C)  67 km/hr   
D)    km/hr   
A)  68 km/hr 
B)  1072 km/hr   
C)  67 km/hr   
D)    km/hr

Question 2

Choose the one alternative that best completes the statement or answers the question Solve the equation.
-10y + 2 = 1 + 3y

Accepted Answer

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

Question 3

Solve the problem.
-The distance between city A and city B is 3500 mi. On a certain map, this distance is represented by 105 in. On the same map, city C and city D are 108 in. apart. What is the actual distance between city C and city D?

Accepted Answer

A)  360 mi 
B)  3700 mi 
C)  3600 mi 
D)  3610 mi 
A)  360 mi 
B)  3700 mi 
C)  3600 mi 
D)  3610 mi

Question 4

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.
-I = prt; I = 8.4, p = 210, r = 0.01

Accepted Answer

A)  17.64 
B)  4 
C)  0.4 
D)  0.1764 
A)  17.64 
B)  4 
C)  0.4 
D)  0.1764

Question 5

Solve the equation.
--6a = 36

Accepted Answer

A)  { -42} 
B)  { 1} 
C)  { -6} 
D)  { 42} 
A)  { -42} 
B)  { 1} 
C)  { -6} 
D)  { 42}

Question 6

Solve the problem.
-A company that produces handbags has found that revenue from the sales of the handbags is $4 per handbag, less sales costs of $100. Production costs are $125, plus $3 per handbag. Profit (P) is given by revenue (R) less cost (C), so the company must find the production level x that makes
P > 0, that is, R - C > 0.
(a) Write an expression for revenue, R, letting x represent the production level (number of handbags to be produced.)
(b) Write an expression for production costs C in terms of x.
(c) Write an expression for profit P, and then solve the inequality P > 0.
(d) Describe the solution in terms of the problem.

Accepted Answer

A) 
(a) R = 4x - 100;
(b) C = 125 - 3x;
(c) P = ( 4x - 100) - ( 125 - 3x) = x - 175; x > 175;
(d) To make a profit, more than 175 handbags must be produced and sold. 
B) 
(a) R = 4x - 100;
(b) C = 75 + 5x;
(c) P = ( 4x - 100) - ( 75 + 5x) = x - 125; x > 125;
(d) To make a profit, more than 125 handbags must be produced and sold. 
C) 
(a) R = 4x - 100;
(b) C = 125 + 3x;
(c) P = ( 4x - 100) - ( 125 + 3x) = x - 225; x > 225;
(d) To make a profit, more than 225 handbags must be produced and sold. 
D) 
(a) R = 4x + 100;
(b) C = 125 + 3x;
(c) P = ( 4x + 100) - ( 125 + 3x) = x - 25; x > 25;
(d) To make a profit, more than 25 handbags must be produced and sold. 
A) 
(a) R = 4x - 100;
(b) C = 125 - 3x;
(c) P = ( 4x - 100) - ( 125 - 3x) = x - 175; x > 175;
(d) To make a profit, more than 175 handbags must be produced and sold. 
B) 
(a) R = 4x - 100;
(b) C = 75 + 5x;
(c) P = ( 4x - 100) - ( 75 + 5x) = x - 125; x > 125;
(d) To make a profit, more than 125 handbags must be produced and sold. 
C) 
(a) R = 4x - 100;
(b) C = 125 + 3x;
(c) P = ( 4x - 100) - ( 125 + 3x) = x - 225; x > 225;
(d) To make a profit, more than 225 handbags must be produced and sold. 
D) 
(a) R = 4x + 100;
(b) C = 125 + 3x;
(c) P = ( 4x + 100) - ( 125 + 3x) = x - 25; x > 25;
(d) To make a profit, more than 25 handbags must be produced and sold.

Question 7

Choose the one alternative that best completes the statement or answers the question Solve the equation.
-  ( 6x - 12) =   ( 8x - 4)

Accepted Answer

A)  {-1} 
B)    
C)  {1} 
D)  {-8} 
A)  {-1} 
B)    
C)  {1} 
D)  {-8}

Question 8

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.
-P = 2L + 2W; P = 18, W = 5

Accepted Answer

A)  4 
B)  13 
C)  6.5 
D)  9 
A)  4 
B)  13 
C)  6.5 
D)  9

Question 9

Solve the formula for the specified variable.
-I =   for n

Accepted Answer

A)  n =   
B)  n =   
C)  n =   
A)  n =   
B)  n =   
C)  n =

Question 10

Solve the equation.
-  =

Accepted Answer

A)  { 8} 
B)    
C)    
D)  { 7} 
A)  { 8} 
B)    
C)    
D)  { 7}

Question 11

Multiply by powers of 10.
-0.000058 × 1000

Accepted Answer

A)  0.58 
B)  5.8 
C)  0.0058 
D)  0.058 
A)  0.58 
B)  5.8 
C)  0.0058 
D)  0.058

Question 12

Express the phrase as a ratio in lowest terms.
-68 ft to 16 ft

Accepted Answer

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

Question 13

Solve the inequality and write the solution set in interval notation.
-4x $\le$ - 36

Accepted Answer

A)  (-$\infty$, - 9] 
B)  [ -9, $\infty$) 
C)  (-$\infty$, 9] 
D)  [ 9, $\infty$) 
A)  (-$\infty$, - 9] 
B)  [ -9, $\infty$) 
C)  (-$\infty$, 9] 
D)  [ 9, $\infty$)

Question 14

Solve the equation.
-4 - (x - 4) = -5x + 4(x + 1)

Accepted Answer

A)    
B)    
C)  {all real numbers} 
D)    
A)    
B)    
C)  {all real numbers} 
D)

Question 15

Write an inequality involving the variable x that describes the set of numbers graphed.
-

Accepted Answer

A)  -6 < x $\le$ -2 
B)  -6 $\le$ x < -2 
C)  -6 $\le$ x $\le$ -2 
D)  -6 < x < -2 
A)  -6 < x $\le$ -2 
B)  -6 $\le$ x < -2 
C)  -6 $\le$ x $\le$ -2 
D)  -6 < x < -2

Question 16

Solve the problem.
-Roberto invested some money at 5%, and then invested $ 4000 more than twice this amount at 4%. His total annual income from the two investments was $ 1460. How much was invested at 4%?

Accepted Answer

A)  $ 20,000 
B)  $ 24,000 
C)  $ 2400 
D)  $ 12,000 
A)  $ 20,000 
B)  $ 24,000 
C)  $ 2400 
D)  $ 12,000

Question 17

Provide an appropriate response.
-Give three ratios that are equivalent to 20 to 50.

Accepted Answer

Answers wi

Question 18

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-The First National Bank pays 3.5% simple interest per year on savings accounts. What is the annual income on a savings account of   ? Round to the nearest dollar.

Accepted Answer

A)  $ 1897 
B)  $ 2324 
C)  $ 190 
D)  $ 23,240 
A)  $ 1897 
B)  $ 2324 
C)  $ 190 
D)  $ 23,240

Question 19

Write the answer to the problem as an algebraic expression.
-A theater ticket for adults is A dollars and the price of a child's ticket is c dollars. If 14 adults and 21 children attend the theater one night, how much money did the theater make?

Accepted Answer

A)  21 A + 14 c dollars 
B)  14 c + c A dollars 
C)  294 A c dollars 
D)  14 A + 21 c dollars 
A)  21 A + 14 c dollars 
B)  14 c + c A dollars 
C)  294 A c dollars 
D)  14 A + 21 c dollars

Question 20

Choose the one alternative that best completes the statement or answers the question.
Find the LCD of the list of fractions.
-  ,

Accepted Answer

A)  224 
B)  336 
C)  1344 
D)  672 
A)  224 
B)  336 
C)  1344 
D)  672

Solve the problem. -Janet drove 268 kilometers and the trip took 4 hours. How fast was Janet traveling?

Choose the one alternative that best completes the statement or answers the question Solve the equation. -10y + 2 = 1 + 3y

Solve the problem. -The distance between city A and city B is 3500 mi. On a certain map, this distance is represented by 105 in. On the same map, city C and city D are 108 in. apart. What is the actual distance between city C and city D?

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -I = prt; I = 8.4, p = 210, r = 0.01

Solve the equation. --6a = 36

Choose the one alternative that best completes the statement or answers the question Solve the equation. - ( 6x - 12) = ( 8x - 4)

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -P = 2L + 2W; P = 18, W = 5

Solve the formula for the specified variable. -I = for n

Solve the equation. - =

Multiply by powers of 10. -0.000058 × 1000

Express the phrase as a ratio in lowest terms. -68 ft to 16 ft

Solve the inequality and write the solution set in interval notation. -4x $\le$ - 36

Solve the equation. -4 - (x - 4) = -5x + 4(x + 1)

Write an inequality involving the variable x that describes the set of numbers graphed. -

Solve the problem. -Roberto invested some money at 5%, and then invested $ 4000 more than twice this amount at 4%. His total annual income from the two investments was $ 1460. How much was invested at 4%?

Provide an appropriate response. -Give three ratios that are equivalent to 20 to 50.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The First National Bank pays 3.5% simple interest per year on savings accounts. What is the annual income on a savings account of ? Round to the nearest dollar.

Write the answer to the problem as an algebraic expression. -A theater ticket for adults is A dollars and the price of a child's ticket is c dollars. If 14 adults and 21 children attend the theater one night, how much money did the theater make?

The Real Number System

Linear Equations and Inequalities in One Variable

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring and Applications

Rational Expressions and Applications

Roots and Radicals

Quadratic Equations

Preparing for Your Math Final

Filters

Exam 3: Linear Equations and Inequalities in Two Variables; Functions