Question 1

Decide whether the proportion is true or false.
-  =

Accepted Answer

A) True 
 B)False

Question 2

Choose the one alternative that best completes the statement or answers the question Solve the equation.
-3(y + 2) = 4(y - 3)

Accepted Answer

A)  6 
B)  -6 
C)  18 
D)  -18 
A)  6 
B)  -6 
C)  18 
D)  -18

Question 3

Provide an appropriate response.
-Which one of the following ratios is not the same as 4 to 16?

Accepted Answer

A)  40 to 160 
B)  0.25 
C)  2 to 8 
D)  4 to 1 
A)  40 to 160 
B)  0.25 
C)  2 to 8 
D)  4 to 1

Question 4

Answer the question.
-Which of the following would not be a reasonable answer in an applied problem that requires finding the number of cars parked in a parking lot?

Accepted Answer

A)  -12 
B)  64 
C)  46 
D)  5 
A)  -12 
B)  64 
C)  46 
D)  5

Question 5

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x on the left side.
-0.2x = 7; multiplied

Accepted Answer

A)  5 
B)  -   
C)  7 
D)  0.2 
A)  5 
B)  -   
C)  7 
D)  0.2

Question 6

Solve the equation. First simplify the expression by combining like terms.
-9(k - 9) - ( 8k + 3) = -9

Accepted Answer

A)  { - 93} 
B)  { - 75} 
C)  { 75} 
D)  { - 3} 
A)  { - 93} 
B)  { - 75} 
C)  { 75} 
D)  { - 3}

Question 7

Solve the equation.
--x =

Accepted Answer

A)    
B)  {1} 
C)    
D)  { 14} 
A)    
B)  {1} 
C)    
D)  { 14}

Question 8

Express the phrase as a ratio in lowest terms.
-21 in. to 6 in.

Accepted Answer

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

Question 9

Solve the inequality. Write the solution set in interval notation and graph it.
--9x + 4 - 9x < 10 - 20x + 2

Accepted Answer

A)  (-$\infty$, 8)
  
B)  ( 8, $\infty$)
  
C)  ( 4, $\infty$)
  
D)  (-$\infty$, 4)
  
A)  (-$\infty$, 8)
  
B)  ( 8, $\infty$)
  
C)  ( 4, $\infty$)
  
D)  (-$\infty$, 4)

Question 10

Solve the equation.
-  =

Accepted Answer

A)  { 66} 
B)    
C)  { 13} 
D)    
A)  { 66} 
B)    
C)  { 13} 
D)

Question 11

Write each inequality in interval notation and graph the interval on a number line.
-0 $\le$x < 4

Accepted Answer

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

Question 12

Choose the one alternative that best completes the statement or answers the question Solve the equation.
-3(x + 2) = ( 3x + 6)

Accepted Answer

A)  { } 
B)  {all real numbers} 
C)  {0} 
D)  { 12] 
A)  { } 
B)  {all real numbers} 
C)  {0} 
D)  { 12]

Question 13

Write the answer to the problem as an algebraic expression.
-Two numbers have a sum of 52. One of the numbers is s. Find the other number.

Accepted Answer

A)  s + 52 
B)  52 + s 
C)  s - 52 
D)  52 - s 
A)  s + 52 
B)  52 + s 
C)  s - 52 
D)  52 - s

Question 14

Use a formula to solve the problem
-A pie-shaped (triangular) lake-front lot has a perimeter of 2100 feet. One side is 400 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.

Accepted Answer

A)  500 ft, 900 ft, 1000 ft 
B)  400 ft, 800 ft, 900 ft 
C)  500 ft, 500 ft, 500 ft 
D)  100 ft, 200 ft, 300 ft 
A)  500 ft, 900 ft, 1000 ft 
B)  400 ft, 800 ft, 900 ft 
C)  500 ft, 500 ft, 500 ft 
D)  100 ft, 200 ft, 300 ft

Question 15

Solve the inequality. Write the solution set in interval notation and graph it.
-6c + 2 $\le$ 5c + 10

Accepted Answer

A)  ( 6, $\infty$)
  
B)  (-$\infty$, 6)
  
C)  [8, $\infty$)
  
D)  (-$\infty$, 8]
  
A)  ( 6, $\infty$)
  
B)  (-$\infty$, 6)
  
C)  [8, $\infty$)
  
D)  (-$\infty$, 8]

Question 16

Solve the problem.
-A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 27 marbles in it. At least how many green marbles does it have?

Accepted Answer

A)  At least 18 green marbles 
B)  At least 9 green marbles 
C)  At least 14 green marbles 
D)  At least 10 green marbles 
A)  At least 18 green marbles 
B)  At least 9 green marbles 
C)  At least 14 green marbles 
D)  At least 10 green marbles

Question 17

Multiply by powers of 10.
-4.7 × 1000

Accepted Answer

A)  4.700 
B)  47,000 
C)  0.0047 
D)  4700 
A)  4.700 
B)  47,000 
C)  0.0047 
D)  4700

Question 18

Solve the inequality and write the solution set in interval notation.
-- 6x $\ge$18

Accepted Answer

A)  (-$\infty$, 3] 
B)  [ -3, $\infty$) 
C)  [ 3, $\infty$) 
D)  (-$\infty$, -3] 
A)  (-$\infty$, 3] 
B)  [ -3, $\infty$) 
C)  [ 3, $\infty$) 
D)  (-$\infty$, -3]

Question 19

Solve the inequality. Write the solution set in interval notation and graph it.
--15 $\le$ -2z - 3 $\le$ -7

Accepted Answer

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

Question 20

Solve the equation. First simplify the expression by combining like terms.
-3( -7x + 5) + 5( 3 + 7x) = ( 15 + 15x)

Accepted Answer

A)  { 30} 
B)  { 15} 
C)  { -15} 
D)  { 45} 
A)  { 30} 
B)  { 15} 
C)  { -15} 
D)  { 45}

Decide whether the proportion is true or false. - =

Choose the one alternative that best completes the statement or answers the question Solve the equation. -3(y + 2) = 4(y - 3)

Provide an appropriate response. -Which one of the following ratios is not the same as 4 to 16?

Answer the question. -Which of the following would not be a reasonable answer in an applied problem that requires finding the number of cars parked in a parking lot?

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x on the left side. -0.2x = 7; multiplied

Solve the equation. First simplify the expression by combining like terms. -9(k - 9) - ( 8k + 3) = -9

Solve the equation. --x =

Express the phrase as a ratio in lowest terms. -21 in. to 6 in.

Solve the inequality. Write the solution set in interval notation and graph it. --9x + 4 - 9x < 10 - 20x + 2

Solve the equation. - =

Write each inequality in interval notation and graph the interval on a number line. -0 $\le$ x < 4 $Write each inequality in interval notation and graph the interval on a number line. -0 \le x < 4$

Choose the one alternative that best completes the statement or answers the question Solve the equation. -3(x + 2) = ( 3x + 6)

Write the answer to the problem as an algebraic expression. -Two numbers have a sum of 52. One of the numbers is s. Find the other number.

Use a formula to solve the problem -A pie-shaped (triangular) lake-front lot has a perimeter of 2100 feet. One side is 400 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.

Solve the inequality. Write the solution set in interval notation and graph it. -6c + 2 $\le$ 5c + 10 $Solve the inequality. Write the solution set in interval notation and graph it. -6c + 2 \le 5c + 10$

Solve the problem. -A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 27 marbles in it. At least how many green marbles does it have?

Multiply by powers of 10. -4.7 × 1000

Solve the inequality and write the solution set in interval notation. -- 6x $\ge$ 18

Solve the inequality. Write the solution set in interval notation and graph it. --15 $\le$ -2z - 3 $\le$ -7 $Solve the inequality. Write the solution set in interval notation and graph it. --15 \le -2z - 3 \le -7$

Solve the equation. First simplify the expression by combining like terms. -3( -7x + 5) + 5( 3 + 7x) = ( 15 + 15x)

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

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