Question 1

Solve the absolute value inequality. Write the solution set using interval notation.
-

Accepted Answer

A)   
B)   
C)  - 7, 14 
D)

Question 2

Solve the problem.
-Decide whether or not the points are the vertices of a right triangle. (-1, 0), (1, 4), (3, 3)

Accepted Answer

A)  No 
B)  Yes

Question 3

Find the product of the complex number and its conjugate.
-

Accepted Answer

A)  74 
B)  32 
C)  -24 
D)  18

Question 4

Use the square root property to find all real or imaginary solutions to the equation.
- = 11

Accepted Answer

A)   
B)   
C)   
D)

Question 5

Solve the problem.
-The value, v, in hundreds of dollars, of Juan's computer is approximated by  , where t is the number of years since he first bought the computer. Estimate the value of the computer 2 years after it was purchased.

Accepted Answer

A)  $700 
B)  $900 
C)  $760 
D)  $600

Question 6

Write an inequality of the form  k or of the form  k so that the inequality has the given solution set.
-[-10, 10]

Accepted Answer

A)   
B)   
C)   
D)

Question 7

Use the scatter diagram to determine whether there is a linear relationship, a nonlinear relationship, or no relationship
between the variables.
-

Accepted Answer

A)  Nonlinear 
B)  No relationship 
C)  Linear

Question 8

Decide whether the given number is a solution to the equation preceding it.
-p + 11 = 25; 14

Accepted Answer

A)  Yes 
B)  No

Question 9

Use the square root property to find all real or imaginary solutions to the equation.
- - 726 = 0

Accepted Answer

A)  {11} 
B)   
C)  {±12} 
D)  {364.5}

Question 10

Solve the problem.
-A grasshopper is perched on a reed 5 inches above the ground. It hops off the reed and lands on the ground about 7.9 inches away. During its hop, its height is given by the equation  , where x is the
Distance in inches from the base of the reed, and h is in inches. How far was the grasshopper from the base of
The reed when it was 3.75 inches above the ground? Round to the nearest tenth.

Accepted Answer

A)  0.6 inches 
B)  6.5 inches 
C)  7.9 inches 
D)  0.8 inches

Question 11

Find the real or imaginary solutions by using the quadratic formula.
- - 14x + 74 = 0

Accepted Answer

A)   
B)  {12, 2} 
C)   
D)

Question 12

Solve the absolute value equation.
-

Accepted Answer

A)  {0, 4} 
B)  {0} 
C)  {-4, 4} 
D)  {-4, 0}

Question 13

Solve the problem.
-From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 10 miles per hour and Fred rides 13 miles per hour. In how many hours will they be 115 miles apart?

Accepted Answer

A)  Not enough information 
B)  6 hours 
C)  4 hours 
D)  5 hours

Question 14

Solve the problem.
-A repair company's charge for repairing a certain type of copy machine fits the model y = 47.38 + 0.617x where y is the number of dollars charged and x is the number of minutes the repair person is on the job. How many
Minutes would it take for the cost of repair to reach $120? (Round to the nearest minute.)

Accepted Answer

A)  118 min 
B)  12 min 
C)  271 min 
D)  187 min

Question 15

Graph the equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 16

The distance d from the point  to the line Ax + By = C is given by the formula d  Find the exact
distance from the given point to the given line.
-(3, 6), y = 5x - 8

Accepted Answer

A)   
B)   
C)   
D)

Question 17

Use the square root property to find all real or imaginary solutions to the equation.
- + 12 = 0

Accepted Answer

A)   
B)  {-11.5} 
C)   
D)  {2}

Question 18

Solve the problem.
-Janet drove 325 kilometers and the trip took 5 hours. How fast was Janet traveling?

Accepted Answer

A)   
B)  65 kph 
C)  1625 kph 
D)  66 kph

Question 19

Solve the problem.
-Decide whether or not the points are the vertices of a right triangle. (7, 11), (13, 13), (19, 6)

Accepted Answer

A)  No 
B)  Yes

Question 20

For the equation in the form  + bx + c = 0, determine the number of real solutions by examining the graph of
y =  + bx + c.
- + 8x - 12 = 0

Accepted Answer

A)  0 
B)  Cannot be determined 
C)  1 
D)  2

Exam 1: Equations, Inequalities, and Modeling

Solve the absolute value inequality. Write the solution set using interval notation. -

Solve the problem. -Decide whether or not the points are the vertices of a right triangle. (-1, 0) , (1, 4) , (3, 3)

Find the product of the complex number and its conjugate. -

Use the square root property to find all real or imaginary solutions to the equation. - = 11

Solve the problem. -The value, v, in hundreds of dollars, of Juan's computer is approximated by , where t is the number of years since he first bought the computer. Estimate the value of the computer 2 years after it was purchased.

Write an inequality of the form k or of the form k so that the inequality has the given solution set. -[-10, 10]

Use the scatter diagram to determine whether there is a linear relationship, a nonlinear relationship, or no relationship between the variables. -

Decide whether the given number is a solution to the equation preceding it. -p + 11 = 25; 14

Use the square root property to find all real or imaginary solutions to the equation. - - 726 = 0

Find the real or imaginary solutions by using the quadratic formula. - - 14x + 74 = 0

Solve the absolute value equation. -

Solve the problem. -From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 10 miles per hour and Fred rides 13 miles per hour. In how many hours will they be 115 miles apart?

Graph the equation. -

The distance d from the point to the line Ax + By = C is given by the formula d Find the exact distance from the given point to the given line. -(3, 6) , y = 5x - 8

Use the square root property to find all real or imaginary solutions to the equation. - + 12 = 0

Solve the problem. -Janet drove 325 kilometers and the trip took 5 hours. How fast was Janet traveling?

Solve the problem. -Decide whether or not the points are the vertices of a right triangle. (7, 11) , (13, 13) , (19, 6)

For the equation in the form + bx + c = 0, determine the number of real solutions by examining the graph of y = + bx + c. - + 8x - 12 = 0