Question 1

Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers.
-(-5 + 7i) - 3

Accepted Answer

A)  8 - 7i 
B)  -2 + 7i 
C)  -2 - 7i 
D)  -8 + 7i 
A)  8 - 7i 
B)  -2 + 7i 
C)  -2 - 7i 
D)  -8 + 7i

Question 2

Solve the problem.
-Decide whether or not the points are the vertices of a right triangle. (-9, 8), (-3, 10), (-4, 5)

Accepted Answer

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

Question 3

Solve the problem.
-A merchant has coffee worth $4 a pound that she wishes to mix with 90 pounds of coffee worth $16 a pound to get a mixture that can be sold for $12 a pound. How many pounds of the $4 coffee should be used?

Accepted Answer

A)  67.5 lb 
B)  135 lb 
C)  45 lb 
D)  22.5 lb 
A)  67.5 lb 
B)  135 lb 
C)  45 lb 
D)  22.5 lb

Question 4

Write the standard equation for the circle.
-

Accepted Answer

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

Question 5

Solve the problem.
-Suppose a cost-benefit model is given by   , where y is the cost in thousands of dollars for removing x percent of a given pollutant. Find the cost of removing 40% to the nearest dollar.

Accepted Answer

A)  $666 
B)  $1760 
C)  $2933 
D)  $4400 
A)  $666 
B)  $1760 
C)  $2933 
D)  $4400

Question 6

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation.
-

Accepted Answer

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

Question 7

Write an absolute value inequality that has the given solution set.
-

Accepted Answer

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

Question 8

Find the values of x for which the expression is a real number.
-

Accepted Answer

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

Question 9

Solve the problem.
-From a point on a river, two boats are driven in opposite directions, one at 9 miles per hour and the other at 10 miles per hour. In how many hours will they be 57 miles apart?

Accepted Answer

A)  4 hr 
B)  1 hr 
C)  5 hr 
D)  3 hr 
A)  4 hr 
B)  1 hr 
C)  5 hr 
D)  3 hr

Question 10

Solve the problem using your calculator.
-The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands). Use linear regression to find a linear function that predicts the number of products sold as a
Function of the cost of advertising.

Accepted Answer

A)  y = 26.4 + 1.42x 
B)  y = -26.4 - 1.42x 
C)  y = 55.8 + 2.79x 
D)  y = 55.8 - 2.79x 
A)  y = 26.4 + 1.42x 
B)  y = -26.4 - 1.42x 
C)  y = 55.8 + 2.79x 
D)  y = 55.8 - 2.79x

Question 11

Use the y-intercept and slope to sketch the graph of the equation.
-

Accepted Answer

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

Question 12

Solve the formula for the specified variable.
-  for n

Accepted Answer

A)    
B)    
C)  n = IR(Ir - 
E)  
D)    
A)    
B)    
C)  n = IR(Ir - 
E)  
D)

Question 13

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

Accepted Answer

A)  33 
B)  45 
C)  39 
D)  27 
A)  33 
B)  45 
C)  39 
D)  27

Question 14

Solve the problem.
-The area of a square is 81 square centimeters. If the same amount is added to one dimension and removed from the other, the resulting rectangle has an area 9 square centimeters less than the area of the square. How much is
Added and subtracted?

Accepted Answer

A)  12 cm 
B)  3 cm 
C)  4 cm 
D)  9 cm 
A)  12 cm 
B)  3 cm 
C)  4 cm 
D)  9 cm

Question 15

Solve the problem using your calculator.
-The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Use linear regression to find a linear function that predicts a student's score as a function of
The number of hours he or she studied.

Accepted Answer

A)  y = 67.3 + 1.07x 
B)  y = 33.7 - 2.14x 
C)  y = 33.7 +2.14x 
D)  y = -67.3 + 1.07x 
A)  y = 67.3 + 1.07x 
B)  y = 33.7 - 2.14x 
C)  y = 33.7 +2.14x 
D)  y = -67.3 + 1.07x

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.
-(-6, 3), 3x - 4y = 4

Accepted Answer

A)    
B)  2 
C)    
D)    
A)    
B)  2 
C)    
D)

Question 17

Write an inequality of the form   k or of the form   k so that the inequality has the given solution set.
-(-4, 6)

Accepted Answer

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

Question 18

Solve the problem.
-Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on
Entering the program versus their current GPAs. By using linear regression, the following function is obtained:
Y = 3.67 + 0.0313x where x is entering GPA and y is current GPA. Use this function to predict current GPA of a
Student whose entering GPA is 3.6.

Accepted Answer

A)  3.78 
B)  3.40 
C)  3.58 
D)  3.29 
A)  3.78 
B)  3.40 
C)  3.58 
D)  3.29

Question 19

Find the slope of the line containing the pair of points.
-(7, -8), (-4, -9)

Accepted Answer

A)  11 
B)  - 11 
C)    
D)    
A)  11 
B)  - 11 
C)    
D)

Question 20

Solve the formula for the specified variable.
-A = P(1 + nr) for r

Accepted Answer

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

Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers. -(-5 + 7i) - 3

Solve the problem. -Decide whether or not the points are the vertices of a right triangle. (-9, 8), (-3, 10), (-4, 5)

Solve the problem. -A merchant has coffee worth $4 a pound that she wishes to mix with 90 pounds of coffee worth $16 a pound to get a mixture that can be sold for $12 a pound. How many pounds of the $4 coffee should be used?

Write the standard equation for the circle. -

Solve the problem. -Suppose a cost-benefit model is given by , where y is the cost in thousands of dollars for removing x percent of a given pollutant. Find the cost of removing 40% to the nearest dollar.

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -

Write an absolute value inequality that has the given solution set. -

Find the values of x for which the expression is a real number. -

Solve the problem. -From a point on a river, two boats are driven in opposite directions, one at 9 miles per hour and the other at 10 miles per hour. In how many hours will they be 57 miles apart?

Use the y-intercept and slope to sketch the graph of the equation. -

Solve the formula for the specified variable. - for n

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

Solve the problem. -The area of a square is 81 square centimeters. If the same amount is added to one dimension and removed from the other, the resulting rectangle has an area 9 square centimeters less than the area of the square. How much is Added and subtracted?

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. -(-6, 3), 3x - 4y = 4

Write an inequality of the form k or of the form k so that the inequality has the given solution set. -(-4, 6)

Find the slope of the line containing the pair of points. -(7, -8), (-4, -9)

Solve the formula for the specified variable. -A = P(1 + nr) for r

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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Exam 1: Equations, Inequalities, and Modeling

Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers. -(-5 + 7i) - 3

Solve the problem. -Decide whether or not the points are the vertices of a right triangle. (-9, 8), (-3, 10), (-4, 5)

Solve the problem. -A merchant has coffee worth $4 a pound that she wishes to mix with 90 pounds of coffee worth $16 a pound to get a mixture that can be sold for $12 a pound. How many pounds of the $4 coffee should be used?

Write the standard equation for the circle. -

Solve the problem. -Suppose a cost-benefit model is given by , where y is the cost in thousands of dollars for removing x percent of a given pollutant. Find the cost of removing 40% to the nearest dollar.

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -

Write an absolute value inequality that has the given solution set. -

Find the values of x for which the expression is a real number. -

Solve the problem. -From a point on a river, two boats are driven in opposite directions, one at 9 miles per hour and the other at 10 miles per hour. In how many hours will they be 57 miles apart?

Use the y-intercept and slope to sketch the graph of the equation. -

Solve the formula for the specified variable. - for n

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

Solve the problem. -The area of a square is 81 square centimeters. If the same amount is added to one dimension and removed from the other, the resulting rectangle has an area 9 square centimeters less than the area of the square. How much is Added and subtracted?

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. -(-6, 3), 3x - 4y = 4

Write an inequality of the form k or of the form k so that the inequality has the given solution set. -(-4, 6)

Find the slope of the line containing the pair of points. -(7, -8), (-4, -9)

Solve the formula for the specified variable. -A = P(1 + nr) for r

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters