Question 1

Find the center and radius of the circle.
-

Accepted Answer

A)  Center: (5, 8); radius: 9 
B)  Center: (-8, -5); radius: 3 
C)  Center: (8, 5); radius: 3 
D)  Center: ( -5, -8); radius: 9 
A)  Center: (5, 8); radius: 9 
B)  Center: (-8, -5); radius: 3 
C)  Center: (8, 5); radius: 3 
D)  Center: ( -5, -8); radius: 9

Question 2

Find the distance between the points, and find the midpoint of the line segment joining them.
-(1, 8) and (5, 2)

Accepted Answer

A)    
B)    
C)  2; (6, 10) 
D)  2; (-4, 6) 
A)    
B)    
C)  2; (6, 10) 
D)  2; (-4, 6)

Question 3

Solve the problem.
-The inequality   describes the range of monthly average temperatures T in degrees Fahrenheit at a City X. (i) Solve the inequality. (ii) If the high and low monthly average temperatures satisfy equality, interpret
The inequality.

Accepted Answer

A)    ; The monthly averages are always within 3.7° of 37°F. 
B)    ; The monthly averages are always within 7.2° of 37°F. 
C)    The monthly averages are always within 14.4° of 37°F. 
D)    ; The monthly averages are always within 7.4° of 37°F. 
A)    ; The monthly averages are always within 3.7° of 37°F. 
B)    ; The monthly averages are always within 7.2° of 37°F. 
C)    The monthly averages are always within 14.4° of 37°F. 
D)    ; The monthly averages are always within 7.4° of 37°F.

Question 4

Name the quadrant in which the point is located, or the axis on which it lies .
-(4, 5)

Accepted Answer

A)  Quadrant IV 
B)  Quadrant II 
C)  Quadrant III 
D)  Quadrant I 
A)  Quadrant IV 
B)  Quadrant II 
C)  Quadrant III 
D)  Quadrant I

Question 5

Solve the problem.
-A barge travels along a river between Metro City and Smithport, which are 50 miles apart. The speed of the current is 2.4 mph. If the barge can make the downstream trip in 5.9 hours less than it can travel the upstream
Trip, then what is the barge's speed in still water? Round your answer to one decimal place.

Accepted Answer

A)  6.8 mph 
B)  9.1 mph 
C)  5.4 mph 
D)  8.3 mph 
A)  6.8 mph 
B)  9.1 mph 
C)  5.4 mph 
D)  8.3 mph

Question 6

Write an inequality whose solution set is the interval.
-

Accepted Answer

A)    
B)  x  17 
D)    
A)    
B)  x  17 
D)

Question 7

Find the perfect square trinomial whose first two terms are given.
-x

Accepted Answer

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

Question 8

Solve the equation.
-

Accepted Answer

A)    
B)  {-4} 
C)  {-8} 
D)  {8} 
A)    
B)  {-4} 
C)  {-8} 
D)  {8}

Question 9

Solve the problem.
-Find the value of k so that the graph of 5y + kx = 4 and the line containing the points (5, -8) and (-2, -4) are perpendicular.

Accepted Answer

A)  k = 11.25 
B)  k = -8.75 
C)  k = 8.75 
D)  k = -11.25 
A)  k = 11.25 
B)  k = -8.75 
C)  k = 8.75 
D)  k = -11.25

Question 10

Write the ordered pair for each point shown in the xy plane.
-

Accepted Answer

A)  C = (5, 10), D = (-5, 6) 
B)  C = (-3, -5), D = (5, -5) 
C)  C = (-3, 5), D = (-5, 6) 
D)  C = (-3, 5), D = (6, -5) 
A)  C = (5, 10), D = (-5, 6) 
B)  C = (-3, -5), D = (5, -5) 
C)  C = (-3, 5), D = (-5, 6) 
D)  C = (-3, 5), D = (6, -5)

Question 11

Solve the equation by factoring.
-(x + 10)(x - 4) = -13

Accepted Answer

A)  {-9, 3} 
B)  {3, 9} 
C)  {10, -4} 
D)  {-10, 4} 
A)  {-9, 3} 
B)  {3, 9} 
C)  {10, -4} 
D)  {-10, 4}

Question 12

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

Accepted Answer

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

Question 13

Find the real or imaginary solutions by using the quadratic formula.
-  = -6n - 3

Accepted Answer

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

Question 14

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation.
-3(8t + 10) = 6(2t + 3)

Accepted Answer

A)  Identity, {all real numbers} 
B)  Conditional, {-1} 
C)    
D)  Conditional, {-4} 
A)  Identity, {all real numbers} 
B)  Conditional, {-1} 
C)    
D)  Conditional, {-4}

Question 15

Find the x- and y-intercepts for the equation. Then graph the equation.
-x = 2y - 7

Accepted Answer

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

Question 16

Write an equation in slope-intercept form for the line shown.
-

Accepted Answer

A)  y = -x - 2 
B)  y = -x + 2 
C)  y = x - 2 
D)  y = x + 2 
A)  y = -x - 2 
B)  y = -x + 2 
C)  y = x - 2 
D)  y = x + 2

Question 17

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 
A)  Nonlinear 
B)  No relationship 
C)  Linear

Question 18

Use the y-intercept and slope to sketch the graph of the equation.
-y = 3x + 5

Accepted Answer

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

Question 19

Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers.
-(9 + 5i)(6 + 2i)

Accepted Answer

A)  10i2 + 48i + 54 
B)  44 - 48i 
C)  44 + 48i 
D)  64 + 12i 
A)  10i2 + 48i + 54 
B)  44 - 48i 
C)  44 + 48i 
D)  64 + 12i

Question 20

Solve the equation.
-3(y + 3) = 4(y - 8)

Accepted Answer

A)  {23} 
B)  {41} 
C)  {-23} 
D)  {-41} 
A)  {23} 
B)  {41} 
C)  {-23} 
D)  {-41}

Find the center and radius of the circle. -

Find the distance between the points, and find the midpoint of the line segment joining them. -(1, 8) and (5, 2)

Solve the problem. -The inequality describes the range of monthly average temperatures T in degrees Fahrenheit at a City X. (i) Solve the inequality. (ii) If the high and low monthly average temperatures satisfy equality, interpret The inequality.

Name the quadrant in which the point is located, or the axis on which it lies . -(4, 5)

Write an inequality whose solution set is the interval. -

Find the perfect square trinomial whose first two terms are given. -x

Solve the equation. -

Solve the problem. -Find the value of k so that the graph of 5y + kx = 4 and the line containing the points (5, -8) and (-2, -4) are perpendicular.

Write the ordered pair for each point shown in the xy plane. -

Solve the equation by factoring. -(x + 10)(x - 4) = -13

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

Find the real or imaginary solutions by using the quadratic formula. - = -6n - 3

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -3(8t + 10) = 6(2t + 3)

Find the x- and y-intercepts for the equation. Then graph the equation. -x = 2y - 7

Write an equation in slope-intercept form for the line shown. -

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

Use the y-intercept and slope to sketch the graph of the equation. -y = 3x + 5

Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers. -(9 + 5i)(6 + 2i)

Solve the equation. -3(y + 3) = 4(y - 8)

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

Exam 1: Equations, Inequalities, and Modeling

Find the center and radius of the circle. -

Find the distance between the points, and find the midpoint of the line segment joining them. -(1, 8) and (5, 2)

Solve the problem. -The inequality describes the range of monthly average temperatures T in degrees Fahrenheit at a City X. (i) Solve the inequality. (ii) If the high and low monthly average temperatures satisfy equality, interpret The inequality.

Name the quadrant in which the point is located, or the axis on which it lies . -(4, 5)

Write an inequality whose solution set is the interval. -

Find the perfect square trinomial whose first two terms are given. -x

Solve the equation. -

Solve the problem. -Find the value of k so that the graph of 5y + kx = 4 and the line containing the points (5, -8) and (-2, -4) are perpendicular.

Write the ordered pair for each point shown in the xy plane. -

Solve the equation by factoring. -(x + 10)(x - 4) = -13

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

Find the real or imaginary solutions by using the quadratic formula. - = -6n - 3

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -3(8t + 10) = 6(2t + 3)

Find the x- and y-intercepts for the equation. Then graph the equation. -x = 2y - 7

Write an equation in slope-intercept form for the line shown. -

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

Use the y-intercept and slope to sketch the graph of the equation. -y = 3x + 5

Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers. -(9 + 5i)(6 + 2i)

Solve the equation. -3(y + 3) = 4(y - 8)

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