Deck 2: Solving Equations and Inequalities

Question 1

Solve the following equation.

A)
B)
C)
D)
E)

Answer 1

Question 2

Set and solve the resulting equation.

A)
B)
C)
D)
E)

Answer 2

Question 3

Solve:

A)
B)
C)
D)
E)

Answer 3

Question 4

Simplify and write the answer in standard form.

A)
B)
C)
D) The expression cannot be simplified.
E)

Question 5

Solve using the quadratic formula.

A)
B)
C)
D)
E)

Question 6

Solve the following quadratic equation by factoring.

A)
B)
C)
D)
E)

Question 7

Which of the following is a zero of the given function? , ' ,

A)
B)
C)
D)
E) none of these

Question 8

Solve the following equation using any convenient method.

A)
B)
C)
D)
E)

Question 9

Simplify and write the answer in standard form.

A) i
B) i
C) i
D) i
E) i

Question 10

Simplify and write the answer in standard form.

A)
B)
C)
D)
E)

Question 11

Find the x-intercepts of the graph of the equation

A)
B) ,
C) ,
D)
E) ,

Question 12

Which of the following is a zero of the given function? , , ,

A)
B)
C)
D)
E) none of these

Question 13

Solve by factoring.

A)
B)
C)
D)
E)

Question 14

Determine any point(s) of intersection between the following equations.

A)
B)
C)
D)
E)

Question 15

Solve the following equation.

A)
B)
C)
D)
E)

Question 16

Find all solutions of the following equation algebraically.

A)
B)
C)
D)
E)

Question 17

Find all solutions of the following equation algebraically.

A)
B)
C)
D)
E)

Question 18

Find all solutions of .

A)
B)
C)
D)
E)

Question 19

Solve:

A)
B)
C)
D)
E)

Question 20

Solve:

A) no solution
B)
C)
D)
E)

Question 21

Solve:

A)
B)
C)
D)
E)

Question 22

Simplify and write the answer in standard form.

A)
B)
C)
D)
E)

Question 23

Solve the inequality and write the solution set in interval notation.

A)
B)
C)
D)
E)

Question 24

Determine any point(s) of intersection between the following equations.

A)
B)
C)
D)
E)

Question 25

Solve the following equation using any convenient method.

A)
B)
C)
D)
E)

Question 26

Solve using the quadratic formula.

A)
B)
C)
D)
E)

Question 27

Solve:

A)
B)
C)
D)
E)

Question 28

Solve by factoring.

A)
B)
C)
D)
E)

Question 29

Solve the following equation.

A)
B)
C)
D)
E)

Question 30

Use absolute value notation to define the interval shown below. -1 9

A)
B)
C)
D)
E)

Question 31

Solve the following quadratic equation by factoring.

A)
B)
C)
D)
E)

Question 32

Simplify and write the answer in standard form.

A) i
B) i
C) i
D) i
E) i

Question 33

Solve the following equation.

A)
B)
C)
D)
E)

Question 34

Which of the following is a zero of the given function? , ' ,

A)
B)
C)
D)
E) none of these

Question 35

The average lengths L of cellular phone calls in minutes from 1999 to 2004 are shown in the table below. Use the regression feature of a graphing utility to find a linear model for the data. Let t represent the year, with t = 9 corresponding to 1999. Use the model to predict the average lengths of cellular phone calls for the year 2012. Round your answer to two decimal places.

A) 5.00 minutes
B) 8.00 minutes
C) 4.00 minutes
D) 2.00 minutes
E) 3.00 minutes

Question 36

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.
Find the equation of the line that seems to best fit the data. Use the model to estimate the elongation of the spring when a force of 70 kilograms is applied. Round your answer to one decimal place.

A) 2.3 centimeters
B) 4.6 centimeters
C) 6.9 centimeters
D) 9.2 centimeters
E) 3.5 centimeters

Question 37

Simplify and write the answer in standard form.

A)
B) The expression cannot be simplified.
C)
D)
E)

Question 38

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.
Sketch a scatter plot of the data.

A)
B)
C)
D)
E)

Question 39

Find all solutions of .

A)
B)
C)
D)
E)

Question 40

Which of the following is a zero of the given function? , , ,

A)
B)
C)
D)
E) none of these

Question 41

Solve:

A)
B)
C)
D)
E)

Question 42

Find all solutions of the following equation algebraically.

A)
B)
C)
D)
E)

Question 43

Which of the following is a zero of the given function? , , ,

A)
B)
C)
D)
E) none of these

Question 44

Solve:

A)
B)
C)
D)
E)

Question 45

Solve:

A) no solution
B)
C)
D)
E)

Question 46

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.
Find the equation of the line that seems to best fit the data. Use the model to estimate the elongation of the spring when a force of 35 kilograms is applied. Round your answer to one decimal place.

A) 2.9 centimeters
B) 8.7 centimeters
C) 4.4 centimeters
D) 5.8 centimeters
E) 11.6 centimeters

Question 47

Simplify and write the answer in standard form.

A)
B) The expression cannot be simplified.
C)
D)
E)

Question 48

Use absolute value notation to define the interval shown below. -8 0

A)
B)
C)
D)
E)

Question 49

Set and solve the resulting equation.

A)
B)
C)
D)
E)

Question 50

Solve the inequality and write the solution set in interval notation.

A)
B)
C)
D)
E)

Question 51

Determine any point(s) of intersection between the following equations.

A)
B)
C)
D)
E)

Question 52

Find all solutions of the following equation algebraically.

A)
B)
C)
D)
E)

Question 53

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.
Sketch a scatter plot of the data.

A)
B)
C)
D)
E)

Question 54

The average lengths L of cellular phone calls in minutes from 1999 to 2004 are shown in the table below. Use the regression feature of a graphing utility to find a linear model for the data. Let t represent the year, with t = 9 corresponding to 1999. Use the model to predict the average lengths of cellular phone calls for the year 2006. Round your answer to two decimal places.

A) 6.54 minutes
B) 1.64 minutes
C) 2.27 minutes
D) 4.27 minutes
E) 3.27 minutes

Question 55

Solve the following equation.

A)
B)
C)
D)
E)

Question 56

Find the x-intercepts of the graph of the equation

A)
B) ,
C)
D) ,
E) ,

Question 57

Simplify and write the answer in standard form.

A) i
B) i
C) i
D) i
E) i

Question 58

Simplify and write the answer in standard form.

A)
B)
C)
D)
E)

Question 59

Solve the following equation.

A)
B)
C)
D)
E)

Question 60

Which of the following is a zero of the given function? , ' ,

A)
B)
C)
D)
E) none of these

Question 61

Find all solutions of the following equation algebraically.

A)
B)
C)
D)
E)

Question 62

Set and solve the resulting equation.

A)
B)
C)
D)
E)

Question 63

Solve for x:

A)
B)
C)
D)
E)

Question 64

The average lengths L of cellular phone calls in minutes from 1999 to 2004 are shown in the table below. Use the regression feature of a graphing utility to find a linear model for the data. Let t represent the year, with t = 9 corresponding to 1999. Use the model to predict the average lengths of cellular phone calls for the year 2010. Round your answer to two decimal places.

A) 7.52 minutes
B) 2.76 minutes
C) 4.76 minutes
D) 1.88 minutes
E) 3.76 minutes

Question 65

Find all solutions of the following equation algebraically.

A)
B)
C)
D)
E)

Question 66

Solve using the quadratic formula.

A)
B)
C)
D)
E)

Question 67

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.
Sketch a scatter plot of the data.

A)
B)
C)
D)
E)

Question 68

Solve the inequality and write the solution set in interval notation.

A)
B)
C)
D)
E)

Question 69

Solve the following equation.

A)
B)
C)
D)
E)

Question 70

Solve by factoring.

A)
B)
C)
D)
E)

Question 71

Solve:

A)
B) no solution
C)
D)
E)

Question 72

Use absolute value notation to define the interval shown below. -7 9

A)
B)
C)
D)
E)

Question 73

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.
Find the equation of the line that seems to best fit the data. Use the model to estimate the elongation of the spring when a force of 30 kilograms is applied. Round your answer to one decimal place.

A) 6.0 centimeters
B) 4.0 centimeters
C) 8.0 centimeters
D) 3.0 centimeters
E) 2.0 centimeters

Question 74

Solve for x, rounding your answer to the nearest thousandth.

A) -0.494
B) -0.033
C) 5.491
D) -0.365
E) 6.009

Question 75

Solve the following quadratic equation by factoring.

A)
B)
C)
D)
E)

Question 76

Simplify and write the answer in standard form.

A)
B)
C)
D)
E)

Question 77

Find the x-intercepts of the graph of the equation

A)
B) ,
C) ,
D) ,
E)

Question 78

Solve the following equation using any convenient method.

A)
B)
C)
D)
E)

Question 79

Find all solutions of .

A)
B)
C)
D)
E)

Question 80

Determine any point(s) of intersection between the following equations.

A)
B)
C)
D)
E)